 | John Playfair - 1829 - 210 páginas
...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 - 1830 - 584 páginas
...thrrcfore, sine« the angle PQC is equal to ВАС, QI' produced passée through O. 23G GEOMETRY. 237 ('<) 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 cor. 81 (e) If a diameter... | |
 | 1835 - 684 páginas
...less than С К, that is, DE is 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 are equally distant from the centre are equal to one another. PROP. 5. (Eue. iii. 9.) If... | |
 | 1836 - 488 páginas
...cannot touch another in more 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 are equally distant from the centre are equal to one another. XV. The diameter is the greatest... | |
 | John Playfair - 1836 - 148 páginas
...equal (6. 2.) ; AF therefore is 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 are equally distant from the centre, are equal to one another. Let the straight lines AB,... | |
 | John Playfair - 1836 - 488 páginas
...&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... | |
 | Euclides - 1837 - 112 páginas
...3. that AC is also within O ABC, 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... | |
 | Andrew Bell - 1837 - 290 páginas
...than one. PKOPOSITION XIV. THEOREM. Equal chords in a circle are equally distant from the centre ; and those 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... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...&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... | |
 | Euclides - 1838 - 264 páginas
...cannot touch on the inside in more 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 are equally distant from the centre are equal to one another. Let the straight lines AB,... | |
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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. 
