 | alexander thom - 1875 - 758 σελίδες
...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... | |
 | Edward Atkins - 1876 - 130 σελίδες
...equal straight linen, Ac. QED *• . Proposition 15. — Theorem. The diameter is the greatest straight line in a circle; and, of all others, that which is...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... | |
 | Education Department,London - 1876 - 1010 σελίδες
...according аз the vortical angle is lesa or greater than a right angle. 3. In a circle the straight line which is nearer to the centre is always greater than one more remote. If a square and any other parallelogram be inscribed in a circle, the side of the square is greater... | |
 | University of Oxford - 1879 - 414 σελίδες
...and that part, together with the square on the other part. 10. 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. IV. Euclid, Books IV— VI. 1 . Define — ratio, compound ratio, ex aequali and reciprocal figures.... | |
 | University of Oxford - 1879 - 584 σελίδες
...point of contact. 6. Describe a circle about a given square. 7. The diameter is the greatest straight line in a circle ; and, of all others, that which...remote; and the greater is nearer to the centre than the less. 8. In equal circles, the angles which stand on equal arcs are equal to one another, whether they... | |
 | Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...is the greatest chord in a circle, and of all others ftfi( which is nearer to the centre is alu"u/n greater than one more remote ; and the greater is nearer to the centre than the Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a diameter,... | |
 | Isaac Sharpless - 1879 - 282 σελίδες
...equal to CG; hence AB is equal to CD. Proposition 13. Theorem.— The diameter is the greatest straight line in a circle; and of all others, that which is nearer the centre is greater than one more remote; and the greater is nearer the centre than the less. Let... | |
 | Sandhurst roy. military coll - 1880 - 68 σελίδες
...section. Write down the corresponding algebraical formula. 2. 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. From a given point without a circle, draw a straight line, the part of which intercepted by the... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...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 is...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 AD is a diameter,... | |
 | 1884 - 538 σελίδες
...of the parts may be equal to the square on the other part. 5. 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 the one more remote ; and the greater is nearer to the centre than the less. 7. Points A, B, C are... | |
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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... 
