| Euclides - 1856
...in ADC and join AB, AE, AD, D C. The angle BAC is a right.angle ; the angle ABC in the segment ABC **greater than a semicircle is less than a right angle ; and the angle** ADC in the segment ADC less than a semicircle is greater than a right angle. Because EB is equal to... | |
| W. Davis Haskoll - 1858 - 324 pagina’s
...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 - 1869 pagina’s
...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
...angle in a semicircle 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 - 361 pagina’s
...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...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 circle... | |
| Joseph Charles Parkinson - 1860
...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... | |
| Civil service
...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... | |
| John Paxton Hall - 1860
...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 - 453 pagina’s
...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
...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,... | |
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