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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...same multiple of C, i that the whole of the last, viz. DL, is •ofF,' HCLF J D E-1K PROP. III. THEOR. IF the first be the same multiple of the second, which...first and third there be taken equimultiples, these shall be equimultiples, the one of the second, and the other of the fourth. < Let A the first, be the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 páginas
...H D B— l' __ HCLF BookV. PROP. III. THEOR. IF the first be the same multiple of the second, whie" 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. Let A the first, be the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813 - 714 páginas
...same multiple of the second, that the third together with the sixth is of the fourth. Prop. HI. Theor. If the first be the same multiple of the second, which the third is of the foartli; and if of the first and third there be taken equimultiples, these shall be equimultiples,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 páginas
...viz. DL, is of F.' HCLF CoR. ' From this it is plain, that, if any i/-. OF EUCLID. PROP. III. THEOR. If the first be the same multiple of the second, which the third is of the fourth ; and if of the tirst and third there be taken equimultiples, these shall be equimultiples, the one of the second,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 páginas
...the same multiple of C, that ' the whole of the last, viz, DL, is of F.' HCL d H PROP. III. THEOR. IF the first be the same multiple of the second, which...first and third there be taken equimultiples, these shall be equimultiples, the one of the second, and the other of the fourth. Let A the first, be the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1819 - 800 páginas
...with the sixth i- o[ the fourth. Piup. III. Theor. Il the fir«! be the »ame multiple of the «-cum!, which the third is of the fourth ; and if of the first and third l'iere he t.iken equimultiples, these shall be equimultiple«, the one of the second, and the other...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 páginas
...multiple of C, that the ' whole of the last, viz. DL, is of F.' H Li PROP. III. THEOR. ' . x * * IP the first be the same multiple of the second, which...first and third there be taken equimultiples, these shall be equimultiples, the one of the second, and the other qf the fourth. Let A the first, be the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 páginas
...which GH the third, together with the sixth, is of the fourth D. If, therefore, the first, *c. &c. QED Let A the first, be the same multiple of В the second, that С the third U of D the fourth; and of A, C let the equimultiples EF, GH be taken : Then EF is the same multiple...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...multiple of C, that the whole of the last, viz. DL, is of F. B G E K I HCLF PROP. III. THEOR. If the Jirst be the same multiple of the second, "which the third is of the fourth; and if of the Jirst and third there be taken equimultiples ; these shall be equimultiples, the one of the second,...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 542 páginas
...multiple of C, that the whole of the last, viz. DL, isofF.' H c LF PROPOSITION III. THEOREM. (476) If the first be the same multiple of the second, which...first and third there be taken equimultiples ; these shall be equimultiples, the one of the second, and the other of the fourth. EABGGI) Let A the first...
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