 | Robert Simson - 1838 - 434 páginas
...sides of the triangle, the angle opposite to this side, being 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... | |
 | Euclides - 1838 - 264 páginas
...angle; tut 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... | |
 | Euclides - 1841 - 378 páginas
...triangle, the angle opposite * 31. 3. 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, being in a seg* 31. 3. ment less than a semicircle, is greater* than a right angle: therefore, if the given triangle... | |
 | John Playfair - 1842 - 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 - 1842 - 316 páginas
...angle opposite to this side, being in a semicircle, is a right angle ; and, if the centre falls out of the triangle, the angle opposite to the side beyond which it is, being ia a segment less than a semicircle, is greater than a EUC. B. IV. right angle : wherefore, if the... | |
 | Cambridge univ, exam. papers - 1843 - 50 páginas
...; but the angle in a segment greater than a semi-circle is less than a right angle ; and the angle in a segment less than a semi-circle is greater than a right angle. 3. What sum must be invested in the 3 per cent, stock at 94J, to yield an annual income of £500 ?... | |
 | Euclid - 1845 - 218 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 acuteangled, the centre of the circle falls within it ; if it... | |
 | Euclides - 1845 - 546 páginas
...triangle, the angle opposite to this side, being in a semicircle, (in. 31.) is a right angle; and, if the centre falls without the triangle, the angle...it is, being in a segment less than a semicircle, (in. 31.) is greater than a right angle : therefore, conversely, if the given triangle be acuteangled,... | |
 | Scottish school-book assoc - 1845 - 444 páginas
...and an angle DBA in a segment greater than a semicircle is less than a right angle, and an angle AED in a segment less than a semicircle is greater than a right angle. and v DC=CB, the ZCBD = the ZBDC, .-. the whole .ADB is = the two it DAB and DBA, but the ZFDB is also... | |
 | Euclid, John Playfair - 1846 - 334 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... | |
| |
... in a segment less than a semicircle, is greater than a right angle... 
