 | Joseph Hughes - 1883 - 568 σελίδες
...generally understood abbreviations for words may be used.] 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. See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be equal to seven... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...of any triangle Sic. QBD EUCLID'S ELEMENTS. COROLLARY 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 side?. For any rectilineal figure ABODE can be divided into as many triangles as the figure has sides,... | |
 | Mathematical association - 1883 - 86 σελίδες
...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 σελίδες
...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... | |
 | Stewart W. and co - 1884 - 272 σελίδες
...the point F, which is the common vertex of the triangles; that is, together with four right angles. Therefore all the angles of the figure, together with...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 - 214 σελίδες
...any triangle &c. QED COROLLARY I. TO PROPOSITION XXXII. All the interior angles of any rectilineal figure, together with four right angles, are equal...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 - 148 σελίδες
...perpendicular without producing the given line. 1. Prove that all the interior angles of any rectilineal figure, together with four right angles, are equal...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 σελίδες
...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. (7)... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 σελίδες
...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 σελίδες
...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... | |
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... twice as many 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. 
