| Euclid, Isaac Todhunter - 1867 - 426 Seiten
...triangles, that is, together with four right angles. [I. 15. Corollary 2. Therefore all the interior **angles of the figure, together with four right angles,...equal to twice as many right angles as the figure has** sides. COROLLARY 2. All the exterior angles of any rectilineal figure are together equal to four right... | |
| William Thomas Brande, George William Cox - 1867
...polygons, the first corollary to his prop. 32, book i. (according to which all the interior angles, **together with four right angles, are equal to twice as many right angles as the figure** hns sides), is also true for concave polygons. His second corollary, however, according to which the... | |
| Euclid, Isaac Todhunter - 1867 - 424 Seiten
...Wherefore, if a side of any triangle &c. Q EB COROLLARY 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal to twice as many right angles as** thejigure has side.". For any rectilineal figure ABCDE can be divided into as many triangles as the... | |
| William Thomas Brande, George William Cox - 1867
...polygons, the first corollary to his prop. 32, book i. (according to which all the interior angles, **together with four right angles, are equal to twice as many right angles as** tie figure has sides), is also true for concave polygons. His second corollary, however, according... | |
| Robert Potts - 1868 - 410 Seiten
...that the angles of the triangles are equal to twice as many right angles as the figure has sides ; **therefore all the angles of the figure together with...equal to twice as many right angles as the figure has** sides. COB. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| E. M. Reynolds - 1868 - 112 Seiten
...angles are together equal to twice as many right "angles as the figure has sides. , Hence the interior **angles are equal to twice as many right angles as the figure has** sides, diminished by four right angles. COR. The exterior angle of any regular polygon of n sides is... | |
| 1870
...hours a day. Geometry and Mensuration. — 1. Show that all the interior angles of any rectilineal **figure together with four right angles, are equal to twice as many right angles as the figure has** sides. (12 marks). 2. Enunciate and prove the 32nd proposition of the First Book of Euclid's Elements.... | |
| Hippolyte Taine - 1871 - 542 Seiten
...together equal to four right angles ; hence it follows that the polygon contains a number of angles which, **together with four right angles, are equal to twice as many right angles as** there are sides. — Here the explanatory intermediate is a character comprised in all the elements... | |
| Elias Loomis - 1871 - 302 Seiten
...F, that is, together with four right angles (Prop. V., Cor. 2). Therefore the angles of the polygon **are equal to twice as many right angles as the figure has** sides, wanting four right angles. Cor. 1. The sum of the angles of a quadrilateral is foui right angles... | |
| Euclid - 1872 - 261 Seiten
...internal, are equal to twice as many right angles as there are sides of the figure ; but the internal **with four right angles, are equal to twice as many right angles as** there are sides of the figure (by Cor. 6) ; take away from both the internal angles, and, the external... | |
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