 | 1889 - 584 pages
...point without a circle a straight line touching the circle. 9. 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. ENGLISH. The Board qf Examiner*. Vote.— Fay particular attention to the spelling: and punctuation... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...that the chords so intercepted in each circle may be equal. 7. 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. When are segments of circles said to be similar? If two circles touch each other externally, any straight... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...(See Ex. 347.) PROPOSITION 31. THEOREM. In a circle the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle...semicircle is greater than a right angle. Let ABCD be a 0 of which BC is a diamr. and E the centre, and let CA be drawn dividing the 0 into segts. ABC, ADC.... | |
 | Euclid - Geometry - 1892 - 460 pages
...part of the circumference, of a circle. PROPOSITION 31. THEOREM. Tlie amJle in a semicircle is a right angle : the angle in a segment greater than a semicircle...than a right angle. Let ABCD be a circle, of which BC is a diameter, and E the centre; and let AC be a chord dividing the circle into the segments AB(3,... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...in a segment greater than a semicircle is lens than a right angle. 229. Cor. IV. An angle \nscribed in a segment less than a semicircle is greater than a right angle. Proposition XVIII 230. Draw a circle and two intersecting chords ; construct an inscribed angle equal... | |
 | William James Milne - Geometry - 1899 - 398 pages
...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... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...properties 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 - Geometry, Modern - 1901 - 278 pages
...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... | |
 | Education - 1903 - 692 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.... | |
 | William Dyson Wansbrough - Internal combustion engines - 1903 - 182 pages
...of 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... | |
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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. 
