 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.  The Elements of Euclid - Pagina 19door Euclid - 1838 - 416 pagina’sVolledige weergave - Over dit boek
 | Ferdinand Rudolph Hassler - 1828 - 180 pagina’s
...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 pagina’s
...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 - 1829 - 814 pagina’s
...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 pagina’s
...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... | |
 | Euclid - 1833 - 216 pagina’s
...(1): but the angles at the point F are equal to four right angles (2); and therefore the angles of the figure, together with four right angles, are equal...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... | |
 | Thomas Perronet Thompson - 1833 - 168 pagina’s
...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 - 1834 - 670 pagina’s
...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... | |
 | 1835 - 684 pagina’s
...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 - 1835 - 336 pagina’s
...by -f of one right angle. PROP. XXVI. THEOR. All the interior angles of any rectilineal figure, art equal to twice as many right angles as the figure has sides, wanting four right angles. For any rectilineal figure ABCDE can be divided into as many triangles as... | |
 | John Playfair - 1836 - 148 pagina’s
...triangles ; that is (Cor. 2. 3. 1.), together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal...twice as many right angles as the figure has sides. COR. II. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| |
