| 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
...to all the angles of the figure, together with four right angles: that is, the angles of the figure are equal to twice as many right angles as the figure has sides, wanting four. Therefore, all the interior angles &.<•QED Com. All the interior angles of any quadrilateral... | |
| 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... | |
| 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... | |
| Euclides - 1833 - 304 σελίδες
...= 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 sides;... | |
| Thomas Perronet Thompson - 1833 - 168 σελίδες
...demonstrated. COR. 1 . All the interior angles of any plane rectilinear figure that incloses a space, are equal to twice as many right angles as the figure has sides, diminished by four right angles. For First; if the figure is one, as ABCDE, that can be divided into... | |
| 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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