 | Euclid, Dionysius Lardner - 1828 - 542 σελίδες
...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 - 1828 - 180 σελίδες
...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 - 1829 - 210 σελίδες
...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 - 1829 - 814 σελίδες
...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 - 1830 - 584 σελίδες
...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 σελίδες
...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 - 1833 - 168 σελίδες
...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 - 1833 - 216 σελίδες
...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 - 1834 - 670 σελίδες
...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 σελίδες
...&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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... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles. 
