 | Edward Atkins - 1874 - 428 pages
...the angle in a semicircle is a right angle; but t/ie angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment...than a semicircle is greater than a right angle. Let ABC be a circle, of which BC is a diameter, and E the centre; and draw CA, dividing the circle into... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...QED Cor. 1. (Euc. III. 31). — Hence it follows that an angle in a semicircle is a right angle, an angle in a segment less than a semicircle is greater than a right angle, and an angle in a segment greater than a semicircle is less than a right angle. For the angle AOB at... | |
 | Edward Atkins - 1874 - 426 pages
...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 a semicircle is greater than a right... | |
 | Euclides - 1874 - 342 pages
...arc ADJB 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 a semicircle, is greater than a right... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...(i. 24) Similarly it may be proved that PROPOSITION XVI. 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... | |
 | Edward J. Cowling Welch - Machine engineering - 1875 - 244 pages
...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 a semicircle is greater than a right... | |
 | 1876 - 710 pages
...4. The nngle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right angle, and the angle in a segment...than a semi-circle is greater than a right angle. ALGEBRA. Define Index and Coefficient. 1. Simplify (a* + (ay - Ьх)г. 2. Divide i - УЪХ - x* +... | |
 | Richard Wormell - 1876 - 268 pages
...Л D С В is the supplement of Л DAB. THEOREM XXXV. 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. Let А В be a diameter... | |
 | Education Department,London - 1876 - 1010 pages
...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 a semicircle is greater than a right... | |
 | Edward Atkins - 1876 - 130 pages
...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 a semicircle is greater than a right... | |
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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. 
