 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 - الصفحة 43بواسطة Adrien Marie Legendre - 1852 - عدد الصفحات: 432عرض كامل - لمحة عن هذا الكتاب
 | Charles Hutton - 1811 - عدد الصفحات: 406
...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 - 1812 - عدد الصفحات: 620
...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 - 1814 - عدد الصفحات: 420
...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 - 1822 - عدد الصفحات: 616
...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 - 1827 - عدد الصفحات: 228
...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 - 1830 - عدد الصفحات: 584
...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... | |
 | 1835 - عدد الصفحات: 684
...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 - 1836 - عدد الصفحات: 394
...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 - 1837 - عدد الصفحات: 376
...; 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 - 1838 - عدد الصفحات: 382
...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,... | |
| |
