| E. M. Reynolds - Geometry - 1868 - 112 pages
...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 - Knowledge - 1871 - 542 pages
...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 - Geometry - 1871 - 58 pages
...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 - Geometry - 1872 - 261 pages
...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 - Student teachers - 1873
...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
...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
...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
...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... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...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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