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
| 1879
...circle. 6. 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.** 7. In a circle, the angle in a semicircle is a right angle, but the angle in a segment greater than... | |
| Great Britain - 1879
...circle. 6. 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.** 7. In a circle, the angle in a semicircle is a right angle, but the angle in a segment greater than... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...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...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... | |
| Oxford univ, local exams - 1880
...parts, together with twice the rectangle contained by the two parts. 4. Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another.** 5. Inscribe an equilateral and equiangular pentagon in a given circle. 6. If the square described on... | |
| Sandhurst roy. military coll - 1880
...Construct a square which shall be equal in area to a given rectangle. 4. Equal straight lines in a circle **are equally distant from the centre; and those which...distant from the centre are equal to one another.** 5. The figure ABCD is a parallelogram : if a circle passing through A and B cut AD and EC in E and... | |
| Mary W I. Shilleto
...produced shall be equal to the square on the given straight line. 3. Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another.** Through a given point within a circle draw the shortest possible chord. 4. In equal circles, the angles... | |
| College of preceptors - 1882
...How is the distance of a chord of a circle from the centre determined ? Prove that chords of a circle **which are equally distant from the centre are equal to one another.** 8. If two chords of a circle cut one another, neither of them being a diameter, prove that the rectangle... | |
| Euclid's Elements - 1883 - 400 pages
...points than one. PROPOSITION 14. THEOREM. Equal straight lines in a circle are equally distant from ihe **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... | |
| SHEPPARD & ST. JOHN - 1884
...obtained for three.fourths of this paper. 1. Prove geometrically that 2. Straight lines in a circle, **which are equally distant from the centre, are equal to one another.** Prove this, and draw a straight line to touch one given given circle, so that the part of it contained... | |
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