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 sum of the exterior angles. Elements of Geometry and Trigonometry - Page 43by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
| Charles Hutton - Mathematics - 1811 - 406 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... | |
| 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
...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
...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
...; 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,...from each the sum of the interior angles, and there** remains the exterior angles, equal to four right angles. PROPOSITION XXVIII. THEOREM. In every parallelogram,... | |
| Adrien Marie Legendre - Geometry - 1838 - 382 pages
...figure has sides, wanting four right angles. Hence, the interior angles plus four right 32 GEOMETRY. **angles, is equal to twice as many right angles as...from each the sum of the interior angles, and there** remains the exterior angles, equal to four right angles. PROPOSITION XXVIII. THEOREM. In every parallelogram,... | |
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