| Peter Nicholson - Mathematics - 1825 - 372 pages
...interior angle ABC, with it« adjacent exterior ABD, is equal (13. 1.) to two right angles ; therefore **all the interior together with all the exterior angles...figure, are equal to twice as many right angles as** there are sides of the figure j that is, by the foregoing corollary, they are equal to all the interior... | |
| George Lees - 1826 - 266 pages
...has sides, are equal 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. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...interior angle ABC, with its adjaeent exterior ABD, is equal ( 13. t.) to two right angles; therefore **all the interior, together with all the exterior angles of the figure, are equal to** twiee as many right angles as there are sides of the figure ; that is, by the foregoing eorollary,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...interior angle ABC, with its adjacent * 13. 1. exterior ABD, is equal * to two right angles; therefore **all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as** there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior... | |
| John Radford Young - Euclid's Elements - 1827 - 246 pages
...in each triangle amounts to two right angles, therefore the angles of all the triangles are together **equal to twice as many right angles as the figure has sides,** that is to say, the sum of the angles of the polygon, together with those about the point within it,... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 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 - Electronic book - 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... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 pages
...interior angle ABC, with its adjacent exterior ABD, is equal (13. 1.) to two right angles; therefore **all the interior, together with all the exterior angles...the figure, are equal to twice as many right angles** asthere D — . are sides of the figure ; that is, by ^ -\ ' the foregoing corollary, they are equal... | |
| Thomas Curtis - Aeronautics - 1829 - 814 pages
...angles), are equal to 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... | |
| John Playfair - Geometry - 1829 - 186 pages
...angles (Prop. 13); and because there are as many exterior or interior angles as the figure has sides; **all the interior together with all the exterior angles of the figure are equal to twice** — > -fQ as many right angles as there are sides of the figure. But all the interior angles together... | |
| |