 | Edward Atkins - 1874 - 426 pages
...Therefore, the given arc is bisected in DQJE.F. Proposition 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... | |
 | Edward J. Cowling Welch - Machine engineering - 1875 - 244 pages
...the 3rd Book of Euclid's Elements, and stated in the enunciation to be, that " 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... | |
 | Edward Atkins - 1876 - 130 pages
...DB. Therefore, the given arc is bisected in DQEF Proposition 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... | |
 | Education Department,London - 1876 - 1010 pages
...quadrilateral and the opposite exterior angle meet in the circumference. SECTION III. 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... | |
 | Edward Harri Mathews - 1879 - 94 pages
...extremities with the other point of intersection, cut off equal circumferences. 3. In a circle, the angle in a semi-circle is a right 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... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...segment of a circle being given, describe the circle of which it is a segment. 9. 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... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...intercepted without the triangle, between the perpendicular and the obtuse angle. 10. 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...arc DB. Wherefore the given are is bisected at DQEF PROPOSITION 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... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...= half of AC : show that the triangle ADE = three times the triangle ABC. 3. 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... | |
 | 1882 - 486 pages
...rectanglecontained by the whole part, together with the squares on the other part. 3. 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... | |
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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. 
