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" When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth; then the first is said to have... "
Instructions Given in the Drawing School Established by the Dublin Society ... - Page 164
by Joseph Fenn - 1769
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have to the fecond a greater ratio than the third magnitude has to the...the fourth a lefs ratio than the firft has to the fecond. VIII. " Analogy, or proportion, is the fimilitude of ratios." IX.. Proportion confifts in three...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have tp the fecond a greater ratio than the third magnitude has to the...; and, on the contrary, the third is faid to have ro the fourth a lefs ratio than the firft has to the fecond. VIII. " Analogy, or proportion, is the...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have to the fecond a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third i* faid to have to the fourth a lefs ratio than the firft has to die fecond. VIII. " Analogy, or proportion,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...third is not greater than the multiple of the fourth ; then the firft is laid to have to the fecond a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third L' faid to have to the fourth a lefc ratio than the firft has to the fecond. VIII. When there is any...
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The Elements of Mathematical Analysis, Abridged: For the Use of Students ...

Nicolas Vilant - Algebra - 1798 - 196 pages
...DEFINITION VII. When of the equimultiples of four magnitudes (taken asinDef. V.) the multiple of the iirit is greater than that of the fécond, but the multiple...magnitude has to the fourth ; and, on the contrary, the thii J is (aid to have to the fourth a jefs ijtio than the firft has to the iecoact. A : В, С : D...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...contains the fourth, then the firft is faid to have Ivt to the fecond a greater ratio than the third has to the fourth; and, on the contrary, the third...the fourth a lefs ratio than the firft has to the fecond. Thus, if of A, C there can be taken fuch equi•> J, , multiples MA, MC, that one of them MA...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have to the fecond a greater ratio than the third magnitude has to the...the fourth a lefs ratio than the firft has to the fecond. VIII. When there is any number of magnitudes greater than two, of which the firft has to the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...third is not greater than the multiple of the fourth ; then the firft is faid to have to the fecond a greater ratio than the third magnitude has to the...the fourth a lefs ratio than the firft has to the fecond. VIII. " Analogy, or proportion, is the fimilitude of ratios." IX. Proportion confifts in three...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third is said to have to the fourth a less ratio than the first has to the second. VIII. " Analogy, or proportion,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the fourth ; and, on the contrary, the third is said to have to the fourth a less ratio than the first has to the second. VIII. When there is any number...
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