 | Euclides - 1848 - 52 páginas
...viz. AH, is the same multiple of C, that the whole of the last, via. DL, is of F." PROP. III. THEOREM. 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. PROP. IV. THEOREM. If the... | |
 | Royal Military Academy, Woolwich - 1853 - 400 páginas
...of C, that the whole of the last, viz DL isofF.' 90 BOOK V. PROP. IIi., IV. KPROPOSITION III. THEOB. 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, a?td the other of the fourth. Let A the first be the... | |
 | Euclides - 1853 - 176 páginas
...is of f PROPOSITION III. — THEOREM. If tlie first be tlie same multiple of the second, which tlie third is of the fourth ; and if of the first and third tJiere be taken equimuliiples, these shaU be equimultiples, the one of the second, and tJie ot lier... | |
 | Euclides - 1855 - 230 páginas
...HYPOTHESES. VD (p. 36). . V.3. . . . VB (p. 33). . VE (p. 53). . V. 16 V. 25. . V. 4, cor. V. 18.. V. 14.. If the first be the same multiple of the second which...the first and third there be taken equimultiples. If the first be to the second as the third to the fourth, and if the first be a multiple or submultiple... | |
 | Euclides - 1855 - 270 páginas
...ABGHDE KL С_ F PROP. III. ТНЕОЙЕМ. If the first be the same multiple of the second, which Ute third is of the fourth ; and if of the first and third there be taken equimultip '&s; these are equimultiples, the one of the second, and the other of the fourth. Let A... | |
 | Euclid - 1859 - 150 páginas
...íKartpov íKarkpov iffáKiç tarai iro\\air\áoiov, Tíi piv TOV Stvrípov, rо Si roa rtrápTOV. If the first be the same multiple of the second, which...Statement. — Let A the first, be the same multiple of B the second, that С the third, is of D the fourth ; and of A and С let equimultiples EF and GH be... | |
 | Robert Potts - 1860 - 380 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...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... | |
 | Eucleides - 1860 - 396 páginas
...the second as the third to the fourth, and if the first be a multiple or submultiple of the second. If the first be the same multiple of the second which...the first and third there be taken equimultiples. If the first magnitude be the same multiple of the second that the third is of the fourth, and the... | |
 | Euclides - 1861 - 464 páginas
...B, .-. A « mn 0, III.— THEOr.If the first le the same multiple of the second, which tlie third in of the fourth ; and if of the first and third there be taken equimultiples; these shall be equimultiples, the one of the second^ anc! the other of the fourth. E. 1 2 D. 1 HypCone. H.... | |
 | George Sturton Ward - 1862 - 104 páginas
...of b that с +f+ h + /is of d. PROPOSITION III. 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 any equimultiples ; these shall be equimultiples, the one of the second, and the other of the fourth.... | |
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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. 
