 | 1883 - 248 σελίδες
...the centre of a circle is double the angle at the circumference standing on the same arc. Deduce that the angle in a segment greater than a semicircle is less than a right angle, and the angle in a semicircle is a right angle. 8. Prove that, if a straight line touch a circle and from the point of... | |
 | Isaac Sharpless - 1882 - 292 σελίδες
...The angle in a semicircle is aright angle; the angle in a segment greater than a semicircle, is lens than a right angle ; and the angle in a segment less...than a semicircle, is greater than a right angle. ADC, and join BA, AD, DC; the angle in the semicircle BA C is a right angle ; the angle in the segment... | |
 | Henry Raper - 1882 - 952 σελίδες
...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 - 1883 - 426 σελίδες
...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... | |
 | 1884 - 266 σελίδες
...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... | |
 | Woolwich roy. military acad - 1884 - 148 σελίδες
...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 is...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... | |
 | Euclides - 1884 - 434 σελίδες
...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 σελίδες
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 8. In a circle the angle in a semicircle is a right angle;...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 - 1886 - 354 σελίδες
...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 σελίδες
...be drawn at right angles to the touching line, the centre of the circle shall be in that line. 12. In a circle, the angle in a semi-circle is a right...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,... | |
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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. 
