 | Robert Simson - 1806 - 546 σελίδες
...cannot touch on the inside in more points than one. Therefore, one circle, 8tc. QED B PROP. XIV. THEOR. 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 ; they are equally distant... | |
 | John Playfair - 1806 - 320 σελίδες
...touch another on the inside in more than one point. Therefore, one circle, &c. QED PROP. XIV. THEOR. EQUAL straight lines in a circle are equally distant...which are equally distant from the centre are equal to each other. Let the straight lines AB, CD, in the circle ABDC, be equal to each other ; they are equally... | |
 | Euclid - 1810 - 554 σελίδες
...cannot touch on the inside in more points than one. Therefore one circle, Zee. QED B PROP. XIV. THEOR. EQUAL straight lines in a circle are, equally distant from the centre ; f-md those which are equally distant from the centre are equal to one another. Let the straight lines... | |
 | John Mason Good - 1813 - 714 σελίδες
...another in more points than one, whether it louches it on the inside or outside. Prop. XIV. Theor. Equal straight lines in a circle are equally distant from the centre ; and tbose which are equally distant from the centre, are equal to one another. Prop. XV. Theor. The diameter... | |
 | Euclides - 1816 - 588 σελίδες
...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...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... | |
 | John Playfair - 1819 - 350 σελίδες
...touch another on the inside in more than one point. Therefore, one circle, &c. QED PROP. XIV. THEOR. Equal straight lines -in a circle are equally distant...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... | |
 | Rev. John Allen - 1822 - 508 σελίδες
...in more points than one. PROP. XIV. THEOR. Equal right lines (AB, CD), inscribed in a circle (ABDC), are equally distant from the centre; and those, which are equally distant from the centre, are equal. Because AB, CD are equal (Hyp.), and hisected by the perpendiculars EF, EG (3. 3), the right lines... | |
 | Rev. John Allen - 1822 - 516 σελίδες
...in more points than one. PROP. XIV. THEOR. Equal right lines (AB, CD), inscribed in a circle (ABDC), are equally distant from the centre; and those, which are equally distant froni the centre, are equal. Take E the centre of the circle ABDC (1. 3), join EA, EC, and draw EF,... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...touch on the inside in more points than oneTherefore, one circle, &c. QED Proposition XIV. 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 : they are equally distant... | |
 | George Lees - 1826 - 276 σελίδες
...than the square of EK, and the straight line EH less than FK. Wherefore, the diameter, &c. QED Cor. Equal straight lines in a circle are equally distant...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... | |
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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. 
