18 DODECAGONS INTERSECTED BY EACH OTHER, WHICH ARE OBTAINED BY SUB-DIVISION OF THE ANGLES OF THE TRIANGLES INTO FOUR EQUAL PARTS.
18 DODECAGONS INTERSECTED BY EACH OTHER, WHICH ARE OBTAINED BY SUB-DIVISION OF THE ANGLES OF THE TRIANGLES INTO FOUR EQUAL PARTS.
18 DODECAGONS INTERSECTED BY EACH OTHER, WHICH ARE OBTAINED BY SUB-DIVISION OF THE ANGLES OF THE TRIANGLES INTO FOUR EQUAL PARTS.
19 DODECAGONS CONTAINING SIX-POINTED STARS SUB-DIVIDED BY BANDS. THE RADIUS OF THE DODECAGONS IS EQUAL TO HALF A SIDE OF THE TRIANGLES OF DIVISION.
19 DODECAGONS CONTAINING SIX-POINTED STARS SUB-DIVIDED BY BANDS. THE RADIUS OF THE DODECAGONS IS EQUAL TO HALF A SIDE OF THE TRIANGLES OF DIVISION.
19 DODECAGONS CONTAINING SIX-POINTED STARS SUB-DIVIDED BY BANDS. THE RADIUS OF THE DODECAGONS IS EQUAL TO HALF A SIDE OF THE TRIANGLES OF DIVISION.
20 FROM THE APICES OF THE TRIANGLES DESCRIBE A CIRCUMFERENCE, WITH ITS RADIUS EQUAL TO HALF A SIDE OF THE TRIANGLES. THE SIX-POINTED STARS AND BANDS WHICH ARE DERIVED FROM THEM COULD BE OF DIFFERENT PROPORTIONS.
20 FROM THE APICES OF THE TRIANGLES DESCRIBE A CIRCUMFERENCE, WITH ITS RADIUS EQUAL TO HALF A SIDE OF THE TRIANGLES. THE SIX-POINTED STARS AND BANDS WHICH ARE DERIVED FROM THEM COULD BE OF DIFFERENT PROPORTIONS.
20 FROM THE APICES OF THE TRIANGLES DESCRIBE A CIRCUMFERENCE, WITH ITS RADIUS EQUAL TO HALF A SIDE OF THE TRIANGLES. THE SIX-POINTED STARS AND BANDS WHICH ARE DERIVED FROM THEM COULD BE OF DIFFERENT PROPORTIONS.
21 DISTRIBUTION PROCEEDING FROM HEXAGONS AND TRIANGLES.
21 DISTRIBUTION PROCEEDING FROM HEXAGONS AND TRIANGLES.
21 DISTRIBUTION PROCEEDING FROM HEXAGONS AND TRIANGLES.
22 SIX-POINTED STARS AND HEXAGONS, FROM WHICH PROCEED BAND-WORK AND LOZENGES.
22 SIX-POINTED STARS AND HEXAGONS, FROM WHICH PROCEED BAND-WORK AND LOZENGES.
22 SIX-POINTED STARS AND HEXAGONS, FROM WHICH PROCEED BAND-WORK AND LOZENGES.
23 HEXAGONS, TRIANGLES, AND SIX-POINTED STARS.
23 HEXAGONS, TRIANGLES, AND SIX-POINTED STARS.
23 HEXAGONS, TRIANGLES, AND SIX-POINTED STARS.
24 SUBJECT SIMILAR TO NUMBER 21.
24 SUBJECT SIMILAR TO NUMBER 21.
24 SUBJECT SIMILAR TO NUMBER 21.
PLATE LXXIV.Capital of Columns.
PLATE LXXIV.
PLATE LXXIV.
Capital of Columns.
Capital of Columns.
25 LARGE HEXAGONS CROSSED AND CUT BY FIGURES QUARTERED BY EIGHT SIDES; HORIZONTAL AND VERTICAL BANDS PROCEEDING FROM SIX-POINTED STARS.
25 LARGE HEXAGONS CROSSED AND CUT BY FIGURES QUARTERED BY EIGHT SIDES; HORIZONTAL AND VERTICAL BANDS PROCEEDING FROM SIX-POINTED STARS.
25 LARGE HEXAGONS CROSSED AND CUT BY FIGURES QUARTERED BY EIGHT SIDES; HORIZONTAL AND VERTICAL BANDS PROCEEDING FROM SIX-POINTED STARS.
26 FROM THE APICES OF THE TRIANGLES OF DIVISION DESCRIBE THE CIRCUMFERENCES, AND DIVIDE THEM INTO TWELVE EQUAL PARTS. BY THE POINTS OF THE STAR THUS MADE, DESCRIBE SIX HALF-CIRCLES, IN EACH CASE FORMING A ROSETTE. SMALL INTERCALARY CIRCLES UNITE THE ROSETTES.
26 FROM THE APICES OF THE TRIANGLES OF DIVISION DESCRIBE THE CIRCUMFERENCES, AND DIVIDE THEM INTO TWELVE EQUAL PARTS. BY THE POINTS OF THE STAR THUS MADE, DESCRIBE SIX HALF-CIRCLES, IN EACH CASE FORMING A ROSETTE. SMALL INTERCALARY CIRCLES UNITE THE ROSETTES.
26 FROM THE APICES OF THE TRIANGLES OF DIVISION DESCRIBE THE CIRCUMFERENCES, AND DIVIDE THEM INTO TWELVE EQUAL PARTS. BY THE POINTS OF THE STAR THUS MADE, DESCRIBE SIX HALF-CIRCLES, IN EACH CASE FORMING A ROSETTE. SMALL INTERCALARY CIRCLES UNITE THE ROSETTES.
27 EACH SIX-POINTED STAR IS SURROUNDED BY A ROSETTE OF SIX HEXAGONS, WHICH, IN THEIR TURN, DISTRIBUTE THEIR LINES TO FORM LARGER HEXAGONS.
27 EACH SIX-POINTED STAR IS SURROUNDED BY A ROSETTE OF SIX HEXAGONS, WHICH, IN THEIR TURN, DISTRIBUTE THEIR LINES TO FORM LARGER HEXAGONS.
27 EACH SIX-POINTED STAR IS SURROUNDED BY A ROSETTE OF SIX HEXAGONS, WHICH, IN THEIR TURN, DISTRIBUTE THEIR LINES TO FORM LARGER HEXAGONS.
28 EACH SIX-POINTED STAR IS SURROUNDED BY A ROSETTE OF SIX HEXAGONS, WHICH ARE SUPPLEMENTED BY PERPENDICULAR LINES, WHICH, BY INTERSECTING OCTAGONS THEMSELVES, ARE THE MEANS OF COMPLETING SMALL HEXAGONS.
28 EACH SIX-POINTED STAR IS SURROUNDED BY A ROSETTE OF SIX HEXAGONS, WHICH ARE SUPPLEMENTED BY PERPENDICULAR LINES, WHICH, BY INTERSECTING OCTAGONS THEMSELVES, ARE THE MEANS OF COMPLETING SMALL HEXAGONS.
28 EACH SIX-POINTED STAR IS SURROUNDED BY A ROSETTE OF SIX HEXAGONS, WHICH ARE SUPPLEMENTED BY PERPENDICULAR LINES, WHICH, BY INTERSECTING OCTAGONS THEMSELVES, ARE THE MEANS OF COMPLETING SMALL HEXAGONS.
29 FROM THE UPPER ANGLES OF THE SQUARES OF DIVISION TRACE STARS SIX-POINTED, ROTATING ALTERNATELY AS SHOWN IN DIAGRAM. THE JUNCTION OF THE LINES OF DIVISION DETERMINE THE POINTS OF THE FIGURE.
29 FROM THE UPPER ANGLES OF THE SQUARES OF DIVISION TRACE STARS SIX-POINTED, ROTATING ALTERNATELY AS SHOWN IN DIAGRAM. THE JUNCTION OF THE LINES OF DIVISION DETERMINE THE POINTS OF THE FIGURE.
29 FROM THE UPPER ANGLES OF THE SQUARES OF DIVISION TRACE STARS SIX-POINTED, ROTATING ALTERNATELY AS SHOWN IN DIAGRAM. THE JUNCTION OF THE LINES OF DIVISION DETERMINE THE POINTS OF THE FIGURE.
30 ALTERNATING DISPOSITIONS OF SIX-POINTED STAR, WITH EXTERIOR ROSETTE OF SIX HEXAGONS. THE ANGLES OF THE SQUARE BEING DIVIDED INTO THREE EQUAL PARTS BY A FIRST AND SECOND RADIUS, A CIRCUMFERENCE IS MADE, WITHIN WHICH IS INSCRIBED THE STAR OF SIX POINTS. THE REST FOLLOWS.
30 ALTERNATING DISPOSITIONS OF SIX-POINTED STAR, WITH EXTERIOR ROSETTE OF SIX HEXAGONS. THE ANGLES OF THE SQUARE BEING DIVIDED INTO THREE EQUAL PARTS BY A FIRST AND SECOND RADIUS, A CIRCUMFERENCE IS MADE, WITHIN WHICH IS INSCRIBED THE STAR OF SIX POINTS. THE REST FOLLOWS.
30 ALTERNATING DISPOSITIONS OF SIX-POINTED STAR, WITH EXTERIOR ROSETTE OF SIX HEXAGONS. THE ANGLES OF THE SQUARE BEING DIVIDED INTO THREE EQUAL PARTS BY A FIRST AND SECOND RADIUS, A CIRCUMFERENCE IS MADE, WITHIN WHICH IS INSCRIBED THE STAR OF SIX POINTS. THE REST FOLLOWS.
31 SUBJECT ANALOGOUS TO NUMBERS 28, 29.
31 SUBJECT ANALOGOUS TO NUMBERS 28, 29.
31 SUBJECT ANALOGOUS TO NUMBERS 28, 29.
32 ALTERNATING DISPOSITION OF SIX-POINTED STAR, SURROUNDED BY SIX HEXAGONS. SUB-DIVIDE THE ANGLES OF THE SQUARE INTO THREE EQUAL PARTS. THE CONJUNCTION OF THE RADII WITH THEM, AND WITH THE MEDIALS OF THE SQUARE, MAKE THE FIGURE. IN THE CENTRE OF THE SQUARE A LINEAL SUBJECT, ALTERNATING.
32 ALTERNATING DISPOSITION OF SIX-POINTED STAR, SURROUNDED BY SIX HEXAGONS. SUB-DIVIDE THE ANGLES OF THE SQUARE INTO THREE EQUAL PARTS. THE CONJUNCTION OF THE RADII WITH THEM, AND WITH THE MEDIALS OF THE SQUARE, MAKE THE FIGURE. IN THE CENTRE OF THE SQUARE A LINEAL SUBJECT, ALTERNATING.
32 ALTERNATING DISPOSITION OF SIX-POINTED STAR, SURROUNDED BY SIX HEXAGONS. SUB-DIVIDE THE ANGLES OF THE SQUARE INTO THREE EQUAL PARTS. THE CONJUNCTION OF THE RADII WITH THEM, AND WITH THE MEDIALS OF THE SQUARE, MAKE THE FIGURE. IN THE CENTRE OF THE SQUARE A LINEAL SUBJECT, ALTERNATING.
PLATE LXXV.Capital of Columns.
PLATE LXXV.
PLATE LXXV.
Capital of Columns.
Capital of Columns.
33 HEXAGONAL AND OCTAGONAL DISTRIBUTION.
33 HEXAGONAL AND OCTAGONAL DISTRIBUTION.
33 HEXAGONAL AND OCTAGONAL DISTRIBUTION.
34 HEXAGONAL DISTRIBUTION. PENTAGONAL STARS AND HEXAGONS.
34 HEXAGONAL DISTRIBUTION. PENTAGONAL STARS AND HEXAGONS.
34 HEXAGONAL DISTRIBUTION. PENTAGONAL STARS AND HEXAGONS.
35 HEXAGONAL STAR INSCRIBING A SECOND SIX-POINTED STAR. THE INTERSECTIONS GIVE LOZENGES AND HEXAGONS.
35 HEXAGONAL STAR INSCRIBING A SECOND SIX-POINTED STAR. THE INTERSECTIONS GIVE LOZENGES AND HEXAGONS.
35 HEXAGONAL STAR INSCRIBING A SECOND SIX-POINTED STAR. THE INTERSECTIONS GIVE LOZENGES AND HEXAGONS.
36 SQUARE PLAN. DIVIDE OPPOSITE LINES INTO THREE, AND BY THE CENTRE OF THE SQUARE CARRY TWO CROSS LINES.
36 SQUARE PLAN. DIVIDE OPPOSITE LINES INTO THREE, AND BY THE CENTRE OF THE SQUARE CARRY TWO CROSS LINES.
36 SQUARE PLAN. DIVIDE OPPOSITE LINES INTO THREE, AND BY THE CENTRE OF THE SQUARE CARRY TWO CROSS LINES.
PLATE LXXVI.Capital of Columns.
PLATE LXXVI.
PLATE LXXVI.
Capital of Columns.
Capital of Columns.
37 TRIANGULAR PLAN. HEXAGONAL STAR AND HEXAGONAL ROSETTE ENCLOSED BY REGULAR HEXAGON.
37 TRIANGULAR PLAN. HEXAGONAL STAR AND HEXAGONAL ROSETTE ENCLOSED BY REGULAR HEXAGON.
37 TRIANGULAR PLAN. HEXAGONAL STAR AND HEXAGONAL ROSETTE ENCLOSED BY REGULAR HEXAGON.
38 HEXAGONAL, SQUARE, AND TRIANGULAR PLAN. HEXAGONAL DISTRIBUTION. DODECAGON STAR IN CENTRES.
38 HEXAGONAL, SQUARE, AND TRIANGULAR PLAN. HEXAGONAL DISTRIBUTION. DODECAGON STAR IN CENTRES.
38 HEXAGONAL, SQUARE, AND TRIANGULAR PLAN. HEXAGONAL DISTRIBUTION. DODECAGON STAR IN CENTRES.
39 TRIANGULAR PLAN. HEXAGONAL DISPOSITION.
39 TRIANGULAR PLAN. HEXAGONAL DISPOSITION.
39 TRIANGULAR PLAN. HEXAGONAL DISPOSITION.
40 TRIANGULAR PLAN. HEXAGONS AND TRIANGLES; INTERSECTED HEXAGONS; HEXAGONAL CURVILINEAR ROSETTES.
40 TRIANGULAR PLAN. HEXAGONS AND TRIANGLES; INTERSECTED HEXAGONS; HEXAGONAL CURVILINEAR ROSETTES.
40 TRIANGULAR PLAN. HEXAGONS AND TRIANGLES; INTERSECTED HEXAGONS; HEXAGONAL CURVILINEAR ROSETTES.
PLATE LXXVII.SEVILLE.Socle of the Entrance Arch to the Antechapel.
PLATE LXXVII.
PLATE LXXVII.
SEVILLE.Socle of the Entrance Arch to the Antechapel.
SEVILLE.
Socle of the Entrance Arch to the Antechapel.
41 TRIANGULAR PLAN. DODECAGONAL STARS; HEXAGONAL STARS ENCLOSED BY REGULAR HEXAGON.
41 TRIANGULAR PLAN. DODECAGONAL STARS; HEXAGONAL STARS ENCLOSED BY REGULAR HEXAGON.
41 TRIANGULAR PLAN. DODECAGONAL STARS; HEXAGONAL STARS ENCLOSED BY REGULAR HEXAGON.
42 SQUARE PLAN. FROM THE CENTRE DESCRIBE A CIRCUMFERENCE; DIVIDE CIRCUMFERENCE INTO EIGHT EQUAL PARTS, STARRED OCTAGONS ARE THUS OBTAINED, THE PROLONGED SIDES OF WHICH DETERMINE QUADRILATERAL STARS.
42 SQUARE PLAN. FROM THE CENTRE DESCRIBE A CIRCUMFERENCE; DIVIDE CIRCUMFERENCE INTO EIGHT EQUAL PARTS, STARRED OCTAGONS ARE THUS OBTAINED, THE PROLONGED SIDES OF WHICH DETERMINE QUADRILATERAL STARS.
42 SQUARE PLAN. FROM THE CENTRE DESCRIBE A CIRCUMFERENCE; DIVIDE CIRCUMFERENCE INTO EIGHT EQUAL PARTS, STARRED OCTAGONS ARE THUS OBTAINED, THE PROLONGED SIDES OF WHICH DETERMINE QUADRILATERAL STARS.
43 CURVILINEAL TRANSFORMATION OF FIGURE 42.
43 CURVILINEAL TRANSFORMATION OF FIGURE 42.
43 CURVILINEAL TRANSFORMATION OF FIGURE 42.
44 OCTAGONAL STARS; INTERSECTING LOZENGES, SQUARES, TRILATERALS.
44 OCTAGONAL STARS; INTERSECTING LOZENGES, SQUARES, TRILATERALS.
44 OCTAGONAL STARS; INTERSECTING LOZENGES, SQUARES, TRILATERALS.
45 DIVIDE THE SQUARE INTO FOUR EQUAL PARTS. THE MEETING OF THE FIRST LINE WITH THE MEDIAN OF THE SQUARE GIVES THE RADIUS OF A CIRCUMFERENCE. THE DIAGONAL LINES GIVE AN OCTAGONAL STAR.
45 DIVIDE THE SQUARE INTO FOUR EQUAL PARTS. THE MEETING OF THE FIRST LINE WITH THE MEDIAN OF THE SQUARE GIVES THE RADIUS OF A CIRCUMFERENCE. THE DIAGONAL LINES GIVE AN OCTAGONAL STAR.
45 DIVIDE THE SQUARE INTO FOUR EQUAL PARTS. THE MEETING OF THE FIRST LINE WITH THE MEDIAN OF THE SQUARE GIVES THE RADIUS OF A CIRCUMFERENCE. THE DIAGONAL LINES GIVE AN OCTAGONAL STAR.
46 SQUARE PLAN. FROM THE CENTRE A CIRCUMFERENCE, AND BY DIAGONALS A STARRED OCTAGON.
46 SQUARE PLAN. FROM THE CENTRE A CIRCUMFERENCE, AND BY DIAGONALS A STARRED OCTAGON.
46 SQUARE PLAN. FROM THE CENTRE A CIRCUMFERENCE, AND BY DIAGONALS A STARRED OCTAGON.
47 CURVILINEAR AND UNDULATING OCTAGONS AND PENTAGONS.
47 CURVILINEAR AND UNDULATING OCTAGONS AND PENTAGONS.
47 CURVILINEAR AND UNDULATING OCTAGONS AND PENTAGONS.
48 DISTRIBUTION OF STARRED AND REGULAR OCTAGONS, WITH STARRED PENTAGONS.
48 DISTRIBUTION OF STARRED AND REGULAR OCTAGONS, WITH STARRED PENTAGONS.
48 DISTRIBUTION OF STARRED AND REGULAR OCTAGONS, WITH STARRED PENTAGONS.
49 OCTAGONAL ROSETTES FOLLOWING ISOCELES TRIANGLE WITH PENTAGONAL STARS AND REGULAR OCTAGONS INTERCALARY.
49 OCTAGONAL ROSETTES FOLLOWING ISOCELES TRIANGLE WITH PENTAGONAL STARS AND REGULAR OCTAGONS INTERCALARY.
49 OCTAGONAL ROSETTES FOLLOWING ISOCELES TRIANGLE WITH PENTAGONAL STARS AND REGULAR OCTAGONS INTERCALARY.
50 DESCRIBE CIRCUMFERENCES AS SHOWN IN PLAN, IN WHICH ARE CARRIED DIAGONALS. FROM THE CENTRE INSCRIBE A SQUARE. THE INTERSECTIONS OF THE LINES OF THE STAR COMPLETE THE FIGURE.
50 DESCRIBE CIRCUMFERENCES AS SHOWN IN PLAN, IN WHICH ARE CARRIED DIAGONALS. FROM THE CENTRE INSCRIBE A SQUARE. THE INTERSECTIONS OF THE LINES OF THE STAR COMPLETE THE FIGURE.
50 DESCRIBE CIRCUMFERENCES AS SHOWN IN PLAN, IN WHICH ARE CARRIED DIAGONALS. FROM THE CENTRE INSCRIBE A SQUARE. THE INTERSECTIONS OF THE LINES OF THE STAR COMPLETE THE FIGURE.
51 DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND DIVIDE INTO SIXTEEN EQUAL PARTS. BY THE ANGLES OF DIVISION DESCRIBE A PENTAGON STARRED. BY THE CENTRE OF THE SQUARE AN OCTAGON STARRED, FROM WHICH EMANATES AN OCTAGON ROSETTE. HEXAGONS REGULAR AND STARRED.
51 DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND DIVIDE INTO SIXTEEN EQUAL PARTS. BY THE ANGLES OF DIVISION DESCRIBE A PENTAGON STARRED. BY THE CENTRE OF THE SQUARE AN OCTAGON STARRED, FROM WHICH EMANATES AN OCTAGON ROSETTE. HEXAGONS REGULAR AND STARRED.
51 DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND DIVIDE INTO SIXTEEN EQUAL PARTS. BY THE ANGLES OF DIVISION DESCRIBE A PENTAGON STARRED. BY THE CENTRE OF THE SQUARE AN OCTAGON STARRED, FROM WHICH EMANATES AN OCTAGON ROSETTE. HEXAGONS REGULAR AND STARRED.
52 DIVIDE TANGENT CIRCUMFERENCES INTO SIXTEEN EQUAL PARTS. SIMILAR DISPOSITION TO FIGURE NUMBER 49, BUT WITH DIFFERENT TREATMENT.
52 DIVIDE TANGENT CIRCUMFERENCES INTO SIXTEEN EQUAL PARTS. SIMILAR DISPOSITION TO FIGURE NUMBER 49, BUT WITH DIFFERENT TREATMENT.
52 DIVIDE TANGENT CIRCUMFERENCES INTO SIXTEEN EQUAL PARTS. SIMILAR DISPOSITION TO FIGURE NUMBER 49, BUT WITH DIFFERENT TREATMENT.
53 DESCRIBE CIRCUMFERENCES AS IN PLAN; INSCRIBE THEREIN BY THE DIAGONALS A STAR, THE SIDES OF WHICH, PROLONGED AND INTERSECTED BY THE OCTAGONAL STAR, DETERMINE THE ROSETTES.
53 DESCRIBE CIRCUMFERENCES AS IN PLAN; INSCRIBE THEREIN BY THE DIAGONALS A STAR, THE SIDES OF WHICH, PROLONGED AND INTERSECTED BY THE OCTAGONAL STAR, DETERMINE THE ROSETTES.
53 DESCRIBE CIRCUMFERENCES AS IN PLAN; INSCRIBE THEREIN BY THE DIAGONALS A STAR, THE SIDES OF WHICH, PROLONGED AND INTERSECTED BY THE OCTAGONAL STAR, DETERMINE THE ROSETTES.
54 DIVIDE CIRCUMFERENCES AS IN PLAN INTO THIRTY-TWO EQUAL PARTS. FROM THE CENTRE OF THE SQUARE INSCRIBE A STAR OF SIXTEEN POINTS, THE PROLONGATION OF ITS LINES FORMING THE ROSETTE OF SIXTEEN.
54 DIVIDE CIRCUMFERENCES AS IN PLAN INTO THIRTY-TWO EQUAL PARTS. FROM THE CENTRE OF THE SQUARE INSCRIBE A STAR OF SIXTEEN POINTS, THE PROLONGATION OF ITS LINES FORMING THE ROSETTE OF SIXTEEN.
54 DIVIDE CIRCUMFERENCES AS IN PLAN INTO THIRTY-TWO EQUAL PARTS. FROM THE CENTRE OF THE SQUARE INSCRIBE A STAR OF SIXTEEN POINTS, THE PROLONGATION OF ITS LINES FORMING THE ROSETTE OF SIXTEEN.
55 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM THE CENTRE OF THE PLAN BY RADIATING LINES INSCRIBE A STARRED OCTAGON; THE PROLONGATION AND MEETING OF ITS LINES IN REPETITION COMPLETE THE FIGURE.
55 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM THE CENTRE OF THE PLAN BY RADIATING LINES INSCRIBE A STARRED OCTAGON; THE PROLONGATION AND MEETING OF ITS LINES IN REPETITION COMPLETE THE FIGURE.
55 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM THE CENTRE OF THE PLAN BY RADIATING LINES INSCRIBE A STARRED OCTAGON; THE PROLONGATION AND MEETING OF ITS LINES IN REPETITION COMPLETE THE FIGURE.
56 DESCRIBE CIRCUMFERENCES AS IN PLAN. IN THE CENTRE OF FOUR EQUAL SQUARES TRACE AN OCTAGONAL ROSETTE, AFTER HAVING TAKEN IN THE LARGE ROSETTE OF SIXTEEN POINTS, WHICH LENDS ITS LINES TO THE FORMATION OF EIGHT SURROUNDING CRUCIFORM FIGURES.
56 DESCRIBE CIRCUMFERENCES AS IN PLAN. IN THE CENTRE OF FOUR EQUAL SQUARES TRACE AN OCTAGONAL ROSETTE, AFTER HAVING TAKEN IN THE LARGE ROSETTE OF SIXTEEN POINTS, WHICH LENDS ITS LINES TO THE FORMATION OF EIGHT SURROUNDING CRUCIFORM FIGURES.
56 DESCRIBE CIRCUMFERENCES AS IN PLAN. IN THE CENTRE OF FOUR EQUAL SQUARES TRACE AN OCTAGONAL ROSETTE, AFTER HAVING TAKEN IN THE LARGE ROSETTE OF SIXTEEN POINTS, WHICH LENDS ITS LINES TO THE FORMATION OF EIGHT SURROUNDING CRUCIFORM FIGURES.
PLATE LXXVIII.SEVILLE.Socle of the Entrance Arch to the Chapel.
PLATE LXXVIII.
PLATE LXXVIII.
SEVILLE.Socle of the Entrance Arch to the Chapel.
SEVILLE.
Socle of the Entrance Arch to the Chapel.
57 FROM THE CENTRE OF FOUR EQUAL SQUARES DESCRIBE CIRCUMFERENCES AS IN PLAN. INSCRIBE THEREIN THE STARRED OCTAGON, THE PROLONGED SIDES OF WHICH DETERMINE THE QUADRILATERAL ROSETTE.
57 FROM THE CENTRE OF FOUR EQUAL SQUARES DESCRIBE CIRCUMFERENCES AS IN PLAN. INSCRIBE THEREIN THE STARRED OCTAGON, THE PROLONGED SIDES OF WHICH DETERMINE THE QUADRILATERAL ROSETTE.
57 FROM THE CENTRE OF FOUR EQUAL SQUARES DESCRIBE CIRCUMFERENCES AS IN PLAN. INSCRIBE THEREIN THE STARRED OCTAGON, THE PROLONGED SIDES OF WHICH DETERMINE THE QUADRILATERAL ROSETTE.
58 THE SQUARE OF DISTRIBUTION IS A RECTANGLE LENGTHENED, FROM WHICH OCTAGONS ARE TRACED. TERNARY STARS, YET WITH SIX POINTS, AND PAIRED STARS WITH FIVE POINTS FILL IN THE RECTANGLE.
58 THE SQUARE OF DISTRIBUTION IS A RECTANGLE LENGTHENED, FROM WHICH OCTAGONS ARE TRACED. TERNARY STARS, YET WITH SIX POINTS, AND PAIRED STARS WITH FIVE POINTS FILL IN THE RECTANGLE.
58 THE SQUARE OF DISTRIBUTION IS A RECTANGLE LENGTHENED, FROM WHICH OCTAGONS ARE TRACED. TERNARY STARS, YET WITH SIX POINTS, AND PAIRED STARS WITH FIVE POINTS FILL IN THE RECTANGLE.
59 DESIGN OF FOUR FIGURES. AN OCTAGON, A HEXAGON PAIRED, A STARRED PENTAGON, AND A STARRED HEXAGON.
59 DESIGN OF FOUR FIGURES. AN OCTAGON, A HEXAGON PAIRED, A STARRED PENTAGON, AND A STARRED HEXAGON.
59 DESIGN OF FOUR FIGURES. AN OCTAGON, A HEXAGON PAIRED, A STARRED PENTAGON, AND A STARRED HEXAGON.
60 ANALOGOUS TO NUMBER 58, WITH CLOSER DEVELOPMENT.
60 ANALOGOUS TO NUMBER 58, WITH CLOSER DEVELOPMENT.
60 ANALOGOUS TO NUMBER 58, WITH CLOSER DEVELOPMENT.
61 A STARRED OCTAGON, THE PROLONGED LINES OF WHICH FORM AN OCTAGONAL ROSETTE, SEPARATED BY A REGULAR HEXAGON.
61 A STARRED OCTAGON, THE PROLONGED LINES OF WHICH FORM AN OCTAGONAL ROSETTE, SEPARATED BY A REGULAR HEXAGON.
61 A STARRED OCTAGON, THE PROLONGED LINES OF WHICH FORM AN OCTAGONAL ROSETTE, SEPARATED BY A REGULAR HEXAGON.
62 DIVIDE CIRCUMFERENCES AS IN PLAN INTO SIXTEEN EQUAL PARTS. THE DIAGONALS WILL GIVE A STAR OF SIXTEEN POINTS, THE LINES OF WHICH, EXTENDED, FORM A ROSETTE OF SIXTEEN POINTS WITHIN A SQUARE. THE ANGLES OF THE SQUARE INTERSECT REGULAR HEXAGONS.
62 DIVIDE CIRCUMFERENCES AS IN PLAN INTO SIXTEEN EQUAL PARTS. THE DIAGONALS WILL GIVE A STAR OF SIXTEEN POINTS, THE LINES OF WHICH, EXTENDED, FORM A ROSETTE OF SIXTEEN POINTS WITHIN A SQUARE. THE ANGLES OF THE SQUARE INTERSECT REGULAR HEXAGONS.
62 DIVIDE CIRCUMFERENCES AS IN PLAN INTO SIXTEEN EQUAL PARTS. THE DIAGONALS WILL GIVE A STAR OF SIXTEEN POINTS, THE LINES OF WHICH, EXTENDED, FORM A ROSETTE OF SIXTEEN POINTS WITHIN A SQUARE. THE ANGLES OF THE SQUARE INTERSECT REGULAR HEXAGONS.
63 DESCRIBE THE CIRCUMFERENCES AS IN THE PLAN. INSCRIBE FROM A CENTRE A STARRED OCTAGON ENCLOSED WITHIN A REGULAR OCTAGON, A STARRED HEXAGON WITHIN ALTERNATE HEXAGONS, AND A CRUCIFORM FIGURE WITHIN A FOUR-POINTED STAR.
63 DESCRIBE THE CIRCUMFERENCES AS IN THE PLAN. INSCRIBE FROM A CENTRE A STARRED OCTAGON ENCLOSED WITHIN A REGULAR OCTAGON, A STARRED HEXAGON WITHIN ALTERNATE HEXAGONS, AND A CRUCIFORM FIGURE WITHIN A FOUR-POINTED STAR.
63 DESCRIBE THE CIRCUMFERENCES AS IN THE PLAN. INSCRIBE FROM A CENTRE A STARRED OCTAGON ENCLOSED WITHIN A REGULAR OCTAGON, A STARRED HEXAGON WITHIN ALTERNATE HEXAGONS, AND A CRUCIFORM FIGURE WITHIN A FOUR-POINTED STAR.
63’ DESCRIBE CIRCUMFERENCES AS IN THE PLAN, AND FROM A CENTRE INSCRIBE A STARRED OCTAGON; FROM THE EXTENDED LINES IS FORMED A CRUCIFORM FIGURE. FROM OTHER CENTRES INSCRIBE STARRED AND REGULAR HEXAGONS.
63’ DESCRIBE CIRCUMFERENCES AS IN THE PLAN, AND FROM A CENTRE INSCRIBE A STARRED OCTAGON; FROM THE EXTENDED LINES IS FORMED A CRUCIFORM FIGURE. FROM OTHER CENTRES INSCRIBE STARRED AND REGULAR HEXAGONS.
63’ DESCRIBE CIRCUMFERENCES AS IN THE PLAN, AND FROM A CENTRE INSCRIBE A STARRED OCTAGON; FROM THE EXTENDED LINES IS FORMED A CRUCIFORM FIGURE. FROM OTHER CENTRES INSCRIBE STARRED AND REGULAR HEXAGONS.
PLATE LXXIX. SEVILLE.Detail of the Tiles of the Altar.
PLATE LXXIX. SEVILLE.
PLATE LXXIX. SEVILLE.
Detail of the Tiles of the Altar.
Detail of the Tiles of the Altar.
64 DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED OCTAGON OF WHICH THE SIDES ARE PROLONGED. BY THESE PROLONGATIONS, AND BY OCTAGONAL FIGURES IN PAIRS, THE TRACING IS COMPLETE.
64 DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED OCTAGON OF WHICH THE SIDES ARE PROLONGED. BY THESE PROLONGATIONS, AND BY OCTAGONAL FIGURES IN PAIRS, THE TRACING IS COMPLETE.
64 DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED OCTAGON OF WHICH THE SIDES ARE PROLONGED. BY THESE PROLONGATIONS, AND BY OCTAGONAL FIGURES IN PAIRS, THE TRACING IS COMPLETE.
65 DIVIDE CIRCUMFERENCES AS IN THE PLAN INTO TWENTY-FOUR EQUAL PARTS, AND INSCRIBE FROM A CENTRE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH DETERMINE THE INTERSECTING LINES OF THE ROSETTE.
65 DIVIDE CIRCUMFERENCES AS IN THE PLAN INTO TWENTY-FOUR EQUAL PARTS, AND INSCRIBE FROM A CENTRE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH DETERMINE THE INTERSECTING LINES OF THE ROSETTE.
65 DIVIDE CIRCUMFERENCES AS IN THE PLAN INTO TWENTY-FOUR EQUAL PARTS, AND INSCRIBE FROM A CENTRE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH DETERMINE THE INTERSECTING LINES OF THE ROSETTE.
66 DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED DODECAGON ANALOGOUS TO NUMBER 65.
66 DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED DODECAGON ANALOGOUS TO NUMBER 65.
66 DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED DODECAGON ANALOGOUS TO NUMBER 65.
67 TRIANGULAR PLAN. DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH FORM THE UNEQUAL LIMBS OF A ROSETTE, AND A CRUCIFORM FIGURE WITHIN A SQUARE.
67 TRIANGULAR PLAN. DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH FORM THE UNEQUAL LIMBS OF A ROSETTE, AND A CRUCIFORM FIGURE WITHIN A SQUARE.
67 TRIANGULAR PLAN. DESCRIBE CIRCUMFERENCES AS IN THE PLAN. FROM A CENTRE INSCRIBE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH FORM THE UNEQUAL LIMBS OF A ROSETTE, AND A CRUCIFORM FIGURE WITHIN A SQUARE.
PLATE LXXX.SEVILLE.Socle in the Interior of the Chapel.
PLATE LXXX.SEVILLE.
PLATE LXXX.SEVILLE.
Socle in the Interior of the Chapel.
Socle in the Interior of the Chapel.
68 DIVIDE AS IN THE PLAN. INSCRIBE A STARRED DODECAGON, THE SIDES OF WHICH PROLONGED INSCRIBE THE LINES OF THE ROSETTE. FOUR ROSETTES PENETRATE EACH OTHER, AND ARE EACH INVADED BY A STAR HAVING TRIANGULAR WEBS.
68 DIVIDE AS IN THE PLAN. INSCRIBE A STARRED DODECAGON, THE SIDES OF WHICH PROLONGED INSCRIBE THE LINES OF THE ROSETTE. FOUR ROSETTES PENETRATE EACH OTHER, AND ARE EACH INVADED BY A STAR HAVING TRIANGULAR WEBS.
68 DIVIDE AS IN THE PLAN. INSCRIBE A STARRED DODECAGON, THE SIDES OF WHICH PROLONGED INSCRIBE THE LINES OF THE ROSETTE. FOUR ROSETTES PENETRATE EACH OTHER, AND ARE EACH INVADED BY A STAR HAVING TRIANGULAR WEBS.
69 FROM A CENTRE AS IN THE PLAN DESCRIBE A STARRED DODECAGON, THE SIDES OF WHICH PROLONGED FORM THE LINES OF THE ROSETTE. THE ROSETTE, BY EXTENDING LINES, IS SURROUNDED BY TWELVE HEXAGONS.
69 FROM A CENTRE AS IN THE PLAN DESCRIBE A STARRED DODECAGON, THE SIDES OF WHICH PROLONGED FORM THE LINES OF THE ROSETTE. THE ROSETTE, BY EXTENDING LINES, IS SURROUNDED BY TWELVE HEXAGONS.
69 FROM A CENTRE AS IN THE PLAN DESCRIBE A STARRED DODECAGON, THE SIDES OF WHICH PROLONGED FORM THE LINES OF THE ROSETTE. THE ROSETTE, BY EXTENDING LINES, IS SURROUNDED BY TWELVE HEXAGONS.
70 DIVIDE AS IN THE PLAN. DESIGN ANALOGOUS TO NUMBER 69. BY EXTENSION OF LINES OF THE ROSETTE HEXAGONS ARE GROUPED.
70 DIVIDE AS IN THE PLAN. DESIGN ANALOGOUS TO NUMBER 69. BY EXTENSION OF LINES OF THE ROSETTE HEXAGONS ARE GROUPED.
70 DIVIDE AS IN THE PLAN. DESIGN ANALOGOUS TO NUMBER 69. BY EXTENSION OF LINES OF THE ROSETTE HEXAGONS ARE GROUPED.
71 DIVIDE AS IN PLAN. DESIGN ANALOGOUS TO NUMBER 70.
71 DIVIDE AS IN PLAN. DESIGN ANALOGOUS TO NUMBER 70.
71 DIVIDE AS IN PLAN. DESIGN ANALOGOUS TO NUMBER 70.
PLATE LXXXI.SEVILLE.Socle in the Interior of the Chapel.
PLATE LXXXI.SEVILLE.
PLATE LXXXI.SEVILLE.
Socle in the Interior of the Chapel.
Socle in the Interior of the Chapel.
72 DIVIDE AS IN PLAN. THE CIRCUMFERENCES DIVIDED INTO TWENTY-FOUR EQUAL PARTS DETERMINE THE ROSETTE, THE EXTENDED LINES OF WHICH DESCRIBE THE STARRED PENTAGON.
72 DIVIDE AS IN PLAN. THE CIRCUMFERENCES DIVIDED INTO TWENTY-FOUR EQUAL PARTS DETERMINE THE ROSETTE, THE EXTENDED LINES OF WHICH DESCRIBE THE STARRED PENTAGON.
72 DIVIDE AS IN PLAN. THE CIRCUMFERENCES DIVIDED INTO TWENTY-FOUR EQUAL PARTS DETERMINE THE ROSETTE, THE EXTENDED LINES OF WHICH DESCRIBE THE STARRED PENTAGON.
73 CURVILINEAR TRANSFORMATION OF NUMBER 72 BY THE SUBSTITUTION OF ARCS FOR RECTILINEAL FEATURES.
73 CURVILINEAR TRANSFORMATION OF NUMBER 72 BY THE SUBSTITUTION OF ARCS FOR RECTILINEAL FEATURES.
73 CURVILINEAR TRANSFORMATION OF NUMBER 72 BY THE SUBSTITUTION OF ARCS FOR RECTILINEAL FEATURES.
74 DIVIDE THE CIRCUMFERENCES INTO TWENTY-FOUR EQUAL PARTS. INSCRIBE THE STARRED DODECAGON, THE EXTENDED LINES OF WHICH DESCRIBE THE ROSETTE.
74 DIVIDE THE CIRCUMFERENCES INTO TWENTY-FOUR EQUAL PARTS. INSCRIBE THE STARRED DODECAGON, THE EXTENDED LINES OF WHICH DESCRIBE THE ROSETTE.
74 DIVIDE THE CIRCUMFERENCES INTO TWENTY-FOUR EQUAL PARTS. INSCRIBE THE STARRED DODECAGON, THE EXTENDED LINES OF WHICH DESCRIBE THE ROSETTE.
75 DESCRIBE THREE CONCENTRIC CIRCUMFERENCES AS IN PLAN. THE ROSETTE BECOMES ENTIRE BY LINES EXTENDED FROM THE STARRED DODECAGON. CROSSED LINES FROM THE ROSETTE DETERMINE THE SQUARE.
75 DESCRIBE THREE CONCENTRIC CIRCUMFERENCES AS IN PLAN. THE ROSETTE BECOMES ENTIRE BY LINES EXTENDED FROM THE STARRED DODECAGON. CROSSED LINES FROM THE ROSETTE DETERMINE THE SQUARE.
75 DESCRIBE THREE CONCENTRIC CIRCUMFERENCES AS IN PLAN. THE ROSETTE BECOMES ENTIRE BY LINES EXTENDED FROM THE STARRED DODECAGON. CROSSED LINES FROM THE ROSETTE DETERMINE THE SQUARE.
76 TRANSFORMATION OF NUMBER 75. ROSETTE IDENTICAL. IN THE CENTRE OF A SQUARE DESCRIBE AN OCTAGON, THE PROLONGED SIDES OF WHICH INVADE THE SQUARE WHICH FIGURES AROUND THE ROSETTE.
76 TRANSFORMATION OF NUMBER 75. ROSETTE IDENTICAL. IN THE CENTRE OF A SQUARE DESCRIBE AN OCTAGON, THE PROLONGED SIDES OF WHICH INVADE THE SQUARE WHICH FIGURES AROUND THE ROSETTE.
76 TRANSFORMATION OF NUMBER 75. ROSETTE IDENTICAL. IN THE CENTRE OF A SQUARE DESCRIBE AN OCTAGON, THE PROLONGED SIDES OF WHICH INVADE THE SQUARE WHICH FIGURES AROUND THE ROSETTE.
77 DIVIDE AS IN PLAN. FROM A CENTRE TRACE A STARRED HEXAGON, THE EXTENDED LINES OF WHICH CUT THE PROLONGED LINES OF THE ROSETTE.
77 DIVIDE AS IN PLAN. FROM A CENTRE TRACE A STARRED HEXAGON, THE EXTENDED LINES OF WHICH CUT THE PROLONGED LINES OF THE ROSETTE.
77 DIVIDE AS IN PLAN. FROM A CENTRE TRACE A STARRED HEXAGON, THE EXTENDED LINES OF WHICH CUT THE PROLONGED LINES OF THE ROSETTE.
78 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM A CENTRE TRACE A STARRED DODECAGON. THUS ARE DETERMINED ROSETTES PLACED END TO END, EACH IN A REGULAR HEXAGON.
78 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM A CENTRE TRACE A STARRED DODECAGON. THUS ARE DETERMINED ROSETTES PLACED END TO END, EACH IN A REGULAR HEXAGON.
78 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM A CENTRE TRACE A STARRED DODECAGON. THUS ARE DETERMINED ROSETTES PLACED END TO END, EACH IN A REGULAR HEXAGON.
79 DESCRIBE CIRCUMFERENCES AS IN PLAN. THE ROSETTE IS DETERMINED BY THE STARRED DODECAGON. THIS DESIGN IS MOST DIVERSIFIED, AND CAPABLE OF EXHAUSTIVE FORMS OF ORNAMENT.
79 DESCRIBE CIRCUMFERENCES AS IN PLAN. THE ROSETTE IS DETERMINED BY THE STARRED DODECAGON. THIS DESIGN IS MOST DIVERSIFIED, AND CAPABLE OF EXHAUSTIVE FORMS OF ORNAMENT.
79 DESCRIBE CIRCUMFERENCES AS IN PLAN. THE ROSETTE IS DETERMINED BY THE STARRED DODECAGON. THIS DESIGN IS MOST DIVERSIFIED, AND CAPABLE OF EXHAUSTIVE FORMS OF ORNAMENT.
80 FROM A CENTRE DRAW A STARRED DODECAGON, WHICH DETERMINES THE ROSETTE, THE CROSSED LINES AT THE POINTS OF THE ROSETTE DETERMINING THE MANY REGULAR HEXAGONS ANDtricèles.
80 FROM A CENTRE DRAW A STARRED DODECAGON, WHICH DETERMINES THE ROSETTE, THE CROSSED LINES AT THE POINTS OF THE ROSETTE DETERMINING THE MANY REGULAR HEXAGONS ANDtricèles.
80 FROM A CENTRE DRAW A STARRED DODECAGON, WHICH DETERMINES THE ROSETTE, THE CROSSED LINES AT THE POINTS OF THE ROSETTE DETERMINING THE MANY REGULAR HEXAGONS ANDtricèles.
81 HEXAGONAL DISTRIBUTION. FROM A CENTRE DRAW A STARRED DODECAGON DETERMINING THE ROSETTE, THE ALTERNATELY CROSSED LINES OF WHICH FORM Atricèle, WITHIN A SECOND CIRCUMFERENCE, AS IN THE PLAN, DRAW A STARRED HEXAGON, THE EXTENDED LINES FORMING SIX REGULAR HEXAGONS.
81 HEXAGONAL DISTRIBUTION. FROM A CENTRE DRAW A STARRED DODECAGON DETERMINING THE ROSETTE, THE ALTERNATELY CROSSED LINES OF WHICH FORM Atricèle, WITHIN A SECOND CIRCUMFERENCE, AS IN THE PLAN, DRAW A STARRED HEXAGON, THE EXTENDED LINES FORMING SIX REGULAR HEXAGONS.
81 HEXAGONAL DISTRIBUTION. FROM A CENTRE DRAW A STARRED DODECAGON DETERMINING THE ROSETTE, THE ALTERNATELY CROSSED LINES OF WHICH FORM Atricèle, WITHIN A SECOND CIRCUMFERENCE, AS IN THE PLAN, DRAW A STARRED HEXAGON, THE EXTENDED LINES FORMING SIX REGULAR HEXAGONS.
82 FROM A CENTRE A STARRED DODECAGON. THE LINES EXTENDED FORM AN OUTER STARRED DODECAGON, AND BY CROSSING DESCRIBES A STARRED HEXAGON AND A LOZENGE, WITHIN WHICH IS A CRUCIFORM FIGURE.
82 FROM A CENTRE A STARRED DODECAGON. THE LINES EXTENDED FORM AN OUTER STARRED DODECAGON, AND BY CROSSING DESCRIBES A STARRED HEXAGON AND A LOZENGE, WITHIN WHICH IS A CRUCIFORM FIGURE.
82 FROM A CENTRE A STARRED DODECAGON. THE LINES EXTENDED FORM AN OUTER STARRED DODECAGON, AND BY CROSSING DESCRIBES A STARRED HEXAGON AND A LOZENGE, WITHIN WHICH IS A CRUCIFORM FIGURE.
82’ THE RADIUS OF THE CIRCUMFERENCE IS EQUAL TO A THIRD OF THE HEIGHT OF THE TRIANGLE, AND THE SQUARE MAKES A STAR OF FOUR POINTS AT EACH ANGLE.
82’ THE RADIUS OF THE CIRCUMFERENCE IS EQUAL TO A THIRD OF THE HEIGHT OF THE TRIANGLE, AND THE SQUARE MAKES A STAR OF FOUR POINTS AT EACH ANGLE.
82’ THE RADIUS OF THE CIRCUMFERENCE IS EQUAL TO A THIRD OF THE HEIGHT OF THE TRIANGLE, AND THE SQUARE MAKES A STAR OF FOUR POINTS AT EACH ANGLE.
83 DRAW CIRCUMFERENCES AND DIVIDE AS IN PLAN. THE STARRED DODECAGON DETERMINED BY INTERTWINED SQUARES. THE LINES OF THE DODECAGON, EXTENDED AT INTERVALS, FORM A STAR OF FOUR POINTS.
83 DRAW CIRCUMFERENCES AND DIVIDE AS IN PLAN. THE STARRED DODECAGON DETERMINED BY INTERTWINED SQUARES. THE LINES OF THE DODECAGON, EXTENDED AT INTERVALS, FORM A STAR OF FOUR POINTS.
83 DRAW CIRCUMFERENCES AND DIVIDE AS IN PLAN. THE STARRED DODECAGON DETERMINED BY INTERTWINED SQUARES. THE LINES OF THE DODECAGON, EXTENDED AT INTERVALS, FORM A STAR OF FOUR POINTS.
84 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM A CENTRE AN INNER AND OUTER STARRED DODECAGON, THE LINES OF WHICH EXTENDED FORM A STARRED AND REGULAR HEXAGON, INCLUDING A STARRED OCTAGON WHICH MERGES INTO A CRUCIFORM FIGURE.
84 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM A CENTRE AN INNER AND OUTER STARRED DODECAGON, THE LINES OF WHICH EXTENDED FORM A STARRED AND REGULAR HEXAGON, INCLUDING A STARRED OCTAGON WHICH MERGES INTO A CRUCIFORM FIGURE.
84 DESCRIBE CIRCUMFERENCES AS IN PLAN. FROM A CENTRE AN INNER AND OUTER STARRED DODECAGON, THE LINES OF WHICH EXTENDED FORM A STARRED AND REGULAR HEXAGON, INCLUDING A STARRED OCTAGON WHICH MERGES INTO A CRUCIFORM FIGURE.
85 TRACE THE NET-WORK OF THE DODECAGON, THE HEXAGON, AND THE FOUR-POINTED STARS. FOLLOW DIAGONALS AS IN PLAN.
85 TRACE THE NET-WORK OF THE DODECAGON, THE HEXAGON, AND THE FOUR-POINTED STARS. FOLLOW DIAGONALS AS IN PLAN.
85 TRACE THE NET-WORK OF THE DODECAGON, THE HEXAGON, AND THE FOUR-POINTED STARS. FOLLOW DIAGONALS AS IN PLAN.
86 DRAW CIRCUMFERENCES AS IN PLAN. FROM A CENTRE AN INNER AND OUTER STARRED DODECAGON. EXTENDED LINES OF THE INNER DODECAGON FORM SIX SQUARES WHICH INVADE A REGULAR DODECAGON.
86 DRAW CIRCUMFERENCES AS IN PLAN. FROM A CENTRE AN INNER AND OUTER STARRED DODECAGON. EXTENDED LINES OF THE INNER DODECAGON FORM SIX SQUARES WHICH INVADE A REGULAR DODECAGON.
86 DRAW CIRCUMFERENCES AS IN PLAN. FROM A CENTRE AN INNER AND OUTER STARRED DODECAGON. EXTENDED LINES OF THE INNER DODECAGON FORM SIX SQUARES WHICH INVADE A REGULAR DODECAGON.
PLATE LXXXII. Mosaics from Various Halls.
PLATE LXXXII. Mosaics from Various Halls.
PLATE LXXXII. Mosaics from Various Halls.
87 SQUARE PLAN. AN INNER AND OUTER STARRED DODECAGON, AND A REGULAR DODECAGON BY DIAGONALS.
87 SQUARE PLAN. AN INNER AND OUTER STARRED DODECAGON, AND A REGULAR DODECAGON BY DIAGONALS.
87 SQUARE PLAN. AN INNER AND OUTER STARRED DODECAGON, AND A REGULAR DODECAGON BY DIAGONALS.
88 SQUARE PLAN. DESCRIBE CIRCUMFERENCES AND DIVIDE THEM INTO TWENTY-FOUR EQUAL PARTS, AND DRAW THE DIAGONALS OF EIGHT IN EIGHT DIVISIONS. THE REST FOLLOWS.
88 SQUARE PLAN. DESCRIBE CIRCUMFERENCES AND DIVIDE THEM INTO TWENTY-FOUR EQUAL PARTS, AND DRAW THE DIAGONALS OF EIGHT IN EIGHT DIVISIONS. THE REST FOLLOWS.
88 SQUARE PLAN. DESCRIBE CIRCUMFERENCES AND DIVIDE THEM INTO TWENTY-FOUR EQUAL PARTS, AND DRAW THE DIAGONALS OF EIGHT IN EIGHT DIVISIONS. THE REST FOLLOWS.
89: NET-WORK OF THE DODECAGON AND THE TRIANGLE ASSEMBLED. BY EXTENDED LINES OF THE STARRED DODECAGON AN IRREGULAR POLYGON, AND A ROSETTE OF TWELVE LIMBS ARE FORMED.
89: NET-WORK OF THE DODECAGON AND THE TRIANGLE ASSEMBLED. BY EXTENDED LINES OF THE STARRED DODECAGON AN IRREGULAR POLYGON, AND A ROSETTE OF TWELVE LIMBS ARE FORMED.
89: NET-WORK OF THE DODECAGON AND THE TRIANGLE ASSEMBLED. BY EXTENDED LINES OF THE STARRED DODECAGON AN IRREGULAR POLYGON, AND A ROSETTE OF TWELVE LIMBS ARE FORMED.
90: ISOCELES PLAN. A CIRCUMFERENCE IS DRAWN IN A SQUARE AND DIVIDED INTO TWENTY-FOUR EQUAL PARTS. A CIRCUMFERENCE, CONCENTRIC TO THE FIRST, COMPLETES THE ROSETTE BY MEANS OF DIAGONALS. THE SMALL HEXAGON AND THE OCTAGON ARE TRACED.
90: ISOCELES PLAN. A CIRCUMFERENCE IS DRAWN IN A SQUARE AND DIVIDED INTO TWENTY-FOUR EQUAL PARTS. A CIRCUMFERENCE, CONCENTRIC TO THE FIRST, COMPLETES THE ROSETTE BY MEANS OF DIAGONALS. THE SMALL HEXAGON AND THE OCTAGON ARE TRACED.
90: ISOCELES PLAN. A CIRCUMFERENCE IS DRAWN IN A SQUARE AND DIVIDED INTO TWENTY-FOUR EQUAL PARTS. A CIRCUMFERENCE, CONCENTRIC TO THE FIRST, COMPLETES THE ROSETTE BY MEANS OF DIAGONALS. THE SMALL HEXAGON AND THE OCTAGON ARE TRACED.
91: DESCRIBE CIRCUMFERENCE AND DIVIDE INTO TWENTY-FOUR EQUAL PARTS. THE REGULAR DODECAGON IS DRAWN. THE INNER AND OUTER STARRED DODECAGONS ARE DESCRIBED BY RADIATING LINES.
91: DESCRIBE CIRCUMFERENCE AND DIVIDE INTO TWENTY-FOUR EQUAL PARTS. THE REGULAR DODECAGON IS DRAWN. THE INNER AND OUTER STARRED DODECAGONS ARE DESCRIBED BY RADIATING LINES.
91: DESCRIBE CIRCUMFERENCE AND DIVIDE INTO TWENTY-FOUR EQUAL PARTS. THE REGULAR DODECAGON IS DRAWN. THE INNER AND OUTER STARRED DODECAGONS ARE DESCRIBED BY RADIATING LINES.
92: NET-WORK OF THE HEXAGON AND THE TRIANGLE. THE ROSETTE OF TWELVE POINTS SPRINGING FROM A STARRED DODECAGON IS ENCLOSED BY A HEXAGON, TRELLISED, FROM WHICH THEtricèlesARE DRAWN.
92: NET-WORK OF THE HEXAGON AND THE TRIANGLE. THE ROSETTE OF TWELVE POINTS SPRINGING FROM A STARRED DODECAGON IS ENCLOSED BY A HEXAGON, TRELLISED, FROM WHICH THEtricèlesARE DRAWN.
92: NET-WORK OF THE HEXAGON AND THE TRIANGLE. THE ROSETTE OF TWELVE POINTS SPRINGING FROM A STARRED DODECAGON IS ENCLOSED BY A HEXAGON, TRELLISED, FROM WHICH THEtricèlesARE DRAWN.
93: OF SIMILAR INTENTION TO NUMBER 92, BUT AN IRREGULAR HEXAGON RECEIVES INTERCALARY LOZENGES.
93: OF SIMILAR INTENTION TO NUMBER 92, BUT AN IRREGULAR HEXAGON RECEIVES INTERCALARY LOZENGES.
93: OF SIMILAR INTENTION TO NUMBER 92, BUT AN IRREGULAR HEXAGON RECEIVES INTERCALARY LOZENGES.
94: TRIANGULAR PLAN. TRACED BY TRELLISED NET-WORK. THE HEXAGON ENVELOPED IN SPIRALS.
94: TRIANGULAR PLAN. TRACED BY TRELLISED NET-WORK. THE HEXAGON ENVELOPED IN SPIRALS.
94: TRIANGULAR PLAN. TRACED BY TRELLISED NET-WORK. THE HEXAGON ENVELOPED IN SPIRALS.
95: TRIANGULAR PLAN. HEXAGON ENVELOPED IN SPIRALS. ANALOGOUS TO NUMBER 94.
95: TRIANGULAR PLAN. HEXAGON ENVELOPED IN SPIRALS. ANALOGOUS TO NUMBER 94.
95: TRIANGULAR PLAN. HEXAGON ENVELOPED IN SPIRALS. ANALOGOUS TO NUMBER 94.
96: NET-WORK OF THE OCTAGON, HEXAGON, AND CIRCLE, ASSEMBLED. FROM THE STARRED OCTAGONS A CURVILINEAL ROSETTE.
96: NET-WORK OF THE OCTAGON, HEXAGON, AND CIRCLE, ASSEMBLED. FROM THE STARRED OCTAGONS A CURVILINEAL ROSETTE.
96: NET-WORK OF THE OCTAGON, HEXAGON, AND CIRCLE, ASSEMBLED. FROM THE STARRED OCTAGONS A CURVILINEAL ROSETTE.
97: SQUARE PLAN. STARS AND ROSETTES. DESCRIBE CIRCUMFERENCES AS INDICATED. THE OCTAGONAL STARS RECEIVE THE EXTENDED LINES OF THE HEXAGONAL AND PENTAGONAL STARS. THE REST FOLLOWS.
97: SQUARE PLAN. STARS AND ROSETTES. DESCRIBE CIRCUMFERENCES AS INDICATED. THE OCTAGONAL STARS RECEIVE THE EXTENDED LINES OF THE HEXAGONAL AND PENTAGONAL STARS. THE REST FOLLOWS.
97: SQUARE PLAN. STARS AND ROSETTES. DESCRIBE CIRCUMFERENCES AS INDICATED. THE OCTAGONAL STARS RECEIVE THE EXTENDED LINES OF THE HEXAGONAL AND PENTAGONAL STARS. THE REST FOLLOWS.
98: DIVIDE CIRCUMFERENCES AS IN THE PLAN. FROM THE CENTRE OF THE HEXAGONAL ROSETTE DESCRIBE A CIRCUMFERENCE TANGENT TO THE FIRST, AND DIVIDE INTO TWELVE PARTS. BY THE AID OF THE PENTAGON COMPRISED COMPLETE THE ROSETTE; THEN, DEPENDING ON THE PENTAGON—WHICH, THOUGH IRREGULAR, RULES ALL—TRACE THE PENTAGONAL FIGURE WHICH STANDS ON THE POINTS OF THE ROSETTES.
98: DIVIDE CIRCUMFERENCES AS IN THE PLAN. FROM THE CENTRE OF THE HEXAGONAL ROSETTE DESCRIBE A CIRCUMFERENCE TANGENT TO THE FIRST, AND DIVIDE INTO TWELVE PARTS. BY THE AID OF THE PENTAGON COMPRISED COMPLETE THE ROSETTE; THEN, DEPENDING ON THE PENTAGON—WHICH, THOUGH IRREGULAR, RULES ALL—TRACE THE PENTAGONAL FIGURE WHICH STANDS ON THE POINTS OF THE ROSETTES.
98: DIVIDE CIRCUMFERENCES AS IN THE PLAN. FROM THE CENTRE OF THE HEXAGONAL ROSETTE DESCRIBE A CIRCUMFERENCE TANGENT TO THE FIRST, AND DIVIDE INTO TWELVE PARTS. BY THE AID OF THE PENTAGON COMPRISED COMPLETE THE ROSETTE; THEN, DEPENDING ON THE PENTAGON—WHICH, THOUGH IRREGULAR, RULES ALL—TRACE THE PENTAGONAL FIGURE WHICH STANDS ON THE POINTS OF THE ROSETTES.
PLATE LXXXIII.Mosaics from Various Halls.
PLATE LXXXIII.
PLATE LXXXIII.
Mosaics from Various Halls.
Mosaics from Various Halls.
99 ISOCELES PLAN. DIVIDE THE SPACE SURROUNDING THE ACUTE APICES OF THE LOZENGE INTO TWENTY EQUAL PARTS, AND OF THE OBTUSE APICES INTO SIXTEEN. IN THE ONE DRAW A STARRED DECAGONAL, AND IN THE OTHER A STARRED OCTAGONAL ROSETTE. THE ADJUSTMENT OF TWO TYPES SO DIFFERENT IS NOT CONSIDERED SUCCESSFUL.
99 ISOCELES PLAN. DIVIDE THE SPACE SURROUNDING THE ACUTE APICES OF THE LOZENGE INTO TWENTY EQUAL PARTS, AND OF THE OBTUSE APICES INTO SIXTEEN. IN THE ONE DRAW A STARRED DECAGONAL, AND IN THE OTHER A STARRED OCTAGONAL ROSETTE. THE ADJUSTMENT OF TWO TYPES SO DIFFERENT IS NOT CONSIDERED SUCCESSFUL.
99 ISOCELES PLAN. DIVIDE THE SPACE SURROUNDING THE ACUTE APICES OF THE LOZENGE INTO TWENTY EQUAL PARTS, AND OF THE OBTUSE APICES INTO SIXTEEN. IN THE ONE DRAW A STARRED DECAGONAL, AND IN THE OTHER A STARRED OCTAGONAL ROSETTE. THE ADJUSTMENT OF TWO TYPES SO DIFFERENT IS NOT CONSIDERED SUCCESSFUL.
100 DIAGRAM OF THE DODECAGON, HEXAGON AND SQUARE. IN THE CENTRE OF THE SQUARE A REGULAR OCTAGON, WHICH IS SUPREME. THEN FROM THE STARRED DODECAGON INSCRIBE A ROSETTE OF TWELVE POINTS; LASTLY, FROM THE STARRED HEXAGON INSCRIBE A ROSETTE OF SIX POINTS.
100 DIAGRAM OF THE DODECAGON, HEXAGON AND SQUARE. IN THE CENTRE OF THE SQUARE A REGULAR OCTAGON, WHICH IS SUPREME. THEN FROM THE STARRED DODECAGON INSCRIBE A ROSETTE OF TWELVE POINTS; LASTLY, FROM THE STARRED HEXAGON INSCRIBE A ROSETTE OF SIX POINTS.
100 DIAGRAM OF THE DODECAGON, HEXAGON AND SQUARE. IN THE CENTRE OF THE SQUARE A REGULAR OCTAGON, WHICH IS SUPREME. THEN FROM THE STARRED DODECAGON INSCRIBE A ROSETTE OF TWELVE POINTS; LASTLY, FROM THE STARRED HEXAGON INSCRIBE A ROSETTE OF SIX POINTS.
101 DIVIDE THE CIRCUMFERENCES AS IN THE PLAN, THE ONE INTO TWENTY-FOUR AND THE OTHER INTO TWELVE EQUAL PARTS. FOR THE REST, THE CENTRES BEING INDICATED, IT IS EASY TO TRACE THE ARCS, AND SO COMPLETE THE FIGURE.
101 DIVIDE THE CIRCUMFERENCES AS IN THE PLAN, THE ONE INTO TWENTY-FOUR AND THE OTHER INTO TWELVE EQUAL PARTS. FOR THE REST, THE CENTRES BEING INDICATED, IT IS EASY TO TRACE THE ARCS, AND SO COMPLETE THE FIGURE.
101 DIVIDE THE CIRCUMFERENCES AS IN THE PLAN, THE ONE INTO TWENTY-FOUR AND THE OTHER INTO TWELVE EQUAL PARTS. FOR THE REST, THE CENTRES BEING INDICATED, IT IS EASY TO TRACE THE ARCS, AND SO COMPLETE THE FIGURE.
102 THE LOZENGE AND TRELLISED ROSETTE EMANATING FROM STARRED HEXAGON, ALTERNATING ROW BY ROW WITH DODECAGONAL ROSETTE SPRINGING FROM STARRED DODECAGON.
102 THE LOZENGE AND TRELLISED ROSETTE EMANATING FROM STARRED HEXAGON, ALTERNATING ROW BY ROW WITH DODECAGONAL ROSETTE SPRINGING FROM STARRED DODECAGON.
102 THE LOZENGE AND TRELLISED ROSETTE EMANATING FROM STARRED HEXAGON, ALTERNATING ROW BY ROW WITH DODECAGONAL ROSETTE SPRINGING FROM STARRED DODECAGON.
PLATE LXXXIV.Part of Ceiling of a Portico.
PLATE LXXXIV.
PLATE LXXXIV.
Part of Ceiling of a Portico.
Part of Ceiling of a Portico.
103 DESCRIBE THE CIRCUMFERENCES AS IN PLAN. BY THE POINTS OF THE STARRED HEXAGON DESCRIBE A REGULAR HEXAGON. BY LINES EXTENDED FROM THE STARRED HEXAGON THE TWELVE-POINTED ROSETTE IS FORMED, CONSTRUCTING AT THE SAME TIME THE STARRED DODECAGON.
103 DESCRIBE THE CIRCUMFERENCES AS IN PLAN. BY THE POINTS OF THE STARRED HEXAGON DESCRIBE A REGULAR HEXAGON. BY LINES EXTENDED FROM THE STARRED HEXAGON THE TWELVE-POINTED ROSETTE IS FORMED, CONSTRUCTING AT THE SAME TIME THE STARRED DODECAGON.
103 DESCRIBE THE CIRCUMFERENCES AS IN PLAN. BY THE POINTS OF THE STARRED HEXAGON DESCRIBE A REGULAR HEXAGON. BY LINES EXTENDED FROM THE STARRED HEXAGON THE TWELVE-POINTED ROSETTE IS FORMED, CONSTRUCTING AT THE SAME TIME THE STARRED DODECAGON.
104 DESIGN ANALOGOUS TO NUMBER 103, BUT WITH CHANGE OFmotif.
104 DESIGN ANALOGOUS TO NUMBER 103, BUT WITH CHANGE OFmotif.
104 DESIGN ANALOGOUS TO NUMBER 103, BUT WITH CHANGE OFmotif.
105 SQUARE PLAN. DIVIDE AS INDICATED AND INSCRIBE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH FORM AN OUTER STAR ALSO OF TWELVE POINTS; THE STARRED OCTAGON IS CONSTITUTED BY POINTS PROLONGED FROM THE DODECAGON.
105 SQUARE PLAN. DIVIDE AS INDICATED AND INSCRIBE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH FORM AN OUTER STAR ALSO OF TWELVE POINTS; THE STARRED OCTAGON IS CONSTITUTED BY POINTS PROLONGED FROM THE DODECAGON.
105 SQUARE PLAN. DIVIDE AS INDICATED AND INSCRIBE A STARRED DODECAGON, THE EXTENDED LINES OF WHICH FORM AN OUTER STAR ALSO OF TWELVE POINTS; THE STARRED OCTAGON IS CONSTITUTED BY POINTS PROLONGED FROM THE DODECAGON.
106 SQUARE PLAN. SIMILAR GROUND-WORK TO THAT OF NUMBER 105. THE DODECAGONAL AND OCTAGONAL ROSETTES ARE DESCRIBED BY CONCENTRIC CIRCUMFERENCES.
106 SQUARE PLAN. SIMILAR GROUND-WORK TO THAT OF NUMBER 105. THE DODECAGONAL AND OCTAGONAL ROSETTES ARE DESCRIBED BY CONCENTRIC CIRCUMFERENCES.
106 SQUARE PLAN. SIMILAR GROUND-WORK TO THAT OF NUMBER 105. THE DODECAGONAL AND OCTAGONAL ROSETTES ARE DESCRIBED BY CONCENTRIC CIRCUMFERENCES.
107 SQUARE PLAN. SIMILAR GROUND-WORK TO NUMBERS 105 AND 106. THE TREATMENT CONSIDERABLY CHANGED.
107 SQUARE PLAN. SIMILAR GROUND-WORK TO NUMBERS 105 AND 106. THE TREATMENT CONSIDERABLY CHANGED.
107 SQUARE PLAN. SIMILAR GROUND-WORK TO NUMBERS 105 AND 106. THE TREATMENT CONSIDERABLY CHANGED.
108 SQUARE PLAN. SUB-DIVIDE AS INDICATED. INSCRIBE THE PENTAGON, THE EXTENDED LINES OF WHICH ESTABLISH THE OCTAGONAL STAR AND ROSETTE, AS WELL AS THE DODECAGONAL ROSETTE AND STAR.
108 SQUARE PLAN. SUB-DIVIDE AS INDICATED. INSCRIBE THE PENTAGON, THE EXTENDED LINES OF WHICH ESTABLISH THE OCTAGONAL STAR AND ROSETTE, AS WELL AS THE DODECAGONAL ROSETTE AND STAR.
108 SQUARE PLAN. SUB-DIVIDE AS INDICATED. INSCRIBE THE PENTAGON, THE EXTENDED LINES OF WHICH ESTABLISH THE OCTAGONAL STAR AND ROSETTE, AS WELL AS THE DODECAGONAL ROSETTE AND STAR.