| Charles William Hackley - Geometry - 1847 - 248 pages
...being equal to the same in another, the triangles are equal. THEOREM XVI. The sum of all the inward **angles of a polygon is equal to twice as many right angles,** wanting four, as the figure has sides. Let ABODE be any figure ; then the sum of all its inward angles,... | |
| Education - 1847 - 508 pages
...SECTION I. — 1. All the interior angles of any rectilineal figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts, are between... | |
| Euclid - 1848 - 52 pages
...angles. COR. 1. All the interior angles of any rectilineal figure together with four right angles, are **equal to twice as many right angles as the figure has sides.** COB. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...angles is one third of two right angles, or two thirds of one right angle. PROPOSITION XXVIII. THEOREM. **The sum of all the interior angles of a polygon, is equal to twice as many right angles,** wanting four, as the figure has sides. angles of each of these triangles, is equal to two right angles... | |
| Charles Davies - Trigonometry - 1849 - 384 pages
...is equal to the angle B, and the other part DAE is equal to the angle C. PROPOSITION XXVI. THEOREM. **The sum of all the interior angles of a polygon, is equal to** two right angles, taken as many times less two, as the figure has sides. Let ABCDEFG be the pioposed... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...QED COR. 1. All the interior angles of any rectilineal figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** For any rectilineal figure ABODE can be divided into as many triangles as the figure has sides, by... | |
| Thomas Baker - Railroads - 1850 - 244 pages
...considerable distance, there has been an error either in taking the angles or measuring the lines. But since **the sum of all the interior angles of a polygon is...twice as many right angles as the figure has sides,** lessened by four right angles, and since the given figure has five sides, the sum of all its five interior... | |
| Charles Davies - Geometry - 1850 - 218 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. 3) ; and... | |
| Charles Davies - Geometry - 1850 - 236 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. 3) ; and... | |
| Her MAjesty' Inspectors of schools - 1850 - 912 pages
...Section I. 1. All the interior angles of any rectilineal figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** 2. If the square described upon one side of a triangle be equal to the sum of the squares described... | |
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