 | Francis Cuthbertson - 1874 - 400 σελίδες
...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 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... | |
 | Euclides - 1874 - 342 σελίδες
...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 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... | |
 | Edward Atkins - 1874 - 426 σελίδες
...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 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,... | |
 | Edward J. Cowling Welch - 1875 - 240 σελίδες
...in the enunciation to be, that "in a circle the angle in a semicircle is a 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... | |
 | Richard Wormell - 1876 - 268 σελίδες
...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 and А С a chord of a circle, ADBE ; then Л А С В in the semicircle AC... | |
 | Edward Atkins - 1876 - 130 σελίδες
...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 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,... | |
 | 1876 - 710 σελίδες
...the algebraical equivalent of this proposition. 6. The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right angle, and in a segment less than a semi-circle it is greater than a right angle. Show how this follows from... | |
 | Education Department,London - 1876 - 1010 σελίδες
...the circumference. SECTION III. 1. 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 right angle ; and the angle in a segment less than a semicircle is greater than a right angle. The greatest rectangle... | |
 | Samuel H. Winter - 1877 - 452 σελίδες
...by means of the equation to a circle that the angle in a semicircle is a right angle, and that the angle in a segment greater than a semicircle is less than a right angle. 13. Find the equation to the tangent of an ellipse; prove that from a given point two tangents can... | |
 | University of Oxford - 1879 - 414 σελίδες
...perpendicular and the obtuse angle. 10. 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 right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 11. Inscribe an... | |
| |
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. 
