Chapter 12

109 SQUARE PLAN. DIVIDE AS INDICATED. THE FLOWER-WORK WHICH ACCOMPANIES THE IRREGULAR OCTAGON, THOUGH INDEPENDENT OF GEOMETRIC CONSTRUCTION, IS YET WITHIN THE PROPULSION OF THE LINES.

109 SQUARE PLAN. DIVIDE AS INDICATED. THE FLOWER-WORK WHICH ACCOMPANIES THE IRREGULAR OCTAGON, THOUGH INDEPENDENT OF GEOMETRIC CONSTRUCTION, IS YET WITHIN THE PROPULSION OF THE LINES.

109 SQUARE PLAN. DIVIDE AS INDICATED. THE FLOWER-WORK WHICH ACCOMPANIES THE IRREGULAR OCTAGON, THOUGH INDEPENDENT OF GEOMETRIC CONSTRUCTION, IS YET WITHIN THE PROPULSION OF THE LINES.

110 GROUND-WORK ANALOGOUS TO NUMBER 108, BUT ON A TRIANGULAR PLAN. THE EXTENDED LINES OF THE PENTAGON GOVERN THE ENNEAGONAL AND DODECAGONAL STAR AND ROSETTE.

110 GROUND-WORK ANALOGOUS TO NUMBER 108, BUT ON A TRIANGULAR PLAN. THE EXTENDED LINES OF THE PENTAGON GOVERN THE ENNEAGONAL AND DODECAGONAL STAR AND ROSETTE.

110 GROUND-WORK ANALOGOUS TO NUMBER 108, BUT ON A TRIANGULAR PLAN. THE EXTENDED LINES OF THE PENTAGON GOVERN THE ENNEAGONAL AND DODECAGONAL STAR AND ROSETTE.

111 CURVILINEAR TRANSFORMATION OF NUMBER 110.

111 CURVILINEAR TRANSFORMATION OF NUMBER 110.

111 CURVILINEAR TRANSFORMATION OF NUMBER 110.

112 TRIANGULAR PLAN. DISTRIBUTION OF ENNEAGONAL AND DODECAGONAL STARS AND ROSETTES. [THE DODECAGON ONLY PARTIALLY DISPLAYED.]

112 TRIANGULAR PLAN. DISTRIBUTION OF ENNEAGONAL AND DODECAGONAL STARS AND ROSETTES. [THE DODECAGON ONLY PARTIALLY DISPLAYED.]

112 TRIANGULAR PLAN. DISTRIBUTION OF ENNEAGONAL AND DODECAGONAL STARS AND ROSETTES. [THE DODECAGON ONLY PARTIALLY DISPLAYED.]

113 TRIANGULAR PLAN. SIMILAR CONSTRUCTION TO NUMBER 112. THE DODECAGONAL STAR, ROSETTE, AND OUTER STAR, WHICH ARE IN THE DIAGRAM NUMBER 112 ONLY PARTIALLY SEEN, ARE HERE DISPLAYED.

113 TRIANGULAR PLAN. SIMILAR CONSTRUCTION TO NUMBER 112. THE DODECAGONAL STAR, ROSETTE, AND OUTER STAR, WHICH ARE IN THE DIAGRAM NUMBER 112 ONLY PARTIALLY SEEN, ARE HERE DISPLAYED.

113 TRIANGULAR PLAN. SIMILAR CONSTRUCTION TO NUMBER 112. THE DODECAGONAL STAR, ROSETTE, AND OUTER STAR, WHICH ARE IN THE DIAGRAM NUMBER 112 ONLY PARTIALLY SEEN, ARE HERE DISPLAYED.

114 TRIANGULAR PLAN. FROM A CENTRE AS IN PLAN DESCRIBE CIRCUMFERENCES, WHICH RULE THE DODECAGONAL STAR, ROSETTE, AND OUTER STAR. MANY OF THE FIGURES ARE DRAWN INDEPENDENTLY, THOUGH GOVERNED BY DIVISIONS.

114 TRIANGULAR PLAN. FROM A CENTRE AS IN PLAN DESCRIBE CIRCUMFERENCES, WHICH RULE THE DODECAGONAL STAR, ROSETTE, AND OUTER STAR. MANY OF THE FIGURES ARE DRAWN INDEPENDENTLY, THOUGH GOVERNED BY DIVISIONS.

114 TRIANGULAR PLAN. FROM A CENTRE AS IN PLAN DESCRIBE CIRCUMFERENCES, WHICH RULE THE DODECAGONAL STAR, ROSETTE, AND OUTER STAR. MANY OF THE FIGURES ARE DRAWN INDEPENDENTLY, THOUGH GOVERNED BY DIVISIONS.

115 DIVIDE AS IN PLAN. INSCRIBE A DECAGONAL ROSETTE, FROM THE PROLONGED LINES OF WHICH PROCEED THE PENTAGONAL STAR, THE REGULAR OCTAGON, AND OTHER FIGURES.

115 DIVIDE AS IN PLAN. INSCRIBE A DECAGONAL ROSETTE, FROM THE PROLONGED LINES OF WHICH PROCEED THE PENTAGONAL STAR, THE REGULAR OCTAGON, AND OTHER FIGURES.

115 DIVIDE AS IN PLAN. INSCRIBE A DECAGONAL ROSETTE, FROM THE PROLONGED LINES OF WHICH PROCEED THE PENTAGONAL STAR, THE REGULAR OCTAGON, AND OTHER FIGURES.

116 DIVIDE AS IN PLAN. TWO DIFFERENT ROSETTES, ONE OF TWELVE AND THE OTHER OF FIFTEEN POINTS. [THE DODECAGONAL ROSETTE IS, HOWEVER, ONLY PARTIALLY SHOWN HERE.]

116 DIVIDE AS IN PLAN. TWO DIFFERENT ROSETTES, ONE OF TWELVE AND THE OTHER OF FIFTEEN POINTS. [THE DODECAGONAL ROSETTE IS, HOWEVER, ONLY PARTIALLY SHOWN HERE.]

116 DIVIDE AS IN PLAN. TWO DIFFERENT ROSETTES, ONE OF TWELVE AND THE OTHER OF FIFTEEN POINTS. [THE DODECAGONAL ROSETTE IS, HOWEVER, ONLY PARTIALLY SHOWN HERE.]

117 DESCRIBE CIRCUMFERENCES AND TRACE ROSETTE OF SIXTEEN POINTS. THE LINES EXTENDED WILL COMPLETE THE FIGURE.

117 DESCRIBE CIRCUMFERENCES AND TRACE ROSETTE OF SIXTEEN POINTS. THE LINES EXTENDED WILL COMPLETE THE FIGURE.

117 DESCRIBE CIRCUMFERENCES AND TRACE ROSETTE OF SIXTEEN POINTS. THE LINES EXTENDED WILL COMPLETE THE FIGURE.

118 CURVILINEAR TRANSFORMATION OF NUMBER 117.

118 CURVILINEAR TRANSFORMATION OF NUMBER 117.

118 CURVILINEAR TRANSFORMATION OF NUMBER 117.

119 DIVIDE AS INDICATED, AND THE RESULTING ROSETTE OF SIXTEEN POINTS, WHICH WOULD NATURALLY BE RECTILINEAR, MAY BE EASILY TRANSFORMED TO CURVILINEAR; WHILE THE PENTAGONAL STARS, TREATED IN UNDULATING FORM, BECOME FLOWER-WORK OR FOLIAGE.

119 DIVIDE AS INDICATED, AND THE RESULTING ROSETTE OF SIXTEEN POINTS, WHICH WOULD NATURALLY BE RECTILINEAR, MAY BE EASILY TRANSFORMED TO CURVILINEAR; WHILE THE PENTAGONAL STARS, TREATED IN UNDULATING FORM, BECOME FLOWER-WORK OR FOLIAGE.

119 DIVIDE AS INDICATED, AND THE RESULTING ROSETTE OF SIXTEEN POINTS, WHICH WOULD NATURALLY BE RECTILINEAR, MAY BE EASILY TRANSFORMED TO CURVILINEAR; WHILE THE PENTAGONAL STARS, TREATED IN UNDULATING FORM, BECOME FLOWER-WORK OR FOLIAGE.

120 SAME GROUND-WORK AS NUMBER 119. BUT HERE THE ROSETTE IS STARRED, END ON END, ABOUT THE POINTS.

120 SAME GROUND-WORK AS NUMBER 119. BUT HERE THE ROSETTE IS STARRED, END ON END, ABOUT THE POINTS.

120 SAME GROUND-WORK AS NUMBER 119. BUT HERE THE ROSETTE IS STARRED, END ON END, ABOUT THE POINTS.

121 SUB-DIVIDE AS IN PLAN. THE CIRCUMFERENCE GOVERNING THE HEPTAGON IS DIVIDED INTO EQUAL PARTS; BY PROLONGING THE SIDES OF THE HEPTAGON THE ROSETTE OF SIXTEEN POINTS IS INSCRIBED.

121 SUB-DIVIDE AS IN PLAN. THE CIRCUMFERENCE GOVERNING THE HEPTAGON IS DIVIDED INTO EQUAL PARTS; BY PROLONGING THE SIDES OF THE HEPTAGON THE ROSETTE OF SIXTEEN POINTS IS INSCRIBED.

121 SUB-DIVIDE AS IN PLAN. THE CIRCUMFERENCE GOVERNING THE HEPTAGON IS DIVIDED INTO EQUAL PARTS; BY PROLONGING THE SIDES OF THE HEPTAGON THE ROSETTE OF SIXTEEN POINTS IS INSCRIBED.

122 CIRCUMFERENCES TANGENT TO THOSE OF THE PENTAGON INSCRIBE THE ROSETTE OF SIXTEEN POINTS.

122 CIRCUMFERENCES TANGENT TO THOSE OF THE PENTAGON INSCRIBE THE ROSETTE OF SIXTEEN POINTS.

122 CIRCUMFERENCES TANGENT TO THOSE OF THE PENTAGON INSCRIBE THE ROSETTE OF SIXTEEN POINTS.

123 TRANSFORMATION OF THE RECTILINEAL ROSETTE NUMBER 122. THE FIGURES IN OTHER RESPECTS IDENTICAL.

123 TRANSFORMATION OF THE RECTILINEAL ROSETTE NUMBER 122. THE FIGURES IN OTHER RESPECTS IDENTICAL.

123 TRANSFORMATION OF THE RECTILINEAL ROSETTE NUMBER 122. THE FIGURES IN OTHER RESPECTS IDENTICAL.

124 DIVIDE AS INDICATED. THE EXTENDED LINES OF THE HEXAGON INSCRIBE THE ROSETTE OF EIGHTEEN POINTS AND THAT OF NINE POINTS. THE REST IS BUT A MATTER OF ADJUSTMENT.

124 DIVIDE AS INDICATED. THE EXTENDED LINES OF THE HEXAGON INSCRIBE THE ROSETTE OF EIGHTEEN POINTS AND THAT OF NINE POINTS. THE REST IS BUT A MATTER OF ADJUSTMENT.

124 DIVIDE AS INDICATED. THE EXTENDED LINES OF THE HEXAGON INSCRIBE THE ROSETTE OF EIGHTEEN POINTS AND THAT OF NINE POINTS. THE REST IS BUT A MATTER OF ADJUSTMENT.

125 DESIGN ANALOGOUS TO NUMBER 124. IN THIS ARRANGEMENT, TWO SIDES OF THE HEPTAGON PROLONGED DETERMINE THE ROSETTE OF EIGHTEEN AND THAT OF TWELVE POINTS.

125 DESIGN ANALOGOUS TO NUMBER 124. IN THIS ARRANGEMENT, TWO SIDES OF THE HEPTAGON PROLONGED DETERMINE THE ROSETTE OF EIGHTEEN AND THAT OF TWELVE POINTS.

125 DESIGN ANALOGOUS TO NUMBER 124. IN THIS ARRANGEMENT, TWO SIDES OF THE HEPTAGON PROLONGED DETERMINE THE ROSETTE OF EIGHTEEN AND THAT OF TWELVE POINTS.

126 SQUARE PLAN. DIVIDE AS INDICATED. INSCRIBE A ROSETTE OF TWENTY POINTS (THE HALF OF WHICH IS SHOWN IN THE DIAGRAM). IN A TANGENT CIRCUMFERENCE INSCRIBE THE ROSETTE OF TWELVE POINTS. THE REST FOLLOWS.

126 SQUARE PLAN. DIVIDE AS INDICATED. INSCRIBE A ROSETTE OF TWENTY POINTS (THE HALF OF WHICH IS SHOWN IN THE DIAGRAM). IN A TANGENT CIRCUMFERENCE INSCRIBE THE ROSETTE OF TWELVE POINTS. THE REST FOLLOWS.

126 SQUARE PLAN. DIVIDE AS INDICATED. INSCRIBE A ROSETTE OF TWENTY POINTS (THE HALF OF WHICH IS SHOWN IN THE DIAGRAM). IN A TANGENT CIRCUMFERENCE INSCRIBE THE ROSETTE OF TWELVE POINTS. THE REST FOLLOWS.

127 DISTRIBUTION OF THE DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. BY THE MIDDLE POINTS OF THE SIDES OF THE DODECAGON INSCRIBE A STAR AND A ROSETTE OF TWENTY-FOUR POINTS. WITHIN THE HEXAGON INSCRIBE TWO TRIANGLES FROM A TANGENT CIRCUMFERENCE. A LOZENGE IS INSCRIBED BETWEEN OPPOSITE SIDES OF THE SQUARE. LASTLY, BYtricèles révolvés, ALL THE PROLONGED LINES ARE RECONCILED.

127 DISTRIBUTION OF THE DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. BY THE MIDDLE POINTS OF THE SIDES OF THE DODECAGON INSCRIBE A STAR AND A ROSETTE OF TWENTY-FOUR POINTS. WITHIN THE HEXAGON INSCRIBE TWO TRIANGLES FROM A TANGENT CIRCUMFERENCE. A LOZENGE IS INSCRIBED BETWEEN OPPOSITE SIDES OF THE SQUARE. LASTLY, BYtricèles révolvés, ALL THE PROLONGED LINES ARE RECONCILED.

127 DISTRIBUTION OF THE DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. BY THE MIDDLE POINTS OF THE SIDES OF THE DODECAGON INSCRIBE A STAR AND A ROSETTE OF TWENTY-FOUR POINTS. WITHIN THE HEXAGON INSCRIBE TWO TRIANGLES FROM A TANGENT CIRCUMFERENCE. A LOZENGE IS INSCRIBED BETWEEN OPPOSITE SIDES OF THE SQUARE. LASTLY, BYtricèles révolvés, ALL THE PROLONGED LINES ARE RECONCILED.

128 DISTRIBUTION OF THE DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. IN THE DODECAGON INSCRIBE A ROSETTE OF TWENTY-FOUR POINTS; IN THE HEXAGON A ROSETTE OF TWELVE POINTS; AND, LASTLY, IN THE SQUARE A ROSETTE OF EIGHT POINTS. A LITTLE PENTAGONAL STAR RECONCILES THE PROLONGED LINES.

128 DISTRIBUTION OF THE DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. IN THE DODECAGON INSCRIBE A ROSETTE OF TWENTY-FOUR POINTS; IN THE HEXAGON A ROSETTE OF TWELVE POINTS; AND, LASTLY, IN THE SQUARE A ROSETTE OF EIGHT POINTS. A LITTLE PENTAGONAL STAR RECONCILES THE PROLONGED LINES.

128 DISTRIBUTION OF THE DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. IN THE DODECAGON INSCRIBE A ROSETTE OF TWENTY-FOUR POINTS; IN THE HEXAGON A ROSETTE OF TWELVE POINTS; AND, LASTLY, IN THE SQUARE A ROSETTE OF EIGHT POINTS. A LITTLE PENTAGONAL STAR RECONCILES THE PROLONGED LINES.

129 SUB-DIVIDE AS IN PLAN. DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. IN THE DODECAGON A ROSETTE OF TWELVE POINTS. IN THE TANGENT CIRCUMFERENCE SIX HEXAGONS. THE SQUARE GOVERNS THE PROLONGED LINES.

129 SUB-DIVIDE AS IN PLAN. DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. IN THE DODECAGON A ROSETTE OF TWELVE POINTS. IN THE TANGENT CIRCUMFERENCE SIX HEXAGONS. THE SQUARE GOVERNS THE PROLONGED LINES.

129 SUB-DIVIDE AS IN PLAN. DODECAGON, HEXAGON, AND SQUARE ASSEMBLED. IN THE DODECAGON A ROSETTE OF TWELVE POINTS. IN THE TANGENT CIRCUMFERENCE SIX HEXAGONS. THE SQUARE GOVERNS THE PROLONGED LINES.

130 THE ROSETTES ARE AS IN NUMBER 129. THE SMALLER HEXAGONS GOVERN THE PRINCIPAL FIGURES.

130 THE ROSETTES ARE AS IN NUMBER 129. THE SMALLER HEXAGONS GOVERN THE PRINCIPAL FIGURES.

130 THE ROSETTES ARE AS IN NUMBER 129. THE SMALLER HEXAGONS GOVERN THE PRINCIPAL FIGURES.

131 SQUARE PLAN; DISTRIBUTION FOLLOWS THE NET-WORK OF THE OCTAGON AND SQUARE. THE ROSETTE IS LINKED BY THE SMALLER OCTAGONS.

131 SQUARE PLAN; DISTRIBUTION FOLLOWS THE NET-WORK OF THE OCTAGON AND SQUARE. THE ROSETTE IS LINKED BY THE SMALLER OCTAGONS.

131 SQUARE PLAN; DISTRIBUTION FOLLOWS THE NET-WORK OF THE OCTAGON AND SQUARE. THE ROSETTE IS LINKED BY THE SMALLER OCTAGONS.

132 ANALOGOUS TO NUMBER 131.

132 ANALOGOUS TO NUMBER 131.

132 ANALOGOUS TO NUMBER 131.

133 OCTAGONS AND SQUARES ASSEMBLED. THE OCTAGONAL ROSETTE GOVERNS.

133 OCTAGONS AND SQUARES ASSEMBLED. THE OCTAGONAL ROSETTE GOVERNS.

133 OCTAGONS AND SQUARES ASSEMBLED. THE OCTAGONAL ROSETTE GOVERNS.

134 SUB-DIVIDE AS INDICATED. DESCRIBE A CIRCLE IN WHICH IS INSCRIBED A STAR WITH SIDES PROLONGED, DETERMINING AN OCTAGONAL ROSETTE. BY CONCENTRIC CIRCLES, SOMEWHAT ARBITRARY, THE ROSETTE OF SIXTEEN POINTS IS DETERMINED.

134 SUB-DIVIDE AS INDICATED. DESCRIBE A CIRCLE IN WHICH IS INSCRIBED A STAR WITH SIDES PROLONGED, DETERMINING AN OCTAGONAL ROSETTE. BY CONCENTRIC CIRCLES, SOMEWHAT ARBITRARY, THE ROSETTE OF SIXTEEN POINTS IS DETERMINED.

134 SUB-DIVIDE AS INDICATED. DESCRIBE A CIRCLE IN WHICH IS INSCRIBED A STAR WITH SIDES PROLONGED, DETERMINING AN OCTAGONAL ROSETTE. BY CONCENTRIC CIRCLES, SOMEWHAT ARBITRARY, THE ROSETTE OF SIXTEEN POINTS IS DETERMINED.

135 SUB-DIVIDE AS IN PLAN. IN A CIRCLE IS INSCRIBED AN OCTAGONAL ROSETTE, AND TAKE A TANGENT CIRCUMFERENCE IN WHICH TO INSCRIBE THE ROSETTE OF SIXTEEN POINTS. THE REST FOLLOWS.

135 SUB-DIVIDE AS IN PLAN. IN A CIRCLE IS INSCRIBED AN OCTAGONAL ROSETTE, AND TAKE A TANGENT CIRCUMFERENCE IN WHICH TO INSCRIBE THE ROSETTE OF SIXTEEN POINTS. THE REST FOLLOWS.

135 SUB-DIVIDE AS IN PLAN. IN A CIRCLE IS INSCRIBED AN OCTAGONAL ROSETTE, AND TAKE A TANGENT CIRCUMFERENCE IN WHICH TO INSCRIBE THE ROSETTE OF SIXTEEN POINTS. THE REST FOLLOWS.

136 DISTRIBUTION OF THE OCTAGON AND SQUARE. A CONCENTRIC CIRCLE CONTAINS ARCS COMPOSING A CURVILINEAR ROSETTE, WITHIN WHICH IS A ROSETTE OF FIVE POINTS. IN THE CENTRE OF THE SQUARE PLAN A CURVILINEAR ROSETTE ENCLOSING AN OCTAGONAL ROSETTE WITH SIDES PROLONGED, BRINGING INTO ACCORD THE PENTAGONAL ROSETTES.

136 DISTRIBUTION OF THE OCTAGON AND SQUARE. A CONCENTRIC CIRCLE CONTAINS ARCS COMPOSING A CURVILINEAR ROSETTE, WITHIN WHICH IS A ROSETTE OF FIVE POINTS. IN THE CENTRE OF THE SQUARE PLAN A CURVILINEAR ROSETTE ENCLOSING AN OCTAGONAL ROSETTE WITH SIDES PROLONGED, BRINGING INTO ACCORD THE PENTAGONAL ROSETTES.

136 DISTRIBUTION OF THE OCTAGON AND SQUARE. A CONCENTRIC CIRCLE CONTAINS ARCS COMPOSING A CURVILINEAR ROSETTE, WITHIN WHICH IS A ROSETTE OF FIVE POINTS. IN THE CENTRE OF THE SQUARE PLAN A CURVILINEAR ROSETTE ENCLOSING AN OCTAGONAL ROSETTE WITH SIDES PROLONGED, BRINGING INTO ACCORD THE PENTAGONAL ROSETTES.

137 SUB-DIVIDE THE MAIN CIRCLE INTO THIRTY-TWO EQUAL PARTS, AND INSCRIBE THE ROSETTE OF SIXTEEN POINTS. OTHER CIRCLES ARE INSCRIBED, EACH CONTAINING A PERFECT OCTAGON.

137 SUB-DIVIDE THE MAIN CIRCLE INTO THIRTY-TWO EQUAL PARTS, AND INSCRIBE THE ROSETTE OF SIXTEEN POINTS. OTHER CIRCLES ARE INSCRIBED, EACH CONTAINING A PERFECT OCTAGON.

137 SUB-DIVIDE THE MAIN CIRCLE INTO THIRTY-TWO EQUAL PARTS, AND INSCRIBE THE ROSETTE OF SIXTEEN POINTS. OTHER CIRCLES ARE INSCRIBED, EACH CONTAINING A PERFECT OCTAGON.

138 NET-WORK OF OCTAGON AND SQUARE. INSCRIBE A ROSETTE OF EIGHT POINTS, AND IN A CIRCUMFERENCE TANGENT INSCRIBE A ROSETTE OF TWENTY-FOUR POINTS. THE ROSETTES ARE BROUGHT INTO ACCORD BY THE HEXAGONS.

138 NET-WORK OF OCTAGON AND SQUARE. INSCRIBE A ROSETTE OF EIGHT POINTS, AND IN A CIRCUMFERENCE TANGENT INSCRIBE A ROSETTE OF TWENTY-FOUR POINTS. THE ROSETTES ARE BROUGHT INTO ACCORD BY THE HEXAGONS.

138 NET-WORK OF OCTAGON AND SQUARE. INSCRIBE A ROSETTE OF EIGHT POINTS, AND IN A CIRCUMFERENCE TANGENT INSCRIBE A ROSETTE OF TWENTY-FOUR POINTS. THE ROSETTES ARE BROUGHT INTO ACCORD BY THE HEXAGONS.

139 IN A CIRCUMFERENCE INDICATED IN THE SQUARE PLAN INSCRIBE THE OCTAGONAL ROSETTE. EXTENDED SIDES DETERMINE THE PERFECT OCTAGONS.

139 IN A CIRCUMFERENCE INDICATED IN THE SQUARE PLAN INSCRIBE THE OCTAGONAL ROSETTE. EXTENDED SIDES DETERMINE THE PERFECT OCTAGONS.

139 IN A CIRCUMFERENCE INDICATED IN THE SQUARE PLAN INSCRIBE THE OCTAGONAL ROSETTE. EXTENDED SIDES DETERMINE THE PERFECT OCTAGONS.

140 SQUARE PLAN. OCTAGONAL AND SQUARE DISTRIBUTION. TWO ROSETTES, ONE OF SIXTEEN AND ONE OF EIGHT POINTS. THE DIAGONALS FROM THE ANGLES OF THE PENTAGON COMPLETE THE ROSETTE OF SIXTEEN POINTS, AND THE EXTENDED SIDES OF THE PENTAGON DETERMINE THE OCTAGONAL ROSETTE.

140 SQUARE PLAN. OCTAGONAL AND SQUARE DISTRIBUTION. TWO ROSETTES, ONE OF SIXTEEN AND ONE OF EIGHT POINTS. THE DIAGONALS FROM THE ANGLES OF THE PENTAGON COMPLETE THE ROSETTE OF SIXTEEN POINTS, AND THE EXTENDED SIDES OF THE PENTAGON DETERMINE THE OCTAGONAL ROSETTE.

140 SQUARE PLAN. OCTAGONAL AND SQUARE DISTRIBUTION. TWO ROSETTES, ONE OF SIXTEEN AND ONE OF EIGHT POINTS. THE DIAGONALS FROM THE ANGLES OF THE PENTAGON COMPLETE THE ROSETTE OF SIXTEEN POINTS, AND THE EXTENDED SIDES OF THE PENTAGON DETERMINE THE OCTAGONAL ROSETTE.

141 SQUARE PLAN. NET-WORK OF THE OCTAGON AND SQUARE ASSEMBLED. DESCRIBE CIRCUMFERENCES AS IN THE PLAN. IN JOINING THE POINTS OF DIVISION, THERE IS ON THE ONE PART THE HEXAGON, AND ON THE OTHER PART THE ROSETTE OF SIXTEEN POINTS. THEtricèle révolvéASSISTS IN ELUCIDATING THE NET-WORK.

141 SQUARE PLAN. NET-WORK OF THE OCTAGON AND SQUARE ASSEMBLED. DESCRIBE CIRCUMFERENCES AS IN THE PLAN. IN JOINING THE POINTS OF DIVISION, THERE IS ON THE ONE PART THE HEXAGON, AND ON THE OTHER PART THE ROSETTE OF SIXTEEN POINTS. THEtricèle révolvéASSISTS IN ELUCIDATING THE NET-WORK.

141 SQUARE PLAN. NET-WORK OF THE OCTAGON AND SQUARE ASSEMBLED. DESCRIBE CIRCUMFERENCES AS IN THE PLAN. IN JOINING THE POINTS OF DIVISION, THERE IS ON THE ONE PART THE HEXAGON, AND ON THE OTHER PART THE ROSETTE OF SIXTEEN POINTS. THEtricèle révolvéASSISTS IN ELUCIDATING THE NET-WORK.

142 CURVILINEAR NET-WORK COMPOSED OF STARS OF FIVE, SIX, AND EIGHT POINTS. DESCRIBE THE CIRCUMFERENCES AS IN THE PLAN. ONE CIRCLE DESCRIBES THE STAR OF FIVE POINTS; ANOTHER CIRCLE INSCRIBES A CURVILINEAR IRREGULAR HEXAGON; STILL ANOTHER CIRCLE INSCRIBES A STAR OF EIGHT POINTS, AND THE LAST CIRCLE A STAR OF SIX POINTS.

142 CURVILINEAR NET-WORK COMPOSED OF STARS OF FIVE, SIX, AND EIGHT POINTS. DESCRIBE THE CIRCUMFERENCES AS IN THE PLAN. ONE CIRCLE DESCRIBES THE STAR OF FIVE POINTS; ANOTHER CIRCLE INSCRIBES A CURVILINEAR IRREGULAR HEXAGON; STILL ANOTHER CIRCLE INSCRIBES A STAR OF EIGHT POINTS, AND THE LAST CIRCLE A STAR OF SIX POINTS.

142 CURVILINEAR NET-WORK COMPOSED OF STARS OF FIVE, SIX, AND EIGHT POINTS. DESCRIBE THE CIRCUMFERENCES AS IN THE PLAN. ONE CIRCLE DESCRIBES THE STAR OF FIVE POINTS; ANOTHER CIRCLE INSCRIBES A CURVILINEAR IRREGULAR HEXAGON; STILL ANOTHER CIRCLE INSCRIBES A STAR OF EIGHT POINTS, AND THE LAST CIRCLE A STAR OF SIX POINTS.

143 SUB-DIVIDE AS INDICATED. THE PROLONGED LINES OF THE PENTAGONAL STAR DETERMINE THE DECAGONAL STAR AND ROSETTE.

143 SUB-DIVIDE AS INDICATED. THE PROLONGED LINES OF THE PENTAGONAL STAR DETERMINE THE DECAGONAL STAR AND ROSETTE.

143 SUB-DIVIDE AS INDICATED. THE PROLONGED LINES OF THE PENTAGONAL STAR DETERMINE THE DECAGONAL STAR AND ROSETTE.

144 DIVIDE AS IN THE PLAN. BY TANGENT CIRCUMFERENCES INSCRIBE THE ROSETTES. BY SIDES EXTENDED THE REST FOLLOWS.

144 DIVIDE AS IN THE PLAN. BY TANGENT CIRCUMFERENCES INSCRIBE THE ROSETTES. BY SIDES EXTENDED THE REST FOLLOWS.

144 DIVIDE AS IN THE PLAN. BY TANGENT CIRCUMFERENCES INSCRIBE THE ROSETTES. BY SIDES EXTENDED THE REST FOLLOWS.

145 OCTAGONAL, DECAGONAL, AND DODECAGONAL STARS AND ROSETTES. BY SIDES PROLONGED THE REST FOLLOWS.

145 OCTAGONAL, DECAGONAL, AND DODECAGONAL STARS AND ROSETTES. BY SIDES PROLONGED THE REST FOLLOWS.

145 OCTAGONAL, DECAGONAL, AND DODECAGONAL STARS AND ROSETTES. BY SIDES PROLONGED THE REST FOLLOWS.

146 OCTAGONAL, DECAGONAL, AND DODECAGONAL STARS AND ROSETTES. BY EXTENDED LINES AND THE ADJUSTMENT OF THE REGULAR OCTAGONS THE DIAGRAM IS COMPLETED.

146 OCTAGONAL, DECAGONAL, AND DODECAGONAL STARS AND ROSETTES. BY EXTENDED LINES AND THE ADJUSTMENT OF THE REGULAR OCTAGONS THE DIAGRAM IS COMPLETED.

146 OCTAGONAL, DECAGONAL, AND DODECAGONAL STARS AND ROSETTES. BY EXTENDED LINES AND THE ADJUSTMENT OF THE REGULAR OCTAGONS THE DIAGRAM IS COMPLETED.

147 IN A CIRCUMFERENCE AS INDICATED INSCRIBE A STAR OF NINE POINTS, AND BY SIDES PROLONGED A ROSETTE OF NINE POINTS; IN A SECOND A STAR AND ROSETTE OF TWELVE POINTS; AND IN A THIRD CIRCUMFERENCE A STAR AND ROSETTE OF TEN POINTS. THE REST FOLLOWS BY EXTENSION.

147 IN A CIRCUMFERENCE AS INDICATED INSCRIBE A STAR OF NINE POINTS, AND BY SIDES PROLONGED A ROSETTE OF NINE POINTS; IN A SECOND A STAR AND ROSETTE OF TWELVE POINTS; AND IN A THIRD CIRCUMFERENCE A STAR AND ROSETTE OF TEN POINTS. THE REST FOLLOWS BY EXTENSION.

147 IN A CIRCUMFERENCE AS INDICATED INSCRIBE A STAR OF NINE POINTS, AND BY SIDES PROLONGED A ROSETTE OF NINE POINTS; IN A SECOND A STAR AND ROSETTE OF TWELVE POINTS; AND IN A THIRD CIRCUMFERENCE A STAR AND ROSETTE OF TEN POINTS. THE REST FOLLOWS BY EXTENSION.

148 THE CENTRAL CIRCUMFERENCE DIVIDED INTO THIRTY-TWO EQUAL PARTS PRODUCES A STAR AND ROSETTE OF SIXTEEN POINTS. DIVIDE OTHER CIRCUMFERENCES TO PRODUCE STARS AND ROSETTES OF TWELVE AND TEN POINTS. THE REST FOLLOWS.

148 THE CENTRAL CIRCUMFERENCE DIVIDED INTO THIRTY-TWO EQUAL PARTS PRODUCES A STAR AND ROSETTE OF SIXTEEN POINTS. DIVIDE OTHER CIRCUMFERENCES TO PRODUCE STARS AND ROSETTES OF TWELVE AND TEN POINTS. THE REST FOLLOWS.

148 THE CENTRAL CIRCUMFERENCE DIVIDED INTO THIRTY-TWO EQUAL PARTS PRODUCES A STAR AND ROSETTE OF SIXTEEN POINTS. DIVIDE OTHER CIRCUMFERENCES TO PRODUCE STARS AND ROSETTES OF TWELVE AND TEN POINTS. THE REST FOLLOWS.

149 CIRCUMFERENCES DIVIDED AS INDICATED. INSCRIBE STARS OF NINE, TEN, AND TWELVE POINTS.

149 CIRCUMFERENCES DIVIDED AS INDICATED. INSCRIBE STARS OF NINE, TEN, AND TWELVE POINTS.

149 CIRCUMFERENCES DIVIDED AS INDICATED. INSCRIBE STARS OF NINE, TEN, AND TWELVE POINTS.

150 NET-WORK ANALOGOUS TO NUMBER 148. THE LINES OF THE HEPTAGON, EXTENDED, JOIN THE LINES OF THE ROSETTES.

150 NET-WORK ANALOGOUS TO NUMBER 148. THE LINES OF THE HEPTAGON, EXTENDED, JOIN THE LINES OF THE ROSETTES.

150 NET-WORK ANALOGOUS TO NUMBER 148. THE LINES OF THE HEPTAGON, EXTENDED, JOIN THE LINES OF THE ROSETTES.

151 THIS EXAMPLE EXHIBITS THE MARVELLOUS INGENUITY OF THE ARABIAN DESIGNER IN COMPOSITION, ROSETTES OF FIVE, SIX, SEVEN, AND EIGHT POINTS BEING ADJUSTED. THE DESIGN IS EVIDENTLY THE PRODUCTION OF AN ART-WORKMAN. IF THE NET-WORK IS NOT ACTUALLY PERFECT, IT APPROACHES PERFECTION SO NEARLY THAT IT MAY BE CONSIDERED EXACT.

151 THIS EXAMPLE EXHIBITS THE MARVELLOUS INGENUITY OF THE ARABIAN DESIGNER IN COMPOSITION, ROSETTES OF FIVE, SIX, SEVEN, AND EIGHT POINTS BEING ADJUSTED. THE DESIGN IS EVIDENTLY THE PRODUCTION OF AN ART-WORKMAN. IF THE NET-WORK IS NOT ACTUALLY PERFECT, IT APPROACHES PERFECTION SO NEARLY THAT IT MAY BE CONSIDERED EXACT.

151 THIS EXAMPLE EXHIBITS THE MARVELLOUS INGENUITY OF THE ARABIAN DESIGNER IN COMPOSITION, ROSETTES OF FIVE, SIX, SEVEN, AND EIGHT POINTS BEING ADJUSTED. THE DESIGN IS EVIDENTLY THE PRODUCTION OF AN ART-WORKMAN. IF THE NET-WORK IS NOT ACTUALLY PERFECT, IT APPROACHES PERFECTION SO NEARLY THAT IT MAY BE CONSIDERED EXACT.

152 ISOCELES OR LOZENGE PLAN. THE ROSETTE OF FOURTEEN POINTS RESULT FROM THE EXTENDED LINES OF THE HEPTAGONS.

152 ISOCELES OR LOZENGE PLAN. THE ROSETTE OF FOURTEEN POINTS RESULT FROM THE EXTENDED LINES OF THE HEPTAGONS.

152 ISOCELES OR LOZENGE PLAN. THE ROSETTE OF FOURTEEN POINTS RESULT FROM THE EXTENDED LINES OF THE HEPTAGONS.

153 ANALOGOUS TO NUMBER 152, BUT WITH DIAGONALS SOMEWHAT DIFFERENTLY TREATED.

153 ANALOGOUS TO NUMBER 152, BUT WITH DIAGONALS SOMEWHAT DIFFERENTLY TREATED.

153 ANALOGOUS TO NUMBER 152, BUT WITH DIAGONALS SOMEWHAT DIFFERENTLY TREATED.

154 ROSETTE OF FOURTEEN POINTS GOVERNED BY HEPTAGONS.

154 ROSETTE OF FOURTEEN POINTS GOVERNED BY HEPTAGONS.

154 ROSETTE OF FOURTEEN POINTS GOVERNED BY HEPTAGONS.

155 ROSETTE OF FOURTEEN POINTS FROM EXTENDED LINES OF THE HEPTAGONS. THE REST FOLLOWS.

155 ROSETTE OF FOURTEEN POINTS FROM EXTENDED LINES OF THE HEPTAGONS. THE REST FOLLOWS.

155 ROSETTE OF FOURTEEN POINTS FROM EXTENDED LINES OF THE HEPTAGONS. THE REST FOLLOWS.

156 PENTAGONAL ADJUSTMENT. A CIRCUMFERENCE TANGENT TO THOSE OF THE PENTAGON INSCRIBES A STARRED ROSETTE OF FOURTEEN POINTS.

156 PENTAGONAL ADJUSTMENT. A CIRCUMFERENCE TANGENT TO THOSE OF THE PENTAGON INSCRIBES A STARRED ROSETTE OF FOURTEEN POINTS.

156 PENTAGONAL ADJUSTMENT. A CIRCUMFERENCE TANGENT TO THOSE OF THE PENTAGON INSCRIBES A STARRED ROSETTE OF FOURTEEN POINTS.

157 BY A CONCENTRIC CIRCUMFERENCE IS INSCRIBED THE ROSETTE OF FOURTEEN POINTS. THE PENTAGON WHICH GOVERNS HAS ONE OF ITS SIDES EXTENDED TO GREATER LENGTH THAN THE SIX OTHERS.

157 BY A CONCENTRIC CIRCUMFERENCE IS INSCRIBED THE ROSETTE OF FOURTEEN POINTS. THE PENTAGON WHICH GOVERNS HAS ONE OF ITS SIDES EXTENDED TO GREATER LENGTH THAN THE SIX OTHERS.

157 BY A CONCENTRIC CIRCUMFERENCE IS INSCRIBED THE ROSETTE OF FOURTEEN POINTS. THE PENTAGON WHICH GOVERNS HAS ONE OF ITS SIDES EXTENDED TO GREATER LENGTH THAN THE SIX OTHERS.

158 BY THE AID OF A CIRCUMFERENCE, INDICATED, IS INSCRIBED THE HEPTAGONAL STAR FROM WHICH THE OTHER FIGURES PROCEED.

158 BY THE AID OF A CIRCUMFERENCE, INDICATED, IS INSCRIBED THE HEPTAGONAL STAR FROM WHICH THE OTHER FIGURES PROCEED.

158 BY THE AID OF A CIRCUMFERENCE, INDICATED, IS INSCRIBED THE HEPTAGONAL STAR FROM WHICH THE OTHER FIGURES PROCEED.

159 DECAGONAL STARS AND ROSETTES, WITH INTERCALARY PENTAGONS. ALSO WITH INTERCALARY MESHES, WHICH ARE EQUAL TO THOSE OF THE ROSETTES.

159 DECAGONAL STARS AND ROSETTES, WITH INTERCALARY PENTAGONS. ALSO WITH INTERCALARY MESHES, WHICH ARE EQUAL TO THOSE OF THE ROSETTES.

159 DECAGONAL STARS AND ROSETTES, WITH INTERCALARY PENTAGONS. ALSO WITH INTERCALARY MESHES, WHICH ARE EQUAL TO THOSE OF THE ROSETTES.

160 ANALOGOUS TO NUMBER 159.

160 ANALOGOUS TO NUMBER 159.

160 ANALOGOUS TO NUMBER 159.

161 SUB-DIVIDE THE SPACE SURROUNDING THE ISOCELES TRIANGLE AS INDICATED. THE CIRCUMFERENCES BEING DESCRIBED. THE DIAGONALS EXTENDED COMPLETE THE FIGURE.

161 SUB-DIVIDE THE SPACE SURROUNDING THE ISOCELES TRIANGLE AS INDICATED. THE CIRCUMFERENCES BEING DESCRIBED. THE DIAGONALS EXTENDED COMPLETE THE FIGURE.

161 SUB-DIVIDE THE SPACE SURROUNDING THE ISOCELES TRIANGLE AS INDICATED. THE CIRCUMFERENCES BEING DESCRIBED. THE DIAGONALS EXTENDED COMPLETE THE FIGURE.

162 PLAN AND CIRCUMFERENCES THE SAME AS NUMBER 161. THE AID OF A CONCENTRIC CIRCUMFERENCE IS CALLED IN TO FORM THE ROSETTE OF TEN POINTS. THE REST FOLLOWS.

162 PLAN AND CIRCUMFERENCES THE SAME AS NUMBER 161. THE AID OF A CONCENTRIC CIRCUMFERENCE IS CALLED IN TO FORM THE ROSETTE OF TEN POINTS. THE REST FOLLOWS.

162 PLAN AND CIRCUMFERENCES THE SAME AS NUMBER 161. THE AID OF A CONCENTRIC CIRCUMFERENCE IS CALLED IN TO FORM THE ROSETTE OF TEN POINTS. THE REST FOLLOWS.

163 DESCRIBE EQUAL AND TANGENT CIRCUMFERENCES TO FORM A STAR OF TEN POINTS, AND TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS.

163 DESCRIBE EQUAL AND TANGENT CIRCUMFERENCES TO FORM A STAR OF TEN POINTS, AND TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS.

163 DESCRIBE EQUAL AND TANGENT CIRCUMFERENCES TO FORM A STAR OF TEN POINTS, AND TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS.

164 DESCRIBE CIRCUMFERENCES AS INDICATED, AND TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS. DRAW A HORIZONTAL LINE AT THE HIGHER LINE OF THE LITTLE PENTAGON, AND REPEAT THE CONSTRUCTION BELOW THE LINE.

164 DESCRIBE CIRCUMFERENCES AS INDICATED, AND TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS. DRAW A HORIZONTAL LINE AT THE HIGHER LINE OF THE LITTLE PENTAGON, AND REPEAT THE CONSTRUCTION BELOW THE LINE.

164 DESCRIBE CIRCUMFERENCES AS INDICATED, AND TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS. DRAW A HORIZONTAL LINE AT THE HIGHER LINE OF THE LITTLE PENTAGON, AND REPEAT THE CONSTRUCTION BELOW THE LINE.

165 DIVIDE CIRCUMFERENCES AND DRAW PARALLEL LINES AS INDICATED. TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS, AND THE REST FOLLOWS.

165 DIVIDE CIRCUMFERENCES AND DRAW PARALLEL LINES AS INDICATED. TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS, AND THE REST FOLLOWS.

165 DIVIDE CIRCUMFERENCES AND DRAW PARALLEL LINES AS INDICATED. TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS, AND THE REST FOLLOWS.

166 DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS; THEN IN THE CONCENTRIC CIRCUMFERENCES TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS.

166 DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS; THEN IN THE CONCENTRIC CIRCUMFERENCES TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS.

166 DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS; THEN IN THE CONCENTRIC CIRCUMFERENCES TAKE THE DIAGONALS OF SIX IN SIX DIVISIONS.

167 SUB-DIVIDE AS IN PLAN. INSCRIBE THE ROSETTE OF TEN POINTS; THE LITTLE PENTAGONS AND LOZENGES FOLLOW, AND THE REST FOLLOWS.

167 SUB-DIVIDE AS IN PLAN. INSCRIBE THE ROSETTE OF TEN POINTS; THE LITTLE PENTAGONS AND LOZENGES FOLLOW, AND THE REST FOLLOWS.

167 SUB-DIVIDE AS IN PLAN. INSCRIBE THE ROSETTE OF TEN POINTS; THE LITTLE PENTAGONS AND LOZENGES FOLLOW, AND THE REST FOLLOWS.

168 ANALOGOUS TO NUMBER 167, BUT IN PLACE OF THE ROSETTE STARS ARE FORMED.

168 ANALOGOUS TO NUMBER 167, BUT IN PLACE OF THE ROSETTE STARS ARE FORMED.

168 ANALOGOUS TO NUMBER 167, BUT IN PLACE OF THE ROSETTE STARS ARE FORMED.

169 CURVILINEAR TRANSFORMATION OF NUMBERS 167 AND 168. THE POINTS OF CENTRAL DISTRIBUTION ARE MARKED BY MINUTE CROSSES.

169 CURVILINEAR TRANSFORMATION OF NUMBERS 167 AND 168. THE POINTS OF CENTRAL DISTRIBUTION ARE MARKED BY MINUTE CROSSES.

169 CURVILINEAR TRANSFORMATION OF NUMBERS 167 AND 168. THE POINTS OF CENTRAL DISTRIBUTION ARE MARKED BY MINUTE CROSSES.

170 SIMILAR GROUND WORK TO THE THREE FOREGOING DIAGRAMS. THE LITTLE PENTAGONS GOVERN THE DESIGN.

170 SIMILAR GROUND WORK TO THE THREE FOREGOING DIAGRAMS. THE LITTLE PENTAGONS GOVERN THE DESIGN.

170 SIMILAR GROUND WORK TO THE THREE FOREGOING DIAGRAMS. THE LITTLE PENTAGONS GOVERN THE DESIGN.

171 DESCRIBE THE CIRCUMFERENCES AS IN PLAN, AND INSCRIBE THE DECAGONAL STAR. THE SMALL DECAGONS IN THE CENTRE OF THE TRIANGLES OF THE PLAN, BY EXTENDED LINES, FORM THE ROSETTE.

171 DESCRIBE THE CIRCUMFERENCES AS IN PLAN, AND INSCRIBE THE DECAGONAL STAR. THE SMALL DECAGONS IN THE CENTRE OF THE TRIANGLES OF THE PLAN, BY EXTENDED LINES, FORM THE ROSETTE.

171 DESCRIBE THE CIRCUMFERENCES AS IN PLAN, AND INSCRIBE THE DECAGONAL STAR. THE SMALL DECAGONS IN THE CENTRE OF THE TRIANGLES OF THE PLAN, BY EXTENDED LINES, FORM THE ROSETTE.

172 DIVIDE AS IN PLAN. UPON THE LESSER SIDE TRACE AN ISOCELES TRIANGLE. BY THE APEX OF THE TRIANGLE TRACE A CIRCUMFERENCE, IN WHICH TAKE THE DIAGONALS OF THREE IN THREE DIVISIONS.

172 DIVIDE AS IN PLAN. UPON THE LESSER SIDE TRACE AN ISOCELES TRIANGLE. BY THE APEX OF THE TRIANGLE TRACE A CIRCUMFERENCE, IN WHICH TAKE THE DIAGONALS OF THREE IN THREE DIVISIONS.

172 DIVIDE AS IN PLAN. UPON THE LESSER SIDE TRACE AN ISOCELES TRIANGLE. BY THE APEX OF THE TRIANGLE TRACE A CIRCUMFERENCE, IN WHICH TAKE THE DIAGONALS OF THREE IN THREE DIVISIONS.

173 LOZENGE PLAN, WITH COMBINING LINES. THE LOZENGE IS IMAGINARY, AND DOES NOT INDICATE THE RADII IN EXTENSION ONE WITH THE OTHER, BUT ONLY THE ORDER OF SUB-DIVISION OF THE PENTAGONAL AND DECAGONAL ROSETTES.

173 LOZENGE PLAN, WITH COMBINING LINES. THE LOZENGE IS IMAGINARY, AND DOES NOT INDICATE THE RADII IN EXTENSION ONE WITH THE OTHER, BUT ONLY THE ORDER OF SUB-DIVISION OF THE PENTAGONAL AND DECAGONAL ROSETTES.

173 LOZENGE PLAN, WITH COMBINING LINES. THE LOZENGE IS IMAGINARY, AND DOES NOT INDICATE THE RADII IN EXTENSION ONE WITH THE OTHER, BUT ONLY THE ORDER OF SUB-DIVISION OF THE PENTAGONAL AND DECAGONAL ROSETTES.

174 SUB-DIVIDE AS IN PLAN THE SPACE SURROUNDING A POINT INTO TWENTY EQUAL PARTS. AT THE MEETING OF THE HORIZONTAL WITH THE VERTICAL LINE DRAW A CONCENTRIC CIRCUMFERENCE IN WHICH IS INSCRIBED THE STARRED DECAGONAL ROSETTE. THE SMALL PENTAGON IS DOMINANT.

174 SUB-DIVIDE AS IN PLAN THE SPACE SURROUNDING A POINT INTO TWENTY EQUAL PARTS. AT THE MEETING OF THE HORIZONTAL WITH THE VERTICAL LINE DRAW A CONCENTRIC CIRCUMFERENCE IN WHICH IS INSCRIBED THE STARRED DECAGONAL ROSETTE. THE SMALL PENTAGON IS DOMINANT.

174 SUB-DIVIDE AS IN PLAN THE SPACE SURROUNDING A POINT INTO TWENTY EQUAL PARTS. AT THE MEETING OF THE HORIZONTAL WITH THE VERTICAL LINE DRAW A CONCENTRIC CIRCUMFERENCE IN WHICH IS INSCRIBED THE STARRED DECAGONAL ROSETTE. THE SMALL PENTAGON IS DOMINANT.

174 SAME GROUND-WORK AS NUMBER 172, BUT WITH A GREATER INTERVAL BETWEEN THE ROSETTES. ONE OF THE ROSETTES, INSTEAD OF BEING RECTILINEAR, IS CURVILINEAR.

174 SAME GROUND-WORK AS NUMBER 172, BUT WITH A GREATER INTERVAL BETWEEN THE ROSETTES. ONE OF THE ROSETTES, INSTEAD OF BEING RECTILINEAR, IS CURVILINEAR.

174 SAME GROUND-WORK AS NUMBER 172, BUT WITH A GREATER INTERVAL BETWEEN THE ROSETTES. ONE OF THE ROSETTES, INSTEAD OF BEING RECTILINEAR, IS CURVILINEAR.

175 SUB-DIVIDE AS INDICATED. DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS. LASTLY, THE ROSETTES ARE EFFECTED.

175 SUB-DIVIDE AS INDICATED. DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS. LASTLY, THE ROSETTES ARE EFFECTED.

175 SUB-DIVIDE AS INDICATED. DESCRIBE CIRCUMFERENCES EQUAL AND TANGENT, AND TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS. LASTLY, THE ROSETTES ARE EFFECTED.

175’ DRAW CIRCUMFERENCES AND SUB-DIVIDE AS IN PLAN. TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS, WHICH, PROLONGED, COMPLETE THE DESIGN.

175’ DRAW CIRCUMFERENCES AND SUB-DIVIDE AS IN PLAN. TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS, WHICH, PROLONGED, COMPLETE THE DESIGN.

175’ DRAW CIRCUMFERENCES AND SUB-DIVIDE AS IN PLAN. TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS, WHICH, PROLONGED, COMPLETE THE DESIGN.

176 DESCRIBE CIRCUMFERENCES AND TAKE A PERPENDICULAR LINE TO THE BORDER OF THE RADIUS; TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS, WHICH PROLONGED, COMPLETE THE FIGURE.

176 DESCRIBE CIRCUMFERENCES AND TAKE A PERPENDICULAR LINE TO THE BORDER OF THE RADIUS; TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS, WHICH PROLONGED, COMPLETE THE FIGURE.

176 DESCRIBE CIRCUMFERENCES AND TAKE A PERPENDICULAR LINE TO THE BORDER OF THE RADIUS; TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS, WHICH PROLONGED, COMPLETE THE FIGURE.

176’ RECTANGLE PLAN OF DIAGONAL SYMMETRY. TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS. THEN BY A CONCENTRIC CIRCUMFERENCE. SET OUT THE ROSETTE. THERE ARE, IN FACT, THREE ROSETTES OF TEN POINTS EQUAL AND TANGENT.

176’ RECTANGLE PLAN OF DIAGONAL SYMMETRY. TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS. THEN BY A CONCENTRIC CIRCUMFERENCE. SET OUT THE ROSETTE. THERE ARE, IN FACT, THREE ROSETTES OF TEN POINTS EQUAL AND TANGENT.

176’ RECTANGLE PLAN OF DIAGONAL SYMMETRY. TAKE THE DIAGONALS OF FOUR IN FOUR DIVISIONS. THEN BY A CONCENTRIC CIRCUMFERENCE. SET OUT THE ROSETTE. THERE ARE, IN FACT, THREE ROSETTES OF TEN POINTS EQUAL AND TANGENT.

177 LOZENGE PLAN, WITH COMBINING LINES A CONCENTRIC CIRCUMFERENCE DESCRIBES A STAR THE ROSETTE IS THEN DRAWN. THEN GRADUALLY, BY THE AID OF THE PENTAGONAL ADJUSTMENT, THE NET-WORK IS DESCRIBED.

177 LOZENGE PLAN, WITH COMBINING LINES A CONCENTRIC CIRCUMFERENCE DESCRIBES A STAR THE ROSETTE IS THEN DRAWN. THEN GRADUALLY, BY THE AID OF THE PENTAGONAL ADJUSTMENT, THE NET-WORK IS DESCRIBED.

177 LOZENGE PLAN, WITH COMBINING LINES A CONCENTRIC CIRCUMFERENCE DESCRIBES A STAR THE ROSETTE IS THEN DRAWN. THEN GRADUALLY, BY THE AID OF THE PENTAGONAL ADJUSTMENT, THE NET-WORK IS DESCRIBED.

178 LOZENGE PLAN, WHERE THE GREAT AXIS IS THREE TIMES THAT OF THE LESSER AXIS. SUB-DIVIDE AS IN PLAN. TRACE CIRCUMFERENCES EQUAL AND TANGENT, IN WHICH ARE INSCRIBED REGULAR PENTAGONS. THE REST IS EASILY FOLLOWED. THE NET-WORK IS COMPOSED OF FIVE SERIES OF LINES.

178 LOZENGE PLAN, WHERE THE GREAT AXIS IS THREE TIMES THAT OF THE LESSER AXIS. SUB-DIVIDE AS IN PLAN. TRACE CIRCUMFERENCES EQUAL AND TANGENT, IN WHICH ARE INSCRIBED REGULAR PENTAGONS. THE REST IS EASILY FOLLOWED. THE NET-WORK IS COMPOSED OF FIVE SERIES OF LINES.

178 LOZENGE PLAN, WHERE THE GREAT AXIS IS THREE TIMES THAT OF THE LESSER AXIS. SUB-DIVIDE AS IN PLAN. TRACE CIRCUMFERENCES EQUAL AND TANGENT, IN WHICH ARE INSCRIBED REGULAR PENTAGONS. THE REST IS EASILY FOLLOWED. THE NET-WORK IS COMPOSED OF FIVE SERIES OF LINES.

FINIS.

FINIS.

FINIS.


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