| Peter Nicholson - Mathematics - 1825 - 1046 pages
...common vertex of the triangles : that is, (2. Cor. 15. 1 .) together with four right angles. Therefore **all the angles of the figure, together with four right angles, are equal to twice as many right** angit's as the figure has sides. Cor. 2. All the exterior angles of any rectilineal figure are together... | |
| George Lees - 1826 - 276 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. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side... | |
| 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
...has sides (XXXII) ; but the angles at the point F are equal to four right angles (83) ; and therefore **the angles of the figure, together with four right...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... | |
| John Playfair - Geometry - 1829 - 210 pages
...twice — > -fQ as many right angles as there are sides of the figure. But all the interior angles **together with four right angles are equal to twice as many right angles as** there are sides of the figure (Prop. L). Therefore all the interior and all the exterior angles are... | |
| 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... | |
| 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... | |
| Euclid - Euclid's Elements - 1833 - 216 pages
...and therefore equal to BAE and EAC. Cor. 6. All the internal angles of any rectilineal figure, ABCDE, **together with four right angles, are equal to twice as many right angles as the figure has sides.** Take any point F within the figure, and draw the right lines FA, FB, FC, FD, and FE. There are formed... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...isf equal to two right angles ; all the interior together with all the exterior angles of the figure, **are equal to twice as many right angles as the figure has sides.** But (by Cor. 1 .) all the interior angles are together equal to twice as many right angles as the figure'... | |
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