 | 1870 - 848 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 120 σελίδες
...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... | |
 | Euclides - 1874 - 342 σελίδες
...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 angles, are 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... | |
 | Edward Atkins - 1874 - 426 σελίδες
...figure, are equal to twice as many right angles as the figure has sides. But all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides (I. 32, Cor. 1) ; Therefore all the interior angles, together with all the exterior angles, are... | |
 | Francis Cuthbertson - 1874 - 400 σελίδες
...vKw, wKu, &c., and are /. together = four right L s. (i. 9) COR. All the interior angles «fa polygon together with four right angles are equal to twice as many right angles as the figure has sides. O For the L NOP of the polygon together with the exterior L UO V makes up two right L s. (i.... | |
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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. 
