 | 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... | |
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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. 
