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
| 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... | |
| Jeremiah Day - Mathematics - 1836 - 472 pages
...points than one, whether il touches it on the inside or outside. XIV. Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another.** XV. The diameter is the greatest straight line in a circle ; and of all others, that which is nearest... | |
| John Playfair, William Wallace - Euclid's Elements - 1836 - 471 pages
...one circle, &c. QED PROP. XIV. THEOR. Equal straight lines in a circle are equally distant from Hie **centre; and those which are equally distant from the centre, are equal to one** anoifier. Let the straight lines AB, CD, in the circle ABDC, be equal to one another ; they are equally... | |
| Robert Simson, John Playfair - Euclid's Elements - 1837 - 240 pages
...cannot touch on the inside in more points than one. PKOPOSITION XIV. THEOREM. Equal chords in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another. Let** the chords AB, CD, in the circle ABDC, be equal to one another ; they are equally distant from the... | |
| Euclides - 1837
...which shows the supposition to be false. PROPOSITION XIV. Theorem. Equal straight lines in a circle **are equally distant from the centre ; and those which...are equally distant from the centre, are equal to** , each other. j> Steps of the Demonstration to Part 1st. 1. Prove that AF = FB, and .'. AB s= 2 AF,... | |
| Euclid - 1837 - 390 pages
...&c. PROP. XIV. THEOR. EQUAL chords in a circle are equally distant from the centre ; and (2.) chords **which are equally distant from the centre, are equal to one another. Let** the chords AB, CD, in the circle ABDC, be equal to one another ; they are equally distant from the... | |
| Euclides - 1838
...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... | |
| Euclid - Trigonometry - 1838 - 416 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.** * See Note. B Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are... | |
| Great Britain. Committee on Education - Schools - 1853
...unsatisfactory. . 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 a triangle equiangular to a given triangle. 3. If two triangles... | |
| Euclides - 1841
...Therefore, one circle, &c. QED PROP. XIV. THEOR. Equal straight lines in a circle are equally distant Jrom **the centre; and those which are equally 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... | |
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