 | Robert Potts - 1868 - 434 Seiten
...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 four right...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 - 172 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 - 838 Seiten
...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 - 606 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 - 284 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... | |
 | Henry Major - 1873 - 588 Seiten
...triangles; that is, together with four right angles. Therefore all the angles of the figure, together witb four right angles, are equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two equal and parallel straight... | |
 | Lewis Sergeant - 1873 - 182 Seiten
...angles (Prop. 9). Proposition 32.— Theorem. The inner angles of a rectilinear figure, with four riyht angles, are equal to twice as many right angles as the figure lMS sides. The figure may be divided into as p many triangles as it has sides, by joining the angular... | |
 | Euclides - 1874 - 342 Seiten
...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 four right...equal to twice as many right angles as the figure has sides. Cor. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
 | Euclides - 1874 - 120 Seiten
...equal to four right angles. Therefore, &c. COROLLARY 2. 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. n For any interior angle ABD, together with its *3 • adjacent exterior angle DBC is equal... | |
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F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 
