| John William Colenso (bp. of Natal.) - 1851
...required. 15. It appears, from Euc. I. 32, Cor. 1, that ' all the interior angles of any rectilineal **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.'** Hence if n be the number of sides of any rectilineal figure, we have the sum of its n angles +4 x 90°=... | |
| sir Henry Yule - 1851
...polygon may be found from the property of such figures, that the sum of the angles of any polygon is **equal to twice as many right angles as the figure has sides,** less four. The following technical terms require explanation : — A Salient Angle is one directed... | |
| Janet Taylor - 1851 - 702 Seiten
...being the two angles made by cne line meeting another. The sum of all the outward and inward angles, is **equal to twice as many right angles as the figure has sides;** but the sum of all the inward angles is equal to twice as man1 right angles as the figure has sides,... | |
| Euclides - 1852
...end of the produced line to the end of the base. COB. 3. All the interior angles of any rectilineal **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclides - 1852
...ACB are equal to two right angles. Con. 1. All the interior angles of any rectilinear figure, BOOK I. **together with four right angles, are equal to twice as many right angles as the figure has sides.** For any rectilinear figure ABODE can be divided into as many triangles as the figure has sides, by... | |
| Charles Davies - 1886 - 334 Seiten
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is **equal to twice as many right angles as the figure has sides.** But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 4) ; and... | |
| Adrien Marie Legendre - 1852 - 436 Seiten
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is **equal to twice as many right angles as the figure has sides,** less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral, is equal to two... | |
| Euclides - 1853 - 146 Seiten
...Wherefore, if a side of any triangle, &c. QED COE. 1. — All the interior angles of any rectilineal **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| Euclides - 1853 - 176 Seiten
...triangles : that is (i. 15, cor. 2), together with four right angles. Therefore all the angles of the **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right ,ingles.... | |
| Euclid - 1853 - 136 Seiten
...internal angles, are equal to twice as many right angles as the figure has sides; but the internal angles, **together with four right angles, are equal to twice as many right angles as the figure has sides** (6); take away from both the internal angles, and the external angles remain, equal to four right angles... | |
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