 | Euclides - 1838 - 264 pages
...right 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...circle into the segments ABC, ADC, and join BA, AD, DC : the angle in the semicircle BAC shall be a right angle ; and the angle in the segment ABC, which... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...if the centre falls without the triangle, the angle opposite to the 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... | |
 | Euclides - Geometry - 1841 - 378 pages
...rig hi 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...circle into the segments ABC, ADC, and join BA, AD, DC; the angle in the semicircle BAC shall be a right angle; the angle in the segment ABC, which is greater... | |
 | Euclides - 1842 - 316 pages
...right 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 ABC D be a circle, of which the diameter is BC, and centre E ; and draw CA, dividing the circle into... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...if the centre falls without the triangle, the angle opposite to the 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... | |
 | Cambridge univ, exam. papers - 1843 - 50 pages
...angle ; 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 ?... | |
 | Scottish school-book assoc - 1845 - 444 pages
...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 - Geometry - 1845 - 218 pages
...if the centre falls without the triangle, the angle opposite to the 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 acuteangled, the centre of the circle falls within it ; if it... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...right angle ; but the angle in a segment greater than a semicircle is less then a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. Let A BCD be a circle, of which the diameter is BC, and centre E ; draw CA dividing the circle into the... | |
 | Nathaniel Bowditch - 1846 - 854 pages
...arc DKF, that is, by half a semicircle or by a quadrant ; therefore the angle DEF is a right one. An angle in a segment less than a semicircle is greater than a right angle. Thus, if GUI be a segment less than a semi-circle, the arc GKI on which it stands must be greater than... | |
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The angle in a semicircle is a 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. 
