 | John Playfair - 1832 - 358 páginas
...triangle, the angle opposite to this side, being in a semicircle, is a right angle: and if the centre fall without the triangle, the angle opposite to the side...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 be... | |
 | Euclides - 1834 - 518 páginas
...triangle, the angle opposite to this side, being in f 31. 3. a semicircle t, is a right angle ; and, if the centre falls without the triangle, the angle opposite to the side beyond which tSI.3. it is, being in a segment less than a semicircle t, is greater than a right angle : therefore,... | |
 | Euclid - 1835 - 540 páginas
...sides of the triangle, the angle opposite to this side, being in a semicircle, is a right angle ; and, if the centre falls without the triangle, the angle...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... | |
 | John Playfair - 1836 - 488 páginas
...sides of the triangle, the angle opposite to this side, being in a, semicircle, is a right angle ; and if the centre falls without the triangle, the angle opposite to the side beyond which it is, beitig iri a segment less than a semicircle, is greater tfyua a right angle. Wherefore, if the given... | |
 | 1836 - 366 páginas
...but 1829 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. 4. If two triangles have the sides about equal angles reciprocally proportional, they are equal. 5.... | |
 | John Playfair - 1836 - 148 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. Let ABCD be a circle, of which the diameter is BC, and centre E ; and draw CA, dividing the circle... | |
 | George Darley - 1836 - 172 páginas
...angle in a segment greater than the semicircle is less than a right angle, ibid. ART. 74. The angle in a segment less than a semicircle is greater than a right angle,ibid. ART. 75. If a tangent and a chord of a circle be drawn from the same point, ths angle between... | |
 | Andrew Bell - 1837 - 290 páginas
...sides of the triangle, the angle opposite to this side, being in a semicircle, is a right angle ; and if the centre falls without the triangle, the angle...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... | |
 | John Playfair - 1837 - 332 páginas
...sides of the triangle, the angle opposite to this side, being in a semicircle, is a right angle : and if the centre falls without the triangle, the angle...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... | |
 | Euclides - 1837 - 112 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. Steps of the Demonstration to Part 1st, That the Z in ^ 0 is a right Z1. Prove that Z EAB = Z ABE ;... | |
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... in a segment less than a semicircle, is greater than a right angle... 
