 | Dublin city, univ - 1871
...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
...,: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 - 349 sider
...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
...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
...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
...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
...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
...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
...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
...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... 
