 | John Radford Young - 1827 - 228 pagine
...propositions, has rendered it necessary that he should, in the succeeding proposition, demonstrate that " The angles in the same segment of a circle are equal to one another," a proposition which presented two cases requiring separate consideration. It was absolutely... | |
 | Thomas Gaskin - 1847 - 301 pagine
...lines (7T\ / 7T\ 0 ' , p = a sec 0 • 1 9 2/ l V 6) and the angle between them. 8. Prove analytically that the angles in the same segment of a circle are equal to each other. 9. Lp is a normal to a parabola at L the extremity of the latus rectum, meeting the... | |
 | 1851 - 382 pagine
...20 18 I 2. Inscribe an equilateral and equiangular hexagon in a given circle, i . > _ 8 1 3. Prove that the angles in the same segment of a circle are equal, ..... _ 7 8 4. Given two sides and the contained angle to resolve the triangle, ...... _ 7 4 5. Define... | |
 | Samuel Maunder - 1866 - 884 pagine
...something to be proved, «s that triangles having the same base and altitude ore equal to each other, or that the angles In the same segment of a circle are equal. When something Is premised, or demonstrated, In order to render what follow» more easy, It Is termed... | |
 | Royal United Services Institute for Defence Studies - 1872 - 742 pagine
...circumference upon the same luxe, that in, upon tha same part of the circumference. The 21st proves that the angles in the same segment of a circle are equal to one another. The 22nd proves that the opposite angles of any quadrilateral figure inscribed in a... | |
 | Philip Kelland - 1873 - 248 pagine
...constant whilst pl varies, the right-hand side of this equation is constant, and the equation shews that the angles in the same segment of a circle are equal to one another. Further, the form of the right-hand side of the equation, viz. — Sß Up, shews that... | |
 | 1878 - 228 pagine
...obtuse, according as AD is greater than, equal to, or less than BD, the half of the base. 5. Prove that the angles in the same segment of a circle are equal to one another. BAG, BA'C are two angles in the same segment of a circle, and AP, A'P' are drawn cutting... | |
 | Edward Harri Mathews - 1879 - 94 pagine
...produced lines in D and E : prove that the rectangle of BC, CD is equal to that of AC, CE. 8. Prove that the angles in the same segment of a circle are equal to one another. 9. Draw a tangent to a circle from any point without it. 10. If two straight lines... | |
 | 1882 - 486 pagine
...angles : and if it cut it at right angles it shall bisect it. 7" Define a segment of a circle, and prove that the angles in the same segment of a circle are equal to one another. OA, OR are two straight lines meeting in 0 ; a circle is drawn through 0 and a fixed... | |
 | Association of Ontario Land Surveyors, Canadian Institute of Surveying - 1884 - 390 pagine
...be interesting. The principle of its construction is based upon the 2ist prop., 3rd book of Euclid, that the angles in the same segment of a circle, are equal to one another. Two angles are taken by a sextant between a middle point and an object right and left... | |
| |
Prove that the angles in the same segment of a circle are equal to one another. 
