 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 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 (III. 31). Conversely, if the given triangle be acute-angled, the centre of the circle falls within... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...angle; bu.t the angle iii 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. 11. From a given circle to cut off a segment, which shall contain an angle equal to a given rectilineal... | |
 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...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... | |
 | Euclides - 1856 - 168 pages
...semicircle, less, ; and in a segment less than a semicircle, greater than a right angle. Let ABCD (Fig. 53) be a circle of which the diameter is BC and centre E. Take any line CA dividing the circle into two parts of which ABC is greater and ADC less than a semicircle.... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...right angle ; and an angle in a segment greater than the semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...of the angle at the circumference. B. In any circle the angle in a semicircle is a right angle ; the angle in a segment less than a semicircle is greater than a right angle ; and the angle in a segment greater than a semicircle is less than a right angle. C. For the proof... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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...ABCD be a circle, of which the diameter is BC, and center E. and let CA be drawn, dividing the circle into the segments ABC, ADC. Join BA,AD,DC. Then... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...a right angle ; an angle in a segment greater than a semicircle is less than a right angle; and an angle in a segment less than a semicircle is greater than a right angle. (Th. 8) ; that is, one half of 180°, or 90°, which is the measure of a right angle. If the angle... | |
 | John Paxton Hall - 1860 - 186 pages
...right angle ; but the angle is 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. ABC is a triangle of which the angle A is acute ; show that the square of BC is less than the squares... | |
| |
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. 
