| Euclid - Geometry - 1853 - 136 pages
...internal angles, are equal to twice as many right angles as the figure has sides; but the internal angles, **together with four right angles, are equal to twice as many right angles as the figure has sides** (6); take away from both the internal angles, and the external angles remain, equal to four right angles... | |
| Euclides - Geometry - 1853 - 147 pages
...: that is (i. 15, cor. 2), together 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.** Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right ,ingles.... | |
| Euclides - Geometry - 1853
...the angles of the polygon together with four right angles. But all the angles of the polygon GHKLM **together with four right angles are equal to twice as many right angles as the** polygon has sides (i. 32. Cor. i), that is, as there are plane angles constituting the solid angle... | |
| William Somerville Orr - Science - 1854
...angles of the ßgure, together with Jour right angle», w = twice as many right angles as theßgure ha> **sides. COR. 2. — All the exterior angles of any rectilineal figure are together** = four right angles. Because every interior angle ABC, with its adjacent exterior angle ABD, is = *Pr.... | |
| E.W. Beans - 1854
...taken. If the entire survey has been made as above directed, the sum of all the internal angles will be **equal to twice as many right angles as the figure has sides,** diminished by four right angles. If this sum, as in practice will be likely to be the case, should... | |
| Popular educator - 1854
...equal to twice as many right anales as the figure has sides. Therefore all the angles of the figure **together with four right angles are equal to twice as many right** ung'es as the figure has sides. Corollary 2. All the exterior angles of any rectilineal figure, made... | |
| Charles Davies - Geometry - 1854 - 432 pages
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is **equal to twice as many right angles as the figure has sides,** less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral is equal to two right... | |
| Euclides - 1855
...equal to twice as many right angles as the figure has sides. 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.** СOR. 2. — All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Isaac Sharpless - Geometry - 1879 - 266 pages
...But ACD+ACB = 2R; BAC+ABC+ACB = 2R. Corollary 1.—All the interior angles of a polygon are together **equal to' twice as many right angles as the figure has sides,** minus four right angles. Let ABODE be a polygon, and let n represent the number of its sides. Draw... | |
| Sir Norman Lockyer - Electronic journals - 1880
...the flat angle we may take Theorem XXVI. of the syllabus, that the interior angles of any polygon, **together with four right angles, are equal to twice as many right angles as the figure has sides.** In the new notation we would say that the sum of the interior angles of the polygon is equal to a number... | |
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