 | Mathematical association - 1883 - 86 pages
...triangle the two acute angles are complementary. THEOR. 26. 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. THEOR. 27. The exterior angles of any convex polygon made by producing the sides... | |
 | Euclides - 1883 - 176 pages
...the base and from one another. COB. l.— The sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, minus four right angles. Take any rectilineal figure, as ABCDEF, and take G, any point within it. Join... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...the given line, shew how to draw the perpendicular without producing the given line. 1. Prove that all the interior angles of any rectilineal figure,...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 the other,... | |
 | Palaestra Oxoniensis - 1884 - 204 pages
...made by any number of straight lines meeting in a point are together equal to four right angles. (б) All the interior angles of any rectilineal figure...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. (7)... | |
 | Euclides - 1884 - 214 pages
...right angles. Axiom 1. Therefore, if a side of any triangle &c. QED COROLLARY I. TO PROPOSITION XXXII. All the interior angles of any rectilineal figure,...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 straight... | |
 | 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...twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two equal and parallel straight lines,... | |
 | Euclides - 1884 - 182 pages
...triangles are equal to twice as many right angles as the figure has sides. Therefore all the angles of the figure, together with four right angles, are equal...twice as many right angles as the figure has sides. QED EXERCISE XXXVIII. 1. If a figure be a pentagon, or five-sided, how many right angles make twice... | |
 | 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... | |
 | 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... | |
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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 sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by drawing... 
