 | Richard Wormell - 1870 - 304 pagine
...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 the angle ABC (fig. 180) be the angle in the segment ABC.. If the segment be a semicircle,... | |
 | Henry William Watson - 1871 - 320 pagine
...right angle, and 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 ABDC be a circle and BC its diameter, and therefore BAC a semicircle, then shall the angle BAC... | |
 | Euclides - 1872 - 102 pagine
...right angle; and 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 ABC be a 0, 0 its centre, and BC & diameter. Draw AC, dividing the © into the segments ABC, ADC.... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pagine
...right angle; and 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 ABC be a ©, of which O is the centre and BC a diameter. Draw AC, dividing the Q into the segments... | |
 | Euclid - 1872 - 284 pagine
...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... | |
 | Henry Major - 1873 - 588 pagine
...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. Let BC be a diameter, and the centre E, and draw CA, dividing the circle into the segments ABC, ADO... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pagine
...APB. QED Cor. 1. (Euc. III. 31). — Hence it follows that an angle in a semicircle is a right angle, an angle in a segment less than a semicircle is greater than a right angle, and an angle in a segment greater than a semicircle is less than a right angle. For the angle AOB at... | |
 | Edward Atkins - 1874 - 426 pagine
...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. Let ABC be a circle, of which BC is a diameter, and E the centre; and draw CA, dividing the circle... | |
 | Francis Cuthbertson - 1874 - 400 pagine
...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. Let A PB be a © of which C is the centre, ACB a diameter, and AP a chord dividing the © APB into... | |
 | Euclides - 1874 - 342 pagine
...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. Let A BCD be a circle, of which the diameter is BC, and centre E ; and let CA be drawn, dividing the... | |
| |
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. 
