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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 61
por John Playfair - 1855 - 318 páginas
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 páginas
...former. PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle, and of all others that which is nearer to the centre is always greater...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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 páginas
...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 greater...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 ; AD is greater than...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1873 - 208 páginas
...the part produced. 4. 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 niora remote : and the greater is nearer to the centre than the less. 5. A segment of a circle being...
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Pure mathematics, Volumen1

Edward Atkins - 1874 - 426 páginas
...Proposition 15. — Theorem. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater...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 than FG. Then AD shall be greater...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 páginas
...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, the greater is nearer to tlie centre than the less. Let ABCD be a circle, of which the...
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the queens university calander

alexander thom - 1875 - 758 páginas
...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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 páginas
...Proposition 15. — Theorem. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater...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 than FG. Then AD shall be greater...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 páginas
...former. PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle, and of all others that which is nearer to the centre is always greater...greater is nearer to the centre than the less. Let AB be a diameter of the © ABDC, whose centre is 0, and let CD be any other chord, not a diameter,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 páginas
...former. PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle, and of all others that which is nearer to the centre is always greater...; 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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 páginas
...center is always greater than one more remote : and conversely the greater is nearer to ike center than the less. Let ABCD be a circle, of which the diameter is AD, and the center E ; and let JJCbe nearer to the center than FG. Then AD shall be greater than any straight line...
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