| Mathematics - 1801
...;• add all the inward angles A, B, C, &c. together, and when the work is right, their sum will be **equal to twice as many right angles, as the figure has sides,** wanting four right angles. And when there is an angle, as F, that bends inward, and you measure the... | |
| Robert Simson - Trigonometry - 1804
...wherefore if a fide of a triangle, &c. Q^ED . CoR. i. 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** fides. For any reCtilineal figure ABCDE can be divided into as many triangles as the figure has fides,... | |
| Euclid, John Playfair - Circle-squaring - 1804 - 440 pages
...Wherefore^ if a fide of a triangle; &c. C^ED CoR. i. All the interior angles of any reftilmeal figure, **are equal to twice as many right angles as the figure has** fides, wanting four right angles. For any reftilineal figure ABCDE can be divided into as many triangles... | |
| John Playfair - Euclid's Elements - 1806 - 311 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. COR. 2. All the exterior angles of any rectilineal figure are together equal to four... | |
| Charles Hutton - Mathematics - 1807
...work ; add all the inward angles A, B, c, &c, together ; for when the work is right, their sum will ba **equal to twice as many right angles as the figure has sides,** wanting 4 right angles. But when there is an angle, as F, that bends inwards, and you measure the external... | |
| Sir John Leslie - Geometry, Analytic - 1809 - 524 pages
...interior one AED, is equal to two right angles. All the exterior angles therefore, added to the interior **angles, are equal to twice as many right angles as the figure has sides.** Consequently the exterior angles are equal to the four right angles which, by the last Proposition,... | |
| Sir John Leslie - Geometry, Plane - 1809 - 493 pages
...is equal to two right angles. All the exterior angles therefore, added to the interior angles, ftre **equal to twice as many right angles as the figure has sides.** Consequently the exterior angles are equal to the four right angles which, by the last Proposition,... | |
| Charles Hutton - Mathematics - 1811
...triangles, is equal to two right angles (th. 17); therefore the sum of the angles of all the triangles is **equal to twice as many right angles as the figure has sides.** But the sum of all the angles about the point P, which are so many many of the angles of the triangles,... | |
| Euclides - 1816 - 528 pages
...Wherefore if a side of a triangle, &c. 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... | |
| John Playfair - 1819 - 317 pages
...have any number of sides, the proposition is demonstrated just as in the case of a triangle. Therefore **all the exterior angles of any rectilineal figure are together equal to four right angles.** QED COR. 1. Hence, all the interior angles of any triangle are equal to two right angles. For all the... | |
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