| 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,... | |
| 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 of one right... | |
| 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... | |
| Thomas Curtis (of Grove house sch, Islington) - 798 pages
...twice u_. 118 119 m.iti) right angles as the figure has sides. Hence (he interior angles of the figure **are equal to twice as many right angles as the figure has sides wanting four** right angles. Car. I. All the interior angle* of a quadrilateral figure are together equal to four... | |
| Thomas Curtis - Aeronautics - 1829 - 814 pages
...figure В С DE ; and the interior angles of that figure, together with four right angles, being also **equal to twice as many right angles as the figure has sides** (Theorem XX.), the angles of the triangles are equal to the interior angles of the plane figure and... | |
| John Playfair - Geometry - 1829 - 210 pages
...xr = (n— 2) x 2r, that is, all the interior angles of any convex rectilineal figure are together **equal to twice as many right angles as the figure has sides** less two sides. " Es. PROPOSITION M. THEOREM. All the exterior angles of any convex rectilineal figure,... | |
| 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... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...and the exterior being equal to four right angles, the interior are equal to two right angles. COB. **2. An exterior angle of any triangle is equal to the...straight lines, which make with a third line the interior** ancles on the same side of it less than two right angles, will meet on that side, if produced far enough.... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...wanting four. For all the smiles exterior and interior are equal to twice as many right angles as th» **figure has sides; but the exterior are equal to four...equal to twice as many right an>gles as the figure** baa sides, wanting four. PROP. II. Two straight lines, which make with a third line the interior angles... | |
| 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... | |
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