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 - 1826
...without ACK, c which is absurd. Therefore one circle, PROPOSITION XIV. THEOREM.* In a circle equal right **lines are equally distant from the centre, and those...which are equally distant from the centre are equal to** another. lines AB, CD. They are equally distant from the centre. Let ABDC be a circle, and in it the... | |
| Euclid, Phillips - 1826 - 180 pages
...without ACK,C which is absurd. Therefore one circle, PROPOSITION XIV. THEOREM.* In a circle equal right **lines are equally distant from the centre, and those...which are equally distant from the centre are equal to** another. Let ABDC be a circle, and in it the two equal right lines AB, CD. They are equally distant... | |
| George Lees - 1826
...straight line EH less than FK. Wherefore, the diameter, &c. QED Cor. Equal straight lines in a circle **are equally distant from the centre ; and those which are equally distant from the centre, are** equally distant from one another. OF GEOMETRY. aCor.Ax12 Book II. t PROP. III. THEOREM. Of all the... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...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. Let** the straight lines AB, CD, in the circle ABDC, be equal to one another : they shall be equally distant... | |
| Francis Nichols - Mathematics - 1829 - 186 pages
...XIV. THEOREM. Equal chords in a circle are equally distant from the centre ; and chords in a circle **which are equally distant from the centre are equal to one another.** 1. Let the chords AB, CD, in the circle ABDC, be equal to each other; they are equally distant from... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...nearer to the centre than FG is. Therefore, &c. Cor. (Eue. iii. 14.) Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another.** PROP. 5. (Eue. iii. 9.) If a point be taken, from which to the nrcumfercnce of a circle there fall... | |
| John Playfair - Euclid's Elements - 1833 - 333 pages
...one circle, &c. QED PROP. XIV. THEOR. Equal straight lines in a circle arc equally distant from tJie **centre; and those which are equally distant from the centre, are equal to one another.** B Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are equally distant... | |
| Euclides - 1834
...than one. Therefore, one circle, &c. QED PROPOSITION XIV. THEOR. — Equal straight lines in a circle **are equally distant from the centre ; and those which are equally distant** front the centre are equal to one another. Let the straight lines AB, CD, in the circle ABDC, be equal... | |
| Society for the diffusion of useful knowledge (Great Britain) - Mathematics - 1835
...PQC is equal to ВАС Q I> produced passes through O. J¡9- 2. (if) Equal straight Hues in a circle **are equally distant from the centre ; and those which...equally distant from the centre are equal to one another** cor. 81 (<?) If a diameter cuts any other chord at right angles, it bisects it; and conversely, if... | |
| John Playfair - Trigonometry - 1836 - 114 pages
...equal to FB. Wherefore, if a straight line, &c. QED PROP. VI. 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. Let** the straight lines AB, CD in the circle ABDC be equal to one another ; they are equally distant from... | |
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