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
| War office - 1858 - 12 pages
...the points of section is equal to the square of half the line. 2. Equal straight lines in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another.** VOLUNTARY PORTION. 1. Define the sine of an angle, and find the sine of an angle of 30°, and of an... | |
| Sandhurst roy. military coll - 1859 - 1869 pages
...third angle of the other. VOLUNTARY PORTION. 1. Equal straight lines in a circle are equallydistant **from the centre ; and those which are equally distant from the centre are equal to one another.** 2. The straight lines drawn from the angles of a triangle to the middle points of the opposite sides... | |
| Euclides - 1860
...cannot touch on the inside in more points than one. PROPOSITION XIV. THEOREM. Equal chords in a circle **are equally distant from the centre ; and those which...distant from the centre are equal to one another.** Given the chords AB and CD, in the circle ABDC, equal to one another ; to prove that they are equally... | |
| John Playfair - Euclid's Elements - 1860 - 317 pages
...one. PROP. XIV. THEOR. Equal straight lines in a circle are equally distant from the centre; and thost **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 are equally distant frum... | |
| War office - 1861
...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...distant from the centre are equal to one another.** 10. Describe a circle about a given triangle. 11. The sides about the equal angles of equiangular triangles... | |
| Euclides - 1861
...14. — THEOn. 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.** Cos. 1, HI. 12, I. To draw a perp. to a St. line from a point without it. Pst. 1. DEM. 3, III. Ax.... | |
| Euclides - 1862
...14.— THEOREM. 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.** (References— Prop. I. 12, 47; III. 1, 3, def. 4.) Hypothesis I. — Let the straight lines AB, CD,... | |
| Euclides - 1865
...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...distant from the centre are equal to one another.** Prop. 1 5. The diameter is the greatest straight line in a circle ; and, of all others, that which... | |
| Isaac Todhunter - Euclid's Elements - 1867 - 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... | |
| Euclid, Isaac Todhunter - Geometry - 1867 - 400 pages
...than one. Wherefore, one circle &c. QED PROPOSITION 14. THEOREM. Equal straight lines in a circleare **equally distant from the centre: and those which are...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... | |
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