| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 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... | |
| Ferdinand Rudolph Hassler - Geometry - 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... | |
| John Playfair - Geometry - 1829 - 210 pages
...and the three angles of each triangle are together equal to two right angles (Prop. 32), therefore **all the angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure. But the same angles are equal to the... | |
| Thomas Curtis - Aeronautics - 1829 - 814 pages
...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 - 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... | |
| Euclides - 1833 - 304 pages
...angle. Cor. 6. All the internal angles of any rectilineal figure, together with four right angles, are = **to twice as many right angles as the figure has sides. therefore all** their angles taken together are = to twice as many right angles as the figure has sides, (prop. 32,)... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 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'... | |
| Euclid - Euclid's Elements - 1833 - 216 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... | |
| Euclid - 1835 - 540 pages
...&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... | |
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