| W. Davis Haskoll - 1858 - 422 sider
...right angle ; and an angle in a segment greater than the semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the... | |
| Sandhurst roy. military coll - 1859 - 672 sider
...are together equal to two right angles. 5. In a circle, 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 Jess than a semicircle is greater than a right angle. 6. If from any point without a circle two straight... | |
| Thomas Stantial - 1859 - 352 sider
...is a right angle ; the angle in a segment less than a semicircle is greater than a right angle ; and the angle in a segment greater than a semicircle is less than a right angle. C. For the proof of this proposition what ascertained facts of circles are needed ? State also a corollary... | |
| Robert Potts - 1860 - 380 sider
...in D. Q EF PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is...ABCD be a circle, of which the diameter is BC, and center E. and let CA be drawn, dividing the circle into the segments ABC, ADC. Join BA,AD,DC. Then... | |
| Civil service - 366 sider
...of the circumference. PHOP. XXI. — 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 semicircle is greater than a right angle. ABC is a triangle of which the angle A is acute ; show that the square of BC is less than the squares... | |
| Joseph Charles Parkinson - 1860 - 154 sider
...the circumference. 12. PROP. XXXI. — 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 semicircle is greater than a right angle. 13. ABC is a triangle of which the angle A is acute; show that the square of BC is less than the squares... | |
| John Paxton Hall - 1860 - 186 sider
...circumference. PEOP. XXXI. — In a circle, the angle in a semicircle is a right angle ; but the angle is a segment greater than a semicircle is less than a...less than a semicircle is greater than a right angle. ABC is a triangle of which the angle A is acute ; show that the square of BC is less than the squares... | |
| Horatio Nelson Robinson - 1860 - 470 sider
...half of the same arc Hence the theorem. THEOREM IX. 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. (Th. 8) ; that is, one... | |
| Euclides - 1860 - 288 sider
...that the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, is greater than a right angle. (Const.) Join AE,... | |
| Richard Wormell - 1870 - 304 sider
...the centre in the arc AC ; consequently they are equal. 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. Let... | |
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