 | Palaestra Oxoniensis - 1884 - 204 pages
...in a point are together equal to four right angles. (б) 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. (6) All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
 | Stewart W. and co - 1884 - 272 pages
...vertex of the triangles; that is, 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. XXXIII. — The straight lines which join the extremities of two equal and parallel straight... | |
 | Euclides - 1884 - 214 pages
...any triangle &c. QED COROLLARY I. TO PROPOSITION XXXII. 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. Any rectilineal figure can be divided into as many triangles as the figure has sides, by drawing... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...equal to the angles formed by the second pair. THEOR. 36. All the interior angles of any convex polygon together with four right angles are equal to twice as many right angles as the polygon has sides. Let ABCDE be any convex polygon : A then shall all the interior angles of ABCDE... | |
 | Mathematical association - 1884 - 146 pages
...triangles make up the interior angles of the polygon, therefore the interior angles of the polygon together with four right angles are equal to twice as many right angles as the polygon has sides. QED Ex. 45. Prove Theor. 26 by joining one angular point of the polygon to all the... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...perpendicular without producing the given line. 1. Prove that 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. There are two regular polygons, the number of sides of one is double the number of sides of... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...one-third of two right angles, or to 60°. 63. THEOE. 6. All the interior angles of any rectilinieal figure together with four right angles, are equal to twice as many right angles as the figure has sides (Euc. I. 32. Cor. 1). Hence the angles of a regular polygon are each equal to the quotient obtained... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...CBA, BAC, BCA together=two rt. ^s. [Ax. 1. COROLLARY 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. D For any rectl. figure, ABCDE, can be divided into as many As as the figure has sides by drawing... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...angles are together equal to two right angles. 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. Cor. ii.— All the exterior angles of any rectilineal figure are together equal to four right... | |
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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. 
