| Commissioners of National Education in Ireland - Measurement - 1837 - 262 pages
...you go along, as also the angles. angles, A, B, C, &c. of the figure together, and their sum must be **equal to twice as many right angles as the figure has sides,** wanting four right angles. But when the figure has a re-enterant angle, as F, measure the external... | |
| Euclides - 1838
...are ti AX equal t to two right angles. Wherefore, if a side of a triangle, &c. o. E. i,. COn. 1. — **All the interior angles of any rectilineal figure,...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... | |
| Euclides - 1840
...two right angles. All the angles, therefore, of the triangles into which the AE figure is divided, **are equal to twice as many right angles as the figure has sides.** But of these, the angles round the point F are equal to four right angles (Prop. 13, cor.) : if these... | |
| Dionysius Lardner - Curves, Plane - 1840 - 314 pages
...supplement of its adjacent external angle, the internal and external angles, taken together, will be **equal to twice as many right angles as the figure has sides** ; but, from what has been already shown, the external angles alone are equal to four right angles.... | |
| Euclides - Geometry - 1841 - 351 pages
...ACB, * i Ax. are also equal* to two right angles. Wherefore, if a side of a triangle, &c. QED COR. 1. **All the interior angles of any rectilineal figure,...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... | |
| Euclides - 1842
...when the adjacent angles are equal to one another, each of them is a right angle (10. Def.). COR. 1. **All the interior angles of any rectilineal figure,...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 Playfair - Euclid's Elements - 1842 - 317 pages
...as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior **are equal to twice as many right angles as the figure has sides,** wanting four. PROP. II. Two straight lines, which make with a third line the interior angles on the... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...two regular polygons, having the same number of sides. The sum of all the angles in each figure is **equal to twice as many right angles as the figure has sides,** less four right angles (BI A{ Prop. 13), and as the number of sides is the same in each figure, the... | |
| Euclides - 1845
...equal to two right angles, (ax. 1.) Wherefore, if a side of any triangle be produced, &c. . QED COR. 1. **All the interior angles of any rectilineal figure...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, James Thomson - Geometry - 1845 - 352 pages
...therefore also the angles CBA, BAC, ACB are equal to two right angles. Wherefore, if a side, &c. Cor. 1. **All the interior angles of any rectilineal figure,...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... | |
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