| John Radford Young - Euclid's Elements - 1827 - 246 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 - 180 pages
...angles, as AGD, GDE, and so on, standing in equal segments, are equal to one another; and their sum being **equal to twice as many right angles as the figure has sides wanting four:** that is, eight right angles, each of these angles of the hexagon is equal eight sixths of one right... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...COR. 10. — All the internal angles of any rectilinear figure ABCDE, together with four right angles, **are equal to twice as many right angles as the figure has sides.** Take any point F within the figure, and draw the right, lines FA, FB, FC, FD, and F E. There are formed... | |
| Thomas Curtis - Aeronautics - 1829 - 814 pages
...figure В С DE ; and the interior angles of that figure, together with four right angles, being also **equal to twice as many right angles as the figure has sides** (Theorem XX.), the angles of the triangles are equal to the interior angles of the plane figure and... | |
| John Playfair - Geometry - 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 - 584 pages
...is equal to two right angles (2.) ; all the interior angles, together with all the exterior angles, **are equal to twice as many right angles as the figure has** angles. But all the exterior angles are, by the former part of the proposition, equal to four right... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...angles as the figure has sides; but the exterior are equal to four right angles; therefore the interior **are equal to twice as many right angles . as the figure has sides, wanting four.** PROP. II. Two straight lines, which make with a third line the interior ancles on the same side of... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...ABD, isf equal to two right angles ; all the interior together with all the exterior angles of the **figure, are equal to twice as many right angles as the figure has sides.** But (by Cor. 1 .) all the interior angles are together equal to twice as many right angles as the figure'... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...to four right angles (2); and therefore the angles of the figure, together with four right angles, **are equal to twice as many right angles as the figure has sides.** Cor. 7. The external angles of any rectilineal figure are together equal to four right angles. For... | |
| Charles Bonnycastle - Geometry - 1834 - 670 pages
...expressed as the following proposition : "The interior angles of any closed plane figure are together **equal to twice as many right angles as the figure has sides,** minus four right angles." 206. And as a second application of the principle in question, or, which... | |
| |