| Euclides - 1852 - 48 pages
...produced be equal to the base, and joining the end of the produced line to the end of the base. COB. 3. **All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides.** COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclides - 1852 - 152 pages
...that is a , together with four right angles. . 2 Cor Therefore all the angles of the figure, XT - *• **together with four right angles, are equal to twice as many right angles as the figure has sides.** [The triangle furnishes an instance of this, for all its angles are together equal to two right angles;... | |
| Education - 1852 - 512 pages
...EUCLID. SECTION I. — 1. The angles at the base of an isosceles triangle are equal to each other. 2. **All the interior angles of any rectilineal figure,...together with four right angles, are equal to twice** us many right angles as the figure has sides. 3. To a given straight line to apply a parallelogram... | |
| Charles Davies - Geometry - 1886 - 340 pages
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is **equal to twice as many right angles as the figure has sides.** But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 4) ; and... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...also the angles CBA, BAC, ACB, are equal to two right angles. Wherefore, if a side of a triangle, etc. **QED COR. 1. All the interior angles of any rectilineal...with four right angles, are equal to twice as many** D right angles as the figure has sides. E.«=^lT"\~~-^, \ 4C-\ For any rectilineal figure ABCDE can... | |
| Euclides - Geometry - 1853 - 176 pages
...triangles : 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...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 - 1853 - 146 pages
...triangles; 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...twice as many right angles as the figure has sides.** COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclid - Geometry - 1853 - 176 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 - 334 pages
...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... | |
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