 | Euclides - 1884 - 182 σελίδες
...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 to 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... | |
 | 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... | |
 | 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... | |
 | E. J. Brooksmith - 1889 - 356 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 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 - 252 σελίδες
...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 - 538 σελίδες
...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 - 160 σελίδες
...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 - 666 σελίδες
...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... | |
 | Euclid, John Bascombe Lock - 1892 - 188 σελίδες
...an isosceles triangle. LE 8 118. Corollary 1. All the interior angles of a closed rectilineal figwe together with four right angles are equal to twice as many right angles as the figure has sides. Let ABCDE... represent any rectilineal figure. Take a point P within the figure. Join P to each... | |
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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. 
