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" If the first be the same multiple of the second which the third is of the fourth, and if of the first and third there be taken equimultiples, these shall be equimultiples, the one of the second, and the other of the fourth. "
Manual of Euclid: Books IV, V, VI. - Página 38
por Euclid - 1868
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...of C, that the whole of the last, viz. DL, is of F. PROPOSITION III. THEOREM. Ifthefrst be Ihesame multiple of the second, which the third is of the...first and third there be taken equimultiples; these ihall be equimultiples, the one of the second, and the other of the fourth. Let A the first be the...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...AH, is the same multiple of C, that the whole of the last, viz. DL, is of F. PROP. III.— THEOREM. If the first be the same multiple of the second, which...the fourth ; and if of the first and third there be tahen equimultiples ; then these shall be equimultiples, the one of the second, and the other of the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...the same multiple of C, that the whole of the last, viz. DL, is of F. D rPROPOSITION III. THEOREM. lf the first be the same multiple of the second, which the third is of the fourth ; and if rif the Iirxt and third there be taken equi multiplex ; the3e shall be equimultiplet, the one of the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 páginas
...is of/7. H J K HC JL F PROPOSITION 3. THEOREM. If the first be the same multiple of the second that the third is of the fourth, and if of the first and the third there be taken equimultiples, these shall be equimtiltiples, the one of the second, and the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 páginas
...namelv, H DL,isofF, G H J K PROPOSITION 3. THEOREM. If the first be the same multiple of the second that the third is of the fourth, and if of the first and the third there be taken equimultiples, these shall be equimultiples, the one of the second, and the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 páginas
...is the same multiple of C, that the whole of the last, viz. DL, is of F. H PROPOSITION III. THEOREM. If the first be the same multiple of the second, which the third is of the fourth : ar.d if of the first and third there be taken equimultiples; these shall be equimultiples, the one...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 páginas
...together is of D. QED PROPOSITION III. (Eucl. v. 3.) If the first be the same multiple of the second that the third is of the fourth ; and if of the first and third there be taken equimultiples, these must be equimultiples, the one of the second, and the other of the fourth. Let A be the same multiple...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 páginas
...same multiple of C, that the whole of the last, viz., DL, is of F. ABGH PROPOSITION 3.— Theorem. If the first be the same multiple of the second, which the d is of the fourth ; and if of the first and third there be taken equimultiples, these shall be equimultiples,...
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Euclid, Book V. Proved Algebraically, So Far as it Relates to Commensurable ...

Euclid, Lewis Carroll - 1874 - 80 páginas
...- = mx + nx + rx + ^-c. fye.').x. QED PKOP. III. If the first be the same multiple of the second as the third is of the fourth, and if of the first and the third there be taken equimultiples : these are equimultiples of the second and the fourth. [If...
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Euclid, book v. proved algebraically, so far as it relates to commensurable ...

Charles Lutwidge Dodgson - 1874 - 96 páginas
...+ fyc. = (m + ti + r + fyc.) . x. QED PROP. III. If the first be the same multiple of the second as the third is of the fourth, and if of the first and the third there be taken equimultiples : these are equimultiples of the second and the fourth. [If...
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