| Charles Bonnycastle - 1834 - 631 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
...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 - 316 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 - 114 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.... | |
| 1836 - 472 pagina’s
...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 angles» 2. All the exterior angles of any rectilineal figure are to. gether equal... | |
| Andrew Bell - 1837 - 240 pagina’s
...right angles (1. 13) ; therefore also the angles CBA, BAC, ACB, are equal to two right angles. COR. **1. — All the interior angles of any rectilineal...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... | |
| Charles Reiner - 1837 - 215 pagina’s
...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... | |
| 1837 - 262 pagina’s
...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... | |
| Adrien Marie Legendre - 1837 - 329 pagina’s
...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... | |
| Euclides - 1838
...«2cor is i "le triangles; that is,* 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.** COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
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