| Richard Wormell - 1870 - 276 páginas
...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... | |
| Henry William Watson - 1871 - 285 páginas
...ACB + ABC + BAC, therefore BDC + BAC is equal to two right angles (Bk. I. Prop. 23). PROPOSITION 13. **The angle in a semicircle is a right angle, and the...than a semicircle is greater than a right angle. Let** ABDC be a circle and BC its diameter, and therefore BAC a semicircle, then shall the angle BAC be a... | |
| Robert Johnston (F.R.G.S.) - 1872 - 178 páginas
...in a semicircle is a right angle; but the an?le in a segment greater than a semicircle is less tban **a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.** ALGEBRA. I. Specimen Paper. (Time, 3 hours.) 1. Find (1) the sum, (2) the difference, of the two expressions... | |
| Euclid - 1872 - 261 páginas
...Prop. 21. B. 3), and therefore the angle ABC is also less than a right angle. PART 3.— The angle ABC **in a segment less than a semicircle is greater than a right angle.** For assume in the opposite circumference any point D, and draw DA and DC. semicircle, is less than... | |
| Euclides - 1872
...angle in a semicircle is a right anglt and the angle in a segment greater than a semicircle is fe^ **than a right angle; and the angle in a segment less than** < semicircle is greater than a right angle. Let ABC be a ©, of which O is the centre and BC diameter.... | |
| Henry Major - 1873
...arc AD is equal to the arc DB. XXXI. — 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** BC be a diameter, and the centre E, and draw CA, dividing the circle into the segments ABC, ADO Join... | |
| Edward Atkins - 1874
...in DQJE.F. 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...semicircle is greater than a right angle. Let ABC be a** circle, of which BC is a diameter, and E the centre; and draw CA, dividing the circle into the segments... | |
| Edward Atkins - 1874
...DQEF Proposition 31. — Theorem. In a circle, the angle in a semicircle is a right angle; but t/ie **angle in a segment greater than a semicircle is less...semicircle is greater than a right angle. Let ABC be a** circle, of which BC is a diameter, and E the centre; and draw CA, dividing the circle into the segments... | |
| Euclides - 1874
...in DQEF 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...than a semicircle, is greater than a right angle. Let** A BCD be a circle, of which the diameter is BC, and centre E ; and let CA be drawn, dividing the circle... | |
| Francis Cuthbertson - 1874 - 349 páginas
...it may be proved that PROPOSITION XVI. 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** A PB be a © of which C is the centre, ACB a diameter, and AP a chord dividing the © APB into the... | |
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