| Robert Simson - Trigonometry - 1827 - 546 pages
...triangle, &c. Q. E, zi. 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... | |
| John Radford Young - Euclid's Elements - 1827 - 246 pages
...in each triangle amounts to two right angles, therefore the angles of all the triangles are together **equal to twice as many right angles as the figure has sides,** that is to say, the sum of the angles of the polygon, together with those about the point within it,... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...equal to four right angles (83) ; and therefore the angles of the figure, together with four right **angles, are equal to twice as many right angles as the figure has sides.** This is the first corollary in the Elements, and the following is the second. (135) COR. 11. — The... | |
| Ferdinand Rudolph Hassler - Geometry - 1828 - 180 pages
...angles, as AGD, GDE, and so on, standing in equal segments, are equal to one another; and their sum being **equal to twice as many right angles as the figure has sides** wanting four: that is, eight right angles, each of these angles of the hexagon is equal eight sixths... | |
| Thomas Curtis - Aeronautics - 1829 - 814 pages
...twice as 118 119 липу right angles as the figure has sides. Hence the interior angles of the figure **are equal to twice as many right angles as the figure has sides** wanting four right angles. Cor. 1. All the interior angles of a quadrilateral figure are together equal... | |
| John Playfair - Geometry - 1829 - 210 pages
...to all the angles of the figure, together with four right angles: that is, the angles of the figure **are equal to twice as many right angles as the figure has sides,** wanting four. Therefore, all the interior angles &.<•QED Com. All the interior angles of any quadrilateral... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...angle, is equal to two right angles (2.) ; all the interior angles, together with all the exterior **angles, are equal to twice as many right angles as the figure has** angles. But all the exterior angles are, by the former part of the proposition, equal to four right... | |
| Euclides - 1833 - 304 pages
...= to two right angles, (prop. 13.) Therefore, all the external angles, with all the internal, are = **to twice as many right angles as the figure has sides ; but the internal angles,** with four right angles, are = to twice as many right angles as the figure has sides; take away from... | |
| Euclid - Euclid's Elements - 1833 - 216 pages
...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** (2) ; take away from both the internal angles, and the external angles remain equal to four right angles... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...demonstrated. COR. 1 . All the interior angles of any plane rectilinear figure that incloses a space, **are equal to twice as many right angles as the figure has sides,** diminished by four right angles. For First; if the figure is one, as ABCDE, that can be divided into... | |
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