 | William Mitchell Gillespie - 1868 - 530 síður
...Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. " Calculate... | |
 | Charles Davies, Adrien Marie Legendre - 1869 - 470 síður
...right angles, or A of one right angle. Cor. 4. In any equiangular polygon, any interior angle is equal to twice as many right angles as the figure has sides, less four, divided by the number of angles. PROPOSITION XXVII. THEOREM. The sum of the exterior angles of a polygon... | |
 | William Mitchell Gillespie - 1870 - 552 síður
...Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. " Calculate... | |
 | Woolwich roy. military acad - 1871 - 442 síður
...and the remaining sides can be set off on it. The sum of the interior angles of a polygon is equal to twice as many right angles as the figure has sides less four right angles ; therefore in a polygon of (») sides these angles was obtained by the construction,... | |
 | Adrien Marie Legendre - 1871 - 490 síður
...right angles, or A of one right angle. Cor. 4. In any equiangular polygon, any interior angle is equal to twice as many right angles as the figure has sides, less four right angles, divided by the number of angles. PROPOSITION XXVII. THEOREM. The sum of the exterior... | |
 | Charles Davies - 1872 - 464 síður
...right angles, or | of one right angle. Cor. 4. In any equiangular potygon, any interior angle is equal to twice as many right angles as the figure has sides, less four right angles, divided by the number of angles. PROPOSITION XXVII. THEOREM. The sum of the exterior... | |
 | Benjamin Greenleaf - 1873 - 202 síður
...THEOREM XX. Let ABCDE be any polygon; then the sum of all its interior angles, A, B, C, Z>, E, is equal to twice as many right angles as the figure has sides, less four right angles. For, from any point P within the poly- AB gon, draw the straight lines PA, PB, PC, PD,... | |
 | New York Board of Education, New York (N.Y.). Board of Education - 1873 - 166 síður
...of a triangle is equal to two right angles. '7. The sum of the interior angles of a polygon is equal to twice as many right angles as the figure has sides, less four right angles. 8. The sum of the exterior angles of a polygon is equal to four right angles. 9. Theorems... | |
 | Adrien Marie Legendre - 1874 - 500 síður
...angles, or ± of one righ't angle. Cor. 4. In any equiangular polygon, any interior angle is equal to twice as many right angles as the figure has sides, less four right angles, divided by the number of angles. PROPOSITION XXVII. THEOREM. The sum of the exterior... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 síður
...together are equal to four right angles (I. 10, cor.); therefore the angles of the figure arc equal to twice as many right angles as the figure has sides, less four right angles.— If the figure be a regular polygon, the magnitude of each angle, compared to a right... | |
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add up to twice as many Right angles as the figure has sides, less four. 
