| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...right angles. [Axiom 1. Wherefore, if a side of any triangle Sic. QBD EUCLID'S ELEMENTS. COROLLARY 1. **All the interior angles of any rectilineal figure,...equal to twice as many right angles as the figure has** side?. For any rectilineal figure ABODE can be divided into as many triangles as the figure has sides,... | |
| Mathematical association - 1883
...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 - 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... | |
| Palaestra Oxoniensis - 1884
...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...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) Every... | |
| Euclides - 1884
...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... | |
| Woolwich roy. military acad - 1884
...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,... | |
| Euclides - 1884
...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... | |
| Stewart W. and co - 1884
...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,... | |
| 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... | |
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