| John Playfair - Geometry - 1836 - 148 pages
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** COR. II. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Mathematics - 1836 - 488 pages
...triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure are **equal to twice as many right angles as the figure has sides,** wanting four right anglesť 2. All the exterior angles of any rectilineal figure are to. gether equal... | |
| Charles Reiner - Geometry - 1837 - 254 pages
...the common vertex of these triangles = 4 rt. /.s; therefore, the sum 01 the interior angles of any **polygon is equal to twice as many right angles as the figure has sides** less [minus] four. M.—If the number of sides be three, four, five, six, seven, &c., what is the sum... | |
| Benjamin Peirce - Geometry - 1837 - 216 pages
...exterior angle BCD is equal to the sum of the two opposite interior angles A and C. :':71. Theorem. **The sum of all the interior angles of a polygon is equal to** as many times two right angles as it has sides minus two. • . Demonstration. Let ABODE, &-c. (fig.... | |
| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...equal to two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVI.) ; that **is, equal to twice as many right angles as the figure has sides,** wanting four right angles. Hence, the interior angles plus four right angles, is equal to twice as... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...resolved into as many triangles as the figure has sides ; the sum total of their angles is, therefore, **equal to twice as many right angles as the figure has sides.** Now, the sum of the angles about the common vertex of these triangles = 4 rt. /.s; therefore, the sum... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...&c. 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... | |
| Commissioners of National Education in Ireland - Measurement - 1837 - 284 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... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** Let the sum of the interior angles be denoted by I, the number of sides by n, and a right angle by... | |
| Adrien Marie Legendre - Geometry - 1838 - 376 pages
...equal to the angle B, and the other part DAE is equal to the angle C. PROPOSITION XXVI. THEOREM. Tile **sum of all the interior angles of a polygon, is equal to** two right angles, taken as many times less two, as the figure has sides. Let ABCDEFG be the proposed... | |
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