| 1903 - 898 pages
...number of such quadrilateiuls can be drawn. 2. Show that an angle in a semicircle is a right angle, an **angle in a segment greater than a semicircle is less than a** light angle, and an angle in a segment less than a semicircle is greater than a right angle. Two fixed... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...into three, four, or six equal parts. PROPOSITION 31. THEOREM. The angle in a semicircle is a right **angle. The angle in a segment greater than a semicircle is less than a right angle.** The angle in a segment less than a semicircle is greater than a right angle. F, Let ABCD be a circle,... | |
| John Alfred Green - Education - 1905 - 266 pages
...ANGULAR PROPERTIES. THEOREM [ AC.4J. — (i) Any angle In a semi-circle In a right angle, (ii) Any **angle in a segment greater than a semicircle is less than a right angle,** (iii) Any angle in a segment less than a semi-circle is greater than a right angle. In Figs. 290, 291,... | |
| University of Calcutta - Universities and colleges - 1907 - 458 pages
...points on the same side of it, the four points lie on a circle. The angle in a semi-circle is a right **angle ; the angle in a segment greater than a semi-circle...than a semi-circle is greater than a right angle.** The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse.... | |
| University of Allahabad - 1907 - 528 pages
...points on the same side of it, the four points lie on a circle. The angle in a semi-circle is a right **angle, the angle in a segment greater than a semi-circle...less than a semicircle is greater than a right angle.** The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse.... | |
| University of Calcutta - 1907 - 446 pages
...draw the least possible chord. 4 6. In a circle the angle in a semicircle is a right angle, bnt the 8 **angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle.** AB is a fixed diameter of a given circle, and PQ a variable chord of 7 length eqnal to the radius:... | |
| University of Allahabad - 1908 - 566 pages
...points on the same side of it, the four points lie on a circle. . The angle 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** ancrle in a segment less than a semicircle is greater than a light angle. The opposite angles of any... | |
| Henry Raper - Nautical astronomy - 1908 - 1020 pages
...the arc BDC, that is, by a quantity less than half 180° (No. 140), is less than a right angle. 143. **The angle in a segment less than a semicircle is greater than a right angle.** The segment BAG being less than a semicircle, the segment BDC must be greater than a semicircle, and... | |
| Walter Percy Workman - Geometry - 1908 - 228 pages
...vertices are concyclic . . 258 AC. 4. — (i) Any angle in a semicircle is a right angle, (ii) Any **angle in a segment greater than a semicircle is less than a right angle,** (iii) Any angle in a segment less than a semicircle is greater than a right angle .... (Euc. III. 31)... | |
| Mathematics - 1909 - 605 pages
...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 greater than a semicircle...less than a semicircle is greater than a right angle.** The opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse.... | |
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