| Charles Hutton - Mathematics - 1812 - 620 pages
...equal to twice as many right angles as the figure has sides. But the sum of all the inward angles, **with four right angles, is equal to twice as many right angles as the** figure has sides (th. 19). Therefore the sum of all the invv.rcl and all the outward angles, is equal... | |
| Thomas Leybourn - Mathematics - 1814 - 420 pages
...Hence, by adopting the notation in the question, we have But the sum of the angles of any polygon being **equal to twice as many right angles as the polygon has sides,** less four; the sum of all the angles of the polygon will be equal to an even number of right angles,... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...equal to twice as many right angles as the figure has sides. But the sum of all the inward angles, **with four right angles, is equal to twice as many right angles as the** figure has sides (th. 19). Therefore the sum of all the inward and all the outward angles, is equal... | |
| John Radford Young - Euclid's Elements - 1827 - 228 pages
...to say, the sum of the angles of the polygon, together with those about the point within . it, are **equal to twice as many right angles as the polygon has sides** ; but those angles which are' about the point, amount to four right angles, (Prop. VI. Cor. 2.) deducting... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...figure (formed by producing its sides) are together equal to four right angles ; and the sum of its **interior angles, together with four right angles, is equal to twice as many right angles as the** figure has sides . . • 15 (¿•) The area of a rectilineal figure may be obtained by dividing it... | |
| Mathematics - 1835 - 684 pages
...figure (formed by producing its sides) are together equal to four right angles ; and the sum of its **interior angles, together with four right angles, is equal to twice as many right angles as the** figure has sides . . . 15 (c) The area of a rectilineal figure may be obtained by dividing it into... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...as the figure has sides, wanting four right angles. Hence, the interior angles plus four right .. -i **angles, is equal to twice as many right angles as the polygon has** aides, and consequently, equal to the sum of the interior angles plus the exterior angles. Taking from... | |
| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...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 many right angles as the polygon has sides,** and consequently, equal to the sum of the interior angles plus the exterior angles. Taking from each... | |
| Adrien Marie Legendre - Geometry - 1838 - 372 pages
...right angles . as the figure has sides, wanting four right angles. Hence, the interior angles plus **four right angles, is equal to twice as many right angles as the polygon has** aides, and consequently, equal to the sum of the interior angles plus the exterior angles. Taking from... | |
| Geometry - 1843 - 376 pages
...the figure has sides, wanting four right angles. Hence, the interior angles plus four right uugles, **is equal to twice as many right angles as the polygon has sides,** and consequently, equal to the sum of the interior angles plus the exterior angles. Taking from each... | |
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