| 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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