| Euclides - 1883 - 96 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... | |
| Euclides - 1884
...the vertex are together equal to four right angles, I. 15 (Cor.). Therefore all the interior angles, **together with four right angles, are equal to twice as many right angles as the figure has sides.** Ax. 1. COROLLARY II. TO PROPOSITION XXXII. All the exterior angles of any rectilineal figure are together... | |
| Woolwich roy. military acad - 1884
...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 the other,... | |
| Euclides - 1884
...many right angles as the figure has sides. But, by the foregoing Corollary, all the interior angles, **together with four right angles, are equal to twice as many right angles as the figure has sides** ; therefore all the interior angles, together with all the exterior angles, are equal to all the interior... | |
| Stewart W. and co - 1884
...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 lines,... | |
| Palaestra Oxoniensis - 1884
...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. (7)... | |
| Mathematical association - 1884
...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, Plane - 1884
...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... | |
| 1885
...that the sum of the interior angles of any rectilineal figure together witli four right angles, is **equal to twice as many right angles as the figure has sides.** 5. Prove that the opposite sides and angles of a parallelogram are equal to one another, and that the... | |
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