EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another. Books 3-9 - Page 34by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclides - 1849
...points than one : Therefore, one circle, &c. QED PROP. XIV. THEOR. Equal straight lines in a circle **are equally distant from the centre; and those which...distant from the centre, are equal to one another.** Take E the centre of the circle ABDC, and from it draw KF, EG perpendiculars to AB, CD: Then, because... | |
| King's College (University of London) - 1850
...perpendicular let fall upon it from the opposite angle, and the acute angle. 4. Equal right lines in a circle **are equally distant from the centre; and those which are equally distant from the centre are equal to** each other. • ,. In a circle, the angle in a semicircle is a right angle; but the angle in a segment... | |
| FRANCIS J. JAMESON - 1851
...1848. (A). Equal straight lines in a circle are equally distant from the centre ; and, conversely, **those which are equally distant from the centre are equal to one another,** (in. 14.) (E). Shew that all equal straight lines in a circle will be touched by another circle. *... | |
| Harvey Goodwin - Mathematics - 1851 - 173 pages
...the line. 4. Equal straight lines in a circle are equally distant from the centre ; and conversely, **those which are equally distant from the centre are equal to one another.** Shew that all equal straight lines in a circle will be touched by another circle. 5. The angle at the... | |
| 1852
...DIVISION II. 1. Equal straight lines in a circle are equally distant from the centre ; and conversely, **those which are equally distant from the centre are equal to one another.** 2. About a given circle, to describe i triangle equiangular to a given triangle. 3. If two triangles... | |
| 77 - 1851
...7. Equal straight lines in a circle are equally distant from the centre ; and those straight lines **which are equally distant from the centre are equal to one another.** 8. If from a point without a circle two straight lines he drawn, one of which cuts the circle and the... | |
| Euclides - 1853
...points than one. Therefore, one circle, &c. PROP. XIV. - THEOREM. Equal straight lines in a circle **are equally distant from the centre; and those which...distant from the centre, are equal to one another. Let** the straight lines AB, CD, in the circle ABDC, be equal to one another ; the; are equally distant from... | |
| Euclides - 1853
...one. Therefore, one circle, <fcc. QED PROPOSITION XIV. — THEOREM. Equal straight lines in a circle **are equally distant from the centre, and those which are equally distant from** tlie centre are equal to one another. LET the straight lines ab, cd, in the circle a bdft be equal... | |
| Cambridge univ, exam. papers - 1856
...circles cut one another, they shall not have the same centre. 11. Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre, are equal to one another.** 12. The angle at the centre of a circle is double of the angle at the circumference, upon the same... | |
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