 | War office - 1861 - 260 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 9. 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. 10. Describe a circle about... | |
 | Euclides - 1862 - 140 pages
...in more points than one. Conclusion. — Therefore, one circle, &c. QED PROPOSITION 14.— THEOREM. Equal straight lines in a circle are equally distant...distant from the centre, are equal to one another. (References— Prop. I. 12, 47; III. 1, 3, def. 4.) Hypothesis I. — Let the straight lines AB, CD,... | |
 | Euclides - 1865 - 402 pages
...cannot tonch another in more points than one, whether it tonch it on the inside or outside. Prop. 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. 1 5. The diameter is... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...another on the inside at more points than one. Wherefore, one circle &c. QED PROPOSITION 14. 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 one another. Let the straight lines AB,... | |
 | Edinburgh univ - 1871 - 392 pages
...is equal to the rectangle contained by the two parts, together with the square of the foresaid part. 4. 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. 5. Multiply 3-r 2 —y*... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...above. PROPOSITION 7. In the same circle equal chords are equally distant from the centre, and chords which are equally distant from the centre are equal to one another ; and similarly for equal circles. 1st. Let BC and DE be two equal chords in the circle BCDE, whose... | |
 | Euclides - 1872 - 102 pages
...length of the perpendicular drawn from the centre to the chord. PROPOSITION XIV. THEOREM. Equal chords in a circle are equally distant from the centre; and...distant from the centre, are equal to one another. Let the chords AB, CD in © ABDCbe equal. Then must AB and CP be equally distant from the centre O.... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...length of the perpendicular drawn from the centre to the chord. PROPOSITION XIV. THEOREM. Equal chords in a circle are equally distant from the centre ;...distant from the centre, are equal to one another. Let the chords AB, CD in the © ABDC be equal. Then must AB and CD be equally distant from the centre... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...absurd. Therefore one circle cannot touch another on the outside at more points than one. XTV. — 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 AB, CD in ABDC, be equal... | |
 | Euclides - 1874 - 342 pages
...on the irride in more points than one. Therefore, one circle, &c. QEI) PROPOSITION 14. — Theorem. Equal straight lines in a circle are equally distant...distant from the centre, are equal to one another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another. Then AB and CD shall be... | |
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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. 
