 | Euclides - 1862 - 172 Seiten
...Therefore, equal straight lines, &c. Q, ED PROP. XV.— THEOEEM. The diameter is the greatest straight line in a circle, and, of all others, that which is...; and the greater is nearer to the centre than the less. (References— Prop. i. 12, 20; in. def. 5.) Let ABCD be a circle, of which the diameter is AD,... | |
 | Euclides - 1863 - 122 Seiten
...circle (ABCD); end, of all others, that (BC) ,rlrich is nearer to the centre (E) is greater than (l'"G) one more remote: and the greater is nearer to the centre than the less. Because AE is equal (I. Def. 15) to EB. and ED to EC ; therefore AD is equal (I. Ax. 2) to EB... | |
 | Henry White - 1864 - 156 Seiten
...straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle; and, of all others, that which is...: and the greater is nearer to the centre than the less. 5. A segment of a circle being given, describe the circle of which it is the segment. 6. If the... | |
 | Euclides - 1865 - 402 Seiten
...one another ..... m. 14. 4. The diameter is the greatest straight line in a circle ; and of the rest, that which is nearer to the centre is always greater than one more remote ; and conversely, the greater is nearer to the centre than the less .,...,. m. 15. 5. In equal circles, equal... | |
 | Civil service - 1866 - 270 Seiten
...straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which...: and the greater is nearer to the centre than the less. 5. A segment of a circle being given, describe the circle of which it is the segment. 6. If the... | |
 | John Playfair - 1855 - 350 Seiten
...to CD. PROP. XV. THEOR. The diameter is the greatest straight line in a circle l and of all other*, that which is nearer to the centre is always greater than one mart remote , and the greater is nearer to the centre than the less. Let ABCD be a circle, of which... | |
 | Euclid, Isaac Todhunter - 1867 - 426 Seiten
...Wherefore, equal straight lines &c. QED PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all others, that which...; and the greater is nearer to the centre than the less. Let ABCD be a circle, of 'which AD is a diameter, and E the centre ; and let BC be nearer to... | |
 | Euclid, Isaac Todhunter - 1867 - 424 Seiten
...PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all otfters, that which is nearer to the centre is always greater...remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which AD is a diameter, and E the centre ; and let BC be nearer to the... | |
 | Edinburgh univ - 1868 - 336 Seiten
...together with twice the rectangle contained by the parts. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which...; and the greater is nearer to the centre than the less. 5. Reduce to its briefest form the expression a-[bc-(a + b- <-)]. 6. Find the value of £ (y.... | |
 | Robert Johnston (F.R.G.S.) - 1869 - 196 Seiten
...straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which...: and the greater is nearer to the centre than the less. 5. A segment of a circle being given, describe the circle of which it is the segment. 6. If the... | |
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The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which... 
