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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... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Side 31
av Euclides - 1861
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...wherefore AB is equal to CD, (ax. 6.) Therefore equal straight lines, &c. QED PROPOSITION XV. THEOREM. The diameter is the greatest straight line in a circle ; and of the rest, that which is nearer to the center is always greater than one more remote : and conversely...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...wherefore AB is equal to CD. (ax. 6.) Therefore equal straight lines, &c. QED PROPOSITION XV. THEOREM. The diameter is the greatest straight line in a circle ; and of the rest, that which is nearer to the center is alwags greater than one more remote : and converselg...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...conversely, those which are equally distant from the centre are equal to 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,...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866
...is equal to the square of 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...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 outward...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 sider
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...Therefore AB is equal to CD. [Axiom 6. Wherefore, equal straight lines &c. QED 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...Therefore AB is equal to CD. Wherefore, equal straight lines &c. QED [Axiom 6. 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 than one more remote; and the greater...
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The Edinburgh university calendar

Edinburgh univ - 1868
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 4. The diameter is the greatest straight line in a circle...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. - *\...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...line bisected, is equal 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...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 outward...
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The Edinburgh university calendar

Edinburgh univ - 1871
...the other ; the base of that which has the greater angle is greater than the base of the other. 3. The diameter is the greatest straight line in a circle : and of others, that which is nearer to the centre is always greater than one more remote ; and the greater...
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