 | Nathaniel Bowditch - 1846 - 854 pages
...AB, are ernial to each other ; for they are all measured by the same arc, viz. half the arc AB. XLII. An angle in a segment greater than a semicircle is less than a right angle. Thus, if ABC be a segment greater than a semicircle, the arc AC on which it stands must be 1еяч than a... | |
 | London univ - 1846 - 326 pages
...(2.) &— xy=48y\ xy— y*=3x J ' (3.) *+— aŤ=0. 9. 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. 10. Inscribe in a... | |
 | Euclides - 1846 - 292 pages
...bisected in DQEF PROP. XXXI. THEOR. In any circle, tJie angle in a semicircle is a right angle, and 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,... | |
 | Great Britain. Committee on Education - Education - 1848 - 514 pages
...the sides of the parallelogram. 3. In a circle, the angle in a semicircle is a right anirlo ; 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. 4. To describe a circle... | |
 | Euclides - 1848 - 52 pages
...equal parts. 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. PROP. XXXII. THEOREM.... | |
 | Great Britain. Council on Education - Education - 1848 - 532 pages
...parallelogram is double of the triansle. 3. In a circle, the angle in a semicircle is a right anile; 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. 4. To describe a circle... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...r of them together. 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 angle. 2. Describe a circle... | |
 | Bengal (India) - 1848 - 520 pages
...together greater than the third side. 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. 8. In equal circles,... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...was to be done. PROP. XXXI. THEOR. 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 A BCD be a.... | |
 | Education - 1850 - 488 pages
...Mention the corollary to this theorem. 2. In a circle, the angle in a semicircle is a right angle; but an 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. 3. Similar triangles... | |
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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. 
