| Peter Nicholson - Mathematics - 1825 - 372 pages
...I). Cor. 1 . All the interior angles of any rectilínea] figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| George Lees - 1826
...all the angles of the figure, together with four right angles ; that is, the angles of the figure are **equal to twice as many right angles, as the figure has sides wanting** four. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side AC in... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...zi. 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 ABCDE, can be divided into as many triangles as the figure has sides, by... | |
| John Radford Young - Euclid's Elements - 1827 - 208 pages
...in each triangle amounts to two right angles, therefore the angles of all the triangles are together **equal to twice as many right angles as the figure has sides,** that is to say, the sum of the angles of the polygon, together with those about the point within it,... | |
| Ferdinand Rudolph Hassler - Electronic book - 1828 - 159 pages
...all the angles of the triangles, there remain all the angles of the poligon, their sum will therefore **be equal to twice as many right angles as the figure has sides wanting** these four right angles; as was to be demonstrated. Carol. 1. When all the sides or all the angles... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 324 pages
...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** (134). Take from both, the internal angles and the external remain equal to four right angles. %* This... | |
| Thomas Curtis - Encyclopedias and dictionaries - 1829
...exterior angle being equal to two right angles (Theorem VI.), all the interior and exterior angles **will be equal to twice as many right angles as the figure has sides,** or equal to the interior angles and four right angles ; therefore the exterior angles are equal to... | |
| Thomas Curtis (of Grove house sch, Islington)
...u_. 118 119 m.iti) right angles as the figure has sides. Hence (he interior angles of the figure are **equal to twice as many right angles as the figure has sides wanting** four right angles. Car. I. All the interior angle* of a quadrilateral figure are together equal to... | |
| John Playfair - Mathematics - 1829 - 186 pages
...xr = (n— 2) x 2r, that is, all the interior angles of any convex rectilineal figure are together **equal to twice as many right angles as the figure has sides** less two sides. " Es. PROPOSITION M. THEOREM. All the exterior angles of any convex rectilineal figure,... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...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 into triangles,... | |
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