| Euclid - 1835 - 540 pages
...&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... | |
| Mathematics - 1835
...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... | |
| Mathematics - 1836 - 472 pages
...triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure **are equal to twice as many right angles as the figure has sides, wanting four right anglesť** 2. All the exterior angles of any rectilineal figure are to. gether equal to four right angles. XXXIII.... | |
| John Playfair - Geometry - 1836 - 114 pages
...proved. COR. I. 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... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...taken as many times, less two, as the polygon has sides (Prop. XXVI.) ; that is, equal to twice ay **many right angles as the figure has sides, wanting four right angles.** Hence, the interior angles plus four right .. -i angles, is equal to twice as many right angles as... | |
| Commissioners of National Education in Ireland - 1837
...you go along, as also the angles. angles, A, B, C, &c. of the figure together, and their sum must be **equal to twice as many right angles as the figure has sides, wanting four right angles.** But when the figure has a re-enterant angle, as F, measure the external angle, which is less than two... | |
| Adrien Marie Legendre - Geometry - 1837 - 359 pages
...two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVI.) ; that is, **equal to twice as many right angles as the figure has sides, wanting four right angles.** Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon... | |
| Euclid - Geometry - 1837 - 410 pages
...side, &c. 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... | |
| Charles Reiner - Geometry - 1837 - 254 pages
...vertex of these triangles = 4 rt. /.s; therefore, the sum 01 the interior angles of any polygon is **equal to twice as many right angles as the figure has sides** less [minus] four. M.—If the number of sides be three, four, five, six, seven, &c., what is the sum... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...angles. 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** be divided into as many triangles as the figure has sides, by drawing straight lines from a point F... | |
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