| 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 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
...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 - 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... | |
| 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... | |
| E. J. Brooksmith - 1889
...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 - 1890 - 172 sider
...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 - 515 sider
...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 - 1891
...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... | |
| Caleb Pamely - 1891 - 578 sider
...tested by Euclid, for, " The sum of all the interior angles of any rectilinear figure, together with 4 **right angles, are equal to twice as many right angles as the figure has** sides." This is not so thorough a test as the plotting, because it checks only the angles taken and... | |
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