 Angles in the same segment of a circle are equal ; and, if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle. The angle in a semicircle is a right angle ; the angle in a segment...  New Examination Statutes - Page 34by University of Oxford - 1915Full view - About this book
 | Mathematics - 1965 - 232 pages
...through the centre of the circle. Theorem 12. (Converse to Theorem 11, Corollary 2.) If the straight line joining two points subtends equal angles at two...other points on the same side of it, the four points are concydic. Given. P and Q are two points on the same side of AB, such that LAPB^LAQB. Reqd. To prove... | |
 | University of Bombay - 1911 - 1028 pages
...on the remaining part of the circumference. Angles in the same segment of a circle are equal ; and if the line joining two points subtends equal angles at two other points on the same side of it, the tour points lie on a circle. The angle in a semicircle ie a right angle ; the angle in a segment greater... | |
 | University of Bombay - 1907 - 328 pages
...the squares on the three sides is equal to four times the sum of the squares on the three medians. 6. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is lens than a right angle ; and the angle in a segment less than a semicircle is greater than a right... | |
 | V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...corollary. Corollary The angle in a semicircle is always 90°. Q Theorem 7 If a straight line segment joining two points subtends equal angles at two other points on the same side of it, then the four points are concyclic. { We say that four points are concyclic if there is a circle passing... | |
 | University of Cambridge - 1907 - 1636 pages
...the remaining part of the circumference. Angles ill tile same segment of a circle are equal ; and, if the line joining two points subtends equal angles at two other points on the same siile of it, the four points lie on a circle. The angle in a semicircle is a right angle ; the angle... | |
| |
