 | Euclides - 1853 - 176 pagina’s
...triangle, &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 abСde, can be divided into as many triangles as the figure has sides, by... | |
 | Euclid - 1853 - 176 pagina’s
...parts. COROLLARY 7. All the internal angles of any rectilineal figure (ABCDE), together with four right angles, are equal to twice as many right angles as the figure has sides. DEMONSTRATION. Take any point F within the figure, and draw the straight lines FA, FB, FC, FD, FE.... | |
 | Euclides - 1853 - 146 pagina’s
...2.) together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
 | Popular educator - 1854 - 922 pagina’s
...the angles of the figure (Conit.) ; therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides (Ax. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the exterior angles of any rectilineal... | |
 | Charles Davies - 1854 - 436 pagina’s
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral is equal to two right... | |
 | E. W. Beans - 1854 - 114 pagina’s
...taken. If the entire survey has been made as above directed, the sum of all the internal angles will be equal to twice as many right angles as the figure has sides, diminished by four right angles. If this sum, as in practice will be likely to be the case, should... | |
 | Euclides - 1855 - 270 pagina’s
...right angles as the figure has sides. Therefore all the angles of the figure together with four right angles are equal to twice as many right angles as the figure has sides. СOR. 2. — All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
 | William Mitchell Gillespie - 1855 - 436 pagina’s
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. "... | |
 | 1878 - 534 pagina’s
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two; since the figure can be divided into that number of triangles. Hence this common rule. "... | |
 | Euclides - 1879 - 146 pagina’s
...triangle, &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 figure ABCDE can be divided into as many As as it has sides, by drawing st. lines from a pt.... | |
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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. 
