 | William James Milne - 1899 - 384 σελίδες
...227. Cor. II. An angle inscribed in a semicircle is a right angle. 228. Cor. III. An angle inscribed in a segment greater than a semicircle is less than a right angle. Proposition XVIII 230. Draw a circle and two intersecting chords ; construct an inscribed angle equal... | |
 | Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 σελίδες
...of a tangent to a circle. 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,... | |
 | Edward Brooks - 1901 - 266 σελίδες
...one-half of the semi-circumference AEC (Th. XVIII.). COR. 2 — Any tingle, as ABC, ADC, etc., inscribed in a segment greater than a semi-circle, is less than a right angle. For it is measured by less than onehalf of a semi-circumference. COR. 3. — Any angle, AEC, inscribed... | |
 | 1903
...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 is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. The opposite angles... | |
 | 1903
...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... | |
 | William Dyson Wansbrough - 1903 - 160 σελίδες
...Euclid, which enunciates : — " 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 a semi-circle is greater than a right-angle." The... | |
 | Euclid - 1904 - 456 σελίδες
...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 - 1905 - 222 σελίδες
...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 - 1907
...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 angle in a segment less than a semi-circle is greater than a right angle. The opposite angles... | |
 | University of Allahabad - 1907
...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 angle in a segment less than a semicircle is greater than a right angle. The opposite angles... | |
| |
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. 
