| 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... | |
| 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... | |
| Euclides - 1833 - 304 pages
...= to two right angles, (prop. 13.) Therefore, all the external angles, with all the internal, are = **to twice as many right angles as the figure has sides ; but** the internal angles, with four right angles, are = to twice as many right angles as the figure has... | |
| 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... | |
| Euclid - 1835 - 540 pages
...interior angle ABC, with its adjacent exterior ABD, is equal b to two right \ b la 1. angles; therefore **all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as** there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... | |
| John Playfair - Euclid's Elements - 1835 - 316 pages
...are equal to all the angles of the figure, together with four right angles, that is, the anhas gles **of the figure are equal to twice as many right angles as the figure** sides, wanting four. COR. 1. All the exterior angles of any rectilineal figure are togethe1" equal... | |
| Mathematics - 1835 - 684 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 - Geometry - 1836 - 114 pages
...interior angle ABC with its adjacent exterior ABD is equal (Cor. 3. 1. 1.) to two right angles ; therefore **all the interior together with all the exterior angles...figure, are equal to twice as many right angles as** there are sides of the figure, that is, by the foregoing Corollary, they are equal to all the interior... | |
| Mathematics - 1836 - 472 pages
...every triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal **figure are equal to twice as many right angles as the figure has sides,** wanting four right anglesť 2. All the exterior angles of any rectilineal figure are to. gether equal... | |
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