 | Dublin city, univ - 1871 - 366 Seiten
...construct a square equal to a given rectilineal figure. 5. The diameter is the greatest line in a ciri.le : and of all others that which is nearer to the centre is greater than the more remote ? 6. If a iight line be a tangent to a circle, and from the point of contact... | |
 | Euclides - 1872 - 102 Seiten
...,:AP=CQ, i. E. Cor. and .-. AB = CD. QED PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle, and of all others that which is nearer...the greater is nearer to the centre than the less. Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a diameter,... | |
 | Euclides, James Hamblin Smith - 1872 - 376 Seiten
...whether it is equal or not to the former. PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle, and of all others that which is nearer...the greater is nearer to the centre than the less. •2) Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a... | |
 | Henry Major - 1873 - 588 Seiten
...Therefore AB is equal to CD. XV. — TI»e diameter is the greatest straight line in a circle; and, of aU others, that which is nearer to the centre is always...the greater is nearer to the centre than the less. Let ABCD be a circle, AD the diameter, and E the centre ; and let BC be nearer to the centre than FG... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 Seiten
...line bisected, is eqiml to the straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle...is nearer to the centre is always greater than one niora remote : and the greater is nearer to the centre than the less. 5. A segment of a circle being... | |
 | Bombay city, univ - 1873 - 614 Seiten
...cone, cylinder, jrritm, and sphere. 6 •J. Show that the diameter is the greatest straight line in a 6 Circle, and of all others that which is nearer to the centre is always greater than the one more remote. 3. If circles be described upon the sides and hypothenuse 8 of a right angled... | |
 | Edward Atkins - 1874 - 426 Seiten
...was shown to be double of AF, and CD double of CG; PROPOSITIONS. than Proposition 15. — Theorem. The diameter is the greatest straight line in a circle;...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 centre... | |
 | Edward Atkins - 1874 - 428 Seiten
...AB was shown to be double of AF, and CD double ofCG; PROPOSITIONS. than Proposition 15. — Theorem. The diameter is the greatest straight line in a circle;...that which is nearer to the centre is always greater t/ian one more remote; and the greater is nearer to the centre t/ian the less. Let ABCD be a circle,... | |
 | Euclides - 1874 - 342 Seiten
...5. AB is equal to CD (Ax. 6). Therefore equal straight lines, &c. QED PROPOSITION 15. — Theorem. 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,... | |
 | alexander thom - 1875 - 758 Seiten
...triangle. 2. Prove that the diameter is the greatest line in a circle; and that, of all others, the one which is nearer to the centre is always greater than one more remote. 3. Two triangles have one angle in the one equal to one angle in the other, and the sides about 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... 
