 | Edward Atkins - 1874 - 428 pages
...another internally in more points than one. Therefore, one circle, &c. QED, Proposition 14.— Theorem. Equal straight lines in a circle are equally distant...conversely, those which are equally distant from the centre ttre equal to one another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another.... | |
 | Edward Atkins - 1874 - 426 pages
...another internally in more points than one. Therefore, one circle, <fec. QED Proposition 14. — Theorem. Equal straight lines in a circle are equally distant...conversely, those which are equally distant from the <entre are equal to one another. Let the straight lines AB, CD, in the circle ABDC, be equal to one... | |
 | Braithwaite Arnett - 1874 - 130 pages
...on the whole and one of the parts are together equal to three times the square on the other part. 3. Equal straight lines in a circle are equally distant from the centre. If two parallel chords AB, CD be drawn in a circle then AC and BD are equally distant from the centre.... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...35) but square on AR = square on CS; .-. square on RQ = square on SQ; Conversely: Chords in a circle which are equally distant from the centre are equal to one another. -Let the chords AB, CD of the ®ABC be equally distant from the centre Q; that is, let the perpendiculars... | |
 | Edward Atkins - 1876 - 130 pages
...points than one. Therefore, one circle, &c. QED Proposition 14. — Theorem. i Equal straight tines in a circle are equally distant from the centre; and,...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 they shall bo equally... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...Does the statement respecting the equality of the square hold foi any other division of the line. C. Equal straight lines in a circle are equally distant...conversely, those which are equally distant from the centra are equal to one another. The lines joining the extemities of two equal straight lines in a... | |
 | Education Department,London - 1876 - 1010 pages
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 2. Equal straight lines in a circle are equally distant from the centre. If the triangle be isosceles, the square on the side subtending the obtuse angle is equal to twice... | |
 | Āryabhaṭa - 1878 - 100 pages
...points. 5. One circle cannot touch another in more points than one, either internally or externally. 6. Equal straight lines in a circle are equally distant from the centre. PROP. G. PROBLEM. (E. 1. 22.) To make a triangle of which the sides shall be equal to three given straight... | |
 | 1879 - 636 pages
...rectilineal figure meet in a point, show that the angular points of the figure lie on a circle. 6. Equal straight lines in a circle are equally distant...distant from the centre are equal to one another. 7. In a circle, the angle in a semicircle is a right angle, but the angle in a segment greater than... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...rectilineal figure meet in u point, show that the angular points of the figure lie on a circle. 6. Equal straight lines in a circle are equally distant...distant from the centre are equal to one another. 7. In a circle, the angle in a semicircle is a right angle, but the angle in a segment greater than... | |
| |
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. 
