| Ferdinand Rudolph Hassler - Electronic book - 1828 - 159 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... | |
| John Playfair - Geometry - 1829 - 186 pages
...twice — > -fQ as many right angles as there are sides of the figure. But all the interior angles **together with four right angles are equal to twice as many right angles as** there are sides of the figure (Prop. L). Therefore all the interior and all the exterior angles are... | |
| Thomas Curtis - Encyclopedias and dictionaries - 1829
...twice as 118 119 липу right angles as the figure has sides. Hence the interior angles of the figure **are equal to twice as many right angles as the figure has sides** wanting four right angles. Cor. 1. All the interior angles of a quadrilateral figure are together equal... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...angle, 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... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...(1): but the angles at the point F are equal to four right angles (2); and therefore the angles of the **figure, together with four right angles, are equal...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... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...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'... | |
| Charles Bonnycastle - Geometry - 1834 - 631 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... | |
| Mathematics - 1835
...angle, 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 - 1835 - 316 pages
...by -f of one right angle. PROP. XXVI. THEOR. All the interior angles of any rectilineal figure, art **equal to twice as many right angles as the figure has sides,** wanting four right angles. For any rectilineal figure ABCDE can be divided into as many triangles as... | |
| John Playfair - Geometry - 1836 - 114 pages
...triangles ; that is (Cor. 2. 3. 1.), 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.** COR. II. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
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