 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...arc DB. Wherefore the given arc is bisected at DQBF PROPOSITION 31. THEOREM. In a circle the angle in a semicircle is a right 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... | |
 | Oxford univ, local exams - 1885 - 358 pages
...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; but the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than... | |
 | Dalhousie University - 1887 - 206 pages
...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 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... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...than one more remote ; and the greater is nearer to the centre than the less. 7. In a circle the angle in a semicircle is a right 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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the external bisector of the angle ABC. (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 is less than a right angle ; and the angle in a segment less than... | |
 | William Dyson Wansbrough - Internal combustion engines - 1903 - 182 pages
...well-known 31st Proposition of the Third Book 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... | |
 | British Columbia. Superintendent of Education - 1893 - 812 pages
...of the line, and of the square on the line between the points of section. 5. 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... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...of a circle being given, describe the circle of which it is the segment. 9. In a circle, the angle in a semicircle is a right 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... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1874 - 820 pages
...which do not both pass through the centre, they do not bisect each other. 5. In a circle, the angle in a semicircle is a right 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... | |
 | 1874 - 748 pages
...line between the pointe of section are equal to the square on half the line. 4. In a circle the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle. 5. ABCD is a quadrilateral inscribed... | |
| |
IN a circle, the angle in a semicircle is a right 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. 
