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" If the first magnitude be the same multiple of the second that the third is of the fourth, and the fifth the same multiple of the second that the sixth is of the fourth ; then shall... "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 71
by Dennis M'Curdy - 1846 - 138 pages
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...C, that the whole of the last, namely, n DL, isof-F. J G K LF PEOPOSITION 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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...of its part, the same multiple is all the first magnitudes of all the others. QEU PROP. II. THEOREM. If the first magnitude be the same multiple of the second that the third it of the fourth, and the fifth the same multiple of the tecond that the silth it of the fourth ; then...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...only one root, a quadratic only two. Demonstrate algebraically that if the first of four magnitudes be the same multiple of the second that the third is of the fourth, the first shall be to the second as the third is to the fourth. 11. Solve the equations : (i) 3a +...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...C, that the whole of the last, namely, DL, is of F. H J K HCLF 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...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...figures. 2. About a given circle describe a triangle equiangular to a given triangle. 3. 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...
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