 | Henry Raper - Nautical astronomy - 1882 - 952 pages
...since IK aa diameter, the angle at M, a point on the circumference, is the angle in a semicircle. 142. The angle in a segment greater than a semicircle is less than a right angle. The segment BAG of the circle being greater than a semicircle, the other segment BDC must be less than... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...when 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. Therefore, conversely, if the given triangle be acuteangled, the centre of the circle falls... | |
 | Woolwich roy. military acad - 1884 - 148 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... | |
 | 1884 - 266 pages
...pass through the point of contact. 9. In any circle, the angle in a semicircle is a right angle, and the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. Prove that if circles be described on any two sides of a triangle as diameters they will intersect... | |
 | Euclides - 1884 - 434 pages
...same base AB, and having its vertex on the are ADB. An angle in a semicircle is a right angle ; an angle in a segment greater than a semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. Let ABC be a circle, of... | |
 | Oxford univ, local exams - 1885 - 358 pages
...equal to a given rectilineal figure. 8. In a circle the angle in a semicircle is a right angle; and the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. 9. Describe an isosceles triangle, having each of the angles at the base double of the third angle.... | |
 | William Davis Haskoll - Hydrographic surveying - 1886 - 354 pages
...such diameter, is equal to a right angle ; and the angle contained by a greater segment of a circle than a semicircle is less than a right angle, and the angle contained by a segment less than a semicircle is greater than a right angle. In any circle (fig. 41),... | |
 | Dalhousie University - 1887 - 206 pages
...the circle shall be in that line. 12. In a circle, the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle...than a semi-circle is greater than a right angle. 13. TP, TQ, are the two tangents drawn to a circle from the point T. Find the centre C, and join CP,... | |
 | Nathaniel Bowditch - Nautical astronomy - 1888 - 704 pages
...are equal to each other; for they are all measured by the same arc, viz : half the arc AB. XVI. 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 less than... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...a right angle ; that in a segment greater than a semi circle is less than an right angle, and that in a segment less than a sem-icircle is greater than a right angle1 9. Use the above proposition in a practiual method for drawing from a given point at or near... | |
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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. 
