| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 324 pages
...internal are equal to twice as many 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... | |
| 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... | |
| John Playfair - Euclid's Elements - 1833 - 333 pages
...angles of the figure are equal to twice as many right angles as the figure has sides, wanting four. Con. **2. All the exterior angles of any rectilineal figure...Because every interior angle ABC, with its adjacent** exterior ABD, is equal (13. 1.) to two right angles ; therefore all the interior, together with all... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...and therefore equal to BAE and EAC. Cor. 6. All the internal angles of any rectilineal 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 FE. There are formed... | |
| 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... | |
| Euclid - 1835 - 513 pages
...Wherefore, " if a side of a triangle," &c. 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 ABCDE can be divided into as many triangles as the figure has sides, by... | |
| |