 | Euclides - 1853 - 146 pàgines
...in a semicircle is a 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 ABCD be a circle, of which the diameter is BC, and centre E ; and draw CA dividing the circle into... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...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 - 1853 - 176 pàgines
...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 - 1853 - 334 pàgines
...semicircle shall be a right angle ; the angle in a segment greater than a semicircle shall be less than a right angle ; and the angle in a segment less than a semicircle shall be greater than a right angle. Let ABC be a circle, and from one of the extremities c of any... | |
 | Thomas Lund - 1854 - 520 pàgines
...right angle; / BAD 'in a segment' greater than a semi-circle is less than a right angle, and / BCD ' in a segment' less than a semi-circle is greater than a right angle. Join 0D; then since OA = OD, / OAD= L ODA (26) ; and since OB=OD, / OBD = t ODB, .-. / ADB= t OAD +... | |
 | John Playfair - 1855 - 334 pàgines
...parts. PROP. XXXI. THEOR. O * In a circle, the angle in a semicircle is a right angle ; but the angle tn a segment greater than a semicircle is less then a...CA dividing the circle into the segments ABC, ADC, an<J join BA, AD, DC ; the angle in the semicircle BAC is a right angle ; and the angle in the segment... | |
 | Great Britain. Committee on Education - 1855 - 976 pàgines
...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. 8. To inscribe a circle in a given square. ALGEBRA. — (SECOND SECTION.) 1. Add together — (a +... | |
 | Euclides - 1855 - 270 pàgines
...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 (III. 31). Conversely, if the given triangle be acute-angled, the centre of the circle falls within... | |
 | Cambridge univ, exam. papers - 1856 - 200 pàgines
...in a semicircle is a 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. EUCLID (B). 1. DEFINE a line, a superficies, and the centre of a circle. 2. Upon the same base, and... | |
 | Peter Nicholson - 1856 - 518 pàgines
...angle BAD, in a segment greater than a semi-circle, is less than a right angle ; and an angle, BED, in a segment less than a semi-circle, is greater than a right angle. Produce AB to F, draw В C to the centre, and, because CA is equal to CB, the angle CBA is equal to... | |
| |
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. 
