| John Playfair - Geometry - 1829 - 210 pages
...diagonals &c. QED PROPOSITION L. THEOREM. All the interior angles of any rectilineal figure arc together **equal to twice as many right angles as the figure has sides,** wanting four right angles'. Let ABCDE be any rectilineal figure; all its interior angles A, B, C, D,... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...together equal to four right angles ; and the sum of its interior angles, together with four right angles, **is equal to twice as many right angles as the figure has sides** . . • 15 (¿•) The area of a rectilineal figure may be obtained by dividing it into triangles,... | |
| Euclid - Euclid's Elements - 1833 - 216 pages
...angle EDN ; therefore the reentrant angle, with the sum of all the other internal and external angles, **is equal to twice as many right angles as the figure has sides,** and to its excess EDN above two right angles : but the internal angles, with four right angles, are... | |
| John Radford Young - Geometry, Modern - 1833 - 240 pages
...interior opposite angle CDE. A•B PROPOSITION XVII. THEOREM. In any polygon the sum of all the angles **is equal to twice as many right angles as the figure has sides,** all but four right angles. For if from the vertices of the several angles, lines be drawn to any point... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...severally capable of being so divided. And because the interior angles of each of such smaller figures are **equal to twice as many right angles as the figure has sides,** diminished by four right angles, (or, which is the same thing, to twice as many right angles as the... | |
| Charles Bonnycastle - Geometry - 1834 - 670 pages
...expressed as the following proposition : "The interior angles of any closed plane figure are together **equal to twice as many right angles as the figure has sides, minus four right angles."** 206. And as a second application of the principle in question, or, which amounts to the same, of the... | |
| Charles Bonnycastle - Geometry - 1834 - 678 pages
...we may refer to the proposition which asserts the interior angles of a plane figure to be equivalent **to twice as many right angles as the figure has sides, minus** two, art. 205. And as conditions exist involving merely the directions of the points, so also we have... | |
| Mathematics - 1835 - 684 pages
...together equal to four right angles ; and the sum of its interior angles, together with four right angles, **is equal to twice as many right angles as the figure has sides** . . . 15 (c) The area of a rectilineal figure may be obtained by dividing it into triangles, having... | |
| Euclid - 1835 - 540 pages
...QED COR. 1. 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.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...equal to the angle B, and the other part DAE is equal to the angle C. i PROPOSITION XXVI. THEORKM. **The sum of all the interior angles 'of a polygon, is equal to** two right angles, taken as many times less two, as the Jigure has sides. Let ABCDEFG be the proposed... | |
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