| Horatio Nelson Robinson - 1860 - 470 pages
...triangles is equal to two right angles, (Th. 11) ; and the sum of the angles of all the triangles must be **equal to twice as many right angles as the figure has sides.** But the sum of these angles contains the sum of four right angles about the point p ; taking these... | |
| William Schofield Binns - 1861 - 238 pages
...Euc. I., 32, Cor. 1, "All the angles of any rectilineal figure, together with four right angles, are **equal to twice as many right angles as the figure has sides."** From this corollary, we can deduce a formula for finding the angle of any polygon. Let x equal the... | |
| Benjamin Greenleaf - 1862 - 532 pages
...therefore, deducting the sum of the angles about the point, there remain the angles of the polygon **equal to twice as many right angles as the figure has sides,** less four right angles. 103. Cor. 1. The sum of the angles in a quadrilateral is equal to four right... | |
| Benjamin Greenleaf - 1862 - 518 pages
...therefore, deducting the sum of the angles about the point, there remain the angles of the polygon **equal to twice as many right angles as the figure has sides,** less four right angles. 103. Cor. 1. The sum of the angles in a quadrilateral is equal to four right... | |
| Euclides - 1862 - 140 pages
...angles. (I. 15, cor. 2.) 6. 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.** Corollary. — 2. All the exterior angles of any rectilineal figure are together equal to four right... | |
| Henry S. Merrett - 1863 - 476 pages
...proved by the foregoing corollary that all the interior angles, together with the four right angles, are **equal to twice as many right angles as the figure has sides.** Therefore all the interior angles, together with all the exterior angles, are equal to all the interior... | |
| Euclides - 1863 - 122 pages
...together with four right angles. But it has been proved that all the angles of these triangles are **equal to twice as many right angles as the figure has sides.** Therefore all the angles of the figure together with fyur right angles are equal to twice as many right... | |
| Henry S. Merrett - 1863 - 428 pages
...proved by the foregoing corollary that all the interior angles, together with the four right angles, are **equal to twice as many right angles as the figure has sides.** Therefore all the interior angles, together with all the exterior angles, are equal to all the interior... | |
| Benjamin Greenleaf - 1863 - 504 pages
...therefore, deducting the sum of the angles about the point, there remain the angles of the polygon **equal to twice as many right angles as the figure has sides,** less four right angles. 103. Cor. 1. The sum of the angles in a quadrilateral is equal to four right... | |
| James Maurice Wilson - 1878 - 450 pages
...angles ; (Th. 4. Cor.) therefore all the angles of the polygon, together with four right angles, are **equal to twice as many right angles as the figure has sides** ; that is, all the angles of the polygon are together less than twice as many right angles as the figure... | |
| |