 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.  Euclid's Elements of Geometry - Page 88by Euclid - 1872 - 261 pagesFull view - About this book
 | Euclides - 1862 - 140 pages
...if the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle. (III. 31.) Wherefore, conversely, if the given triangle be acute-angled, the centre of the circle falls... | |
 | Robert Potts - 1863 - 482 pages
...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. The circumferences of three unequal circles, whose centres are A, B, C, pass through a common point... | |
 | Euclides - 1863 - 122 pages
...theannlein a segment (ABC) greater than a semicircle is less than a right angle; and the angle (ADC) in a segment less than a semicircle is greater than a right emgle. Take any point Din the arc ADC, and join AB, AD, DC, and AC. Also join AE, and produce BA to... | |
 | Euclides - 1864 - 448 pages
...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 ABCD be a circle, of which the diameter is BC, and eenter E. and let CA be drawn, dividing the... | |
 | Henry White - 1864 - 156 pages
...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. • ALGEBRA. Set to candidates for the Admiralty who selected Algebra as a subject of Examination.... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...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. EUCLID, BOOK VI. Prop. 2. — Theorem. If a straight line be drawn parallel to one of the sides of... | |
 | Euclides - 1865 - 402 pages
...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. (References— Prop. I. 5, 17, 32 ; in. 22.) Let ABCD be a circle, of which the diameter is BC, and... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...but that 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. ., 40 PROBLEMS. 10. Pivide a right angle into three equal angles. 11. In the base of a triangle, find... | |
 | Robert Potts - 1865 - 528 pages
...angle ; but the angle in a legment 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, of which the diameter is BC, and center E, and let CA be drawn, dividing the... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...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. 3. Triangles, and also parallelograms, having the same altitude, are to one another, &c. 4. If a straight... | |
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