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" 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. "
A Treatise on Practical Surveying: Which is Demonstrated from Its First ... - Página 42
por Robert Gibson - 1818 - 478 páginas
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 páginas
...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...
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Elements of geometry, containing the first two (third and fourth ..., Parte2

Euclides - 1872 - 102 páginas
...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....
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Euclid's Elements of Geometry

Euclid - 1872 - 284 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 a right...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 páginas
...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...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 páginas
...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...
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Pure mathematics, Volumen1

Edward Atkins - 1874 - 426 páginas
...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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 páginas
...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...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 páginas
...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...
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Designing Valve Gearing

Edward J. Cowling Welch - 1875 - 240 páginas
...rig/lit 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," is the basis upon which the system, applied in the following pages, is directly founded : and it is...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 páginas
...D С В is the supplement of Л DAB. THEOREM XXXV. The 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. Let А В be a diameter...
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