 | Euclides - 1864 - 262 páginas
...angle opposite to this side, being in a semicircle, (iil. 31.) is a right angle; and, if the center falls without the triangle, the angle opposite to...it is, being in a segment less than a semicircle, (iil. 31.) is greater than a right angle : therefore, conversely, if the given triangle be acute-angled,... | |
 | Euclides - 1864 - 448 páginas
...angle opposite to this side, being in a semicircle, (in. 31.) is a right angle ; and, if the center falls without the triangle, the angle opposite to...it is, being in a segment less than a semicircle, (III. 31.) is greater than a right angle : therefore, conversely, if the given triangle be acute-angled,... | |
 | Henry White - 1864 - 156 páginas
...angle; but the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle. • ALGEBRA. Set to candidates for the Admiralty who selected Algebra as a subject of Examination.... | |
 | Euclides - 1865 - 402 páginas
...centre is in one of the sides of the triangle, the angle opposite to this side is a right angle; and if the centre falls without the triangle, the angle opposite to the side beyond which it is, is greater than a right angle. And conversely if the given triangle be acuteangled the centre of the... | |
 | J. F. H. de Rheims - 1865 - 336 páginas
...angle, but the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. EUCLID, BOOK VI. Prop. 2. — Theorem. If a straight line be drawn parallel to one of the sides of... | |
 | Queensland. Department of Public Instruction - 1866 - 336 páginas
...but that the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. ., 40 PROBLEMS. 10. Pivide a right angle into three equal angles. 11. In the base of a triangle, find... | |
 | Robert Potts - 1865 - 528 páginas
...31.) is a right angle; and if the center falls without the triangle, the angle opposite to the Bide beyond which it is, being in a segment less than a semicircle, (ui. 31.) is greater than a right angle : therefore, conversely, if the given triangle be acuteangled,... | |
 | John Playfair - 1855 - 350 páginas
...semicircle, is a right angle : and if the centre falls without the triangle, the angle opposite to tb« side beyond which it is, being in a segment less than a semicircle, is greater than a right angle. Wherefore, if the given triangle be acute angled, the centre of the circle falls within it ; if it... | |
 | James Robert Christie - 1866 - 428 páginas
...right angle; the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. 3. Triangles, and also parallelograms, having the same altitude, are to one another, &c. 4. If a straight... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...of the triangle, the angle opposite to this side, being in a semicircle, is a right angle ; and when the centre falls without the triangle, the angle opposite...than a semicircle, is greater than a right angle. [III. 31. Therefore, conversely, if the given triangle be acuteangled, the centre of the circle falls... | |
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... in a segment less than a semicircle, is greater than a right angle... 
