 | Euclides - 1862 - 172 σελίδες
...bIsected in D. PROP. XXXI.— THEOREM. In a circle, the angle 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. (References — Prop.... | |
 | Robert Potts - 1863 - 482 σελίδες
...parallel to two sides of AB CD. 4. In a circle, the angle 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. The circumferences... | |
 | Henry White - 1864 - 156 σελίδες
...which shall touch a given circle. 7. In a circle, the angle 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. • ALGEBRA. Set to... | |
 | Euclides - 1864 - 448 σελίδες
...in DQEF PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircte 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,... | |
 | Euclides - 1865 - 402 σελίδες
...D. QEF 117 PROP. XXXI.— THEOREM. In a circle, the angle 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. (References— Prop.... | |
 | J. F. H. de Rheims - 1865 - 336 σελίδες
...bisect it. Prop. 31. — Theorem. In a circle, the angle 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, BOOK VI. Prop.... | |
 | Queensland. Department of Public Instruction - 1866 - 336 σελίδες
...it on the inside or outside. 9. Prove that the angle in a semicircle is a right angle ; but that 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. ., 40 PROBLEMS. 10.... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...bisected at DQEF PKOPOSITION 31. THEOREM. In a circle the angle 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,... | |
 | Edinburgh univ - 1868 - 334 σελίδες
...MATHEMATICS. 22af October 1867. 1. In a circle, the angle 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. 2. Of two straight... | |
 | Robert Johnston (F.R.G.S.) - 1869 - 196 σελίδες
...which shall touch a given circle. 7. In a circle, the angle 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. ALGEBRA. I. Specimen... | |
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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. 
