| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...part BAE is equal to the angle B, and the other part DAE is equal to the angle C (67). THEOREM. 79. **The sum of all the interior angles of a polygon is equal to** as 4 many times two right angles as there are units in the number of sides minus two. Demonstration.... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...to the angle Z?, and the other part DAE is equal to the angle C (67). . J c/ .\ THEOREM. . X ^ 79. **The sum of all the interior angles of a polygon is equal to** as many times two right angles as there are units in the number of sides minus two. Demonstration.... | |
| Adrien Marie Legendre - 1825 - 570 pages
...part BAE is equal to the angk B, and the other part DAE is equal to the angle C (67). THEOREM. 79. **The sum of all the interior angles of a polygon is equal to** as many times two right angles as there are units in the number of sides minus two. Demonstration.... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...I). Cor. 1 . All the interior angles of any rectilínea] 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... | |
| George Lees - 1826 - 266 pages
...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,... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...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... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...Hence it follows, that the sum of all the angles internal and external, including the reentrant angles, **is equal to twice as many right angles as the figure has sides,** together with the excess of every reentrant angle above two right angles. But (134) the sum of the... | |
| Ferdinand Rudolph Hassler - Electronic book - 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
...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... | |
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