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
| Giuseppe Moleti, Walter Roy Laird - History - 2000 - 222 pages
...to one another, and the diameter bisects the areas,' Euclid, Elements, 1 .34, tr. Heath, 1: 323-6; **'In a circle equal straight lines are equally distant...distant from the centre are equal to one another,'** Euclid, Elements, 3.14, tr. Heath, 2:34-6. 39 On the two suppositions, see note 36 above. 40 'If from... | |
| Euclid
...proved the second part by the same method as that which he employs for the first part. PROPOSITION 14. **In a circle equal straight lines are equally distant...say that AB, CD are equally distant from the centre.** and let it be E ; from E let EF, EG be drawn perpendicular to AB, CD, and let AE, EC be joined. Then,... | |
| Peter M. Engelfriet - Mathematics - 1998 - 488 pages
...they touch "with" one point. 14. B ft ffi i: » * BP E & £ » ft* E* £ * J6 ^ BP ffi a » * Heath **In a circle equal straight lines are equally distant...distant from the centre are equal to one another.** (If in a circle two straight lines are equal, then the distance from the centre is equal; if the distance... | |
| Oxford univ, exam. papers, 2nd publ. exam
...line and of the square on the line between the points of section. 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. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior... | |
| University of Cambridge, Sir Thomas Gery Cullum - 1850
...of any triangle is in one or other of two fixed straight lines. 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.** 4. About a given circle describe a triangle equiangular to a gifts triangle. Two equilateral triangles... | |
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