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" When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c. "
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... - Page 128
by Charles William Hackley - 1846 - 503 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...which it has to the fecond. XI. When four magnitudes are continual proportionals, the firft is faid to have to the fourth the Triplicate ratio of that which it has to the fecond, and fo on Quadruplicate, &c. increafing the denomination ftill by unity, hi any number of proportionals....
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Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - Mathematics - 1769 - 536 pages
...which it has to the fécond. XI. When four magnitudes are continual proportionals, the firft is faid to have to the fourth the triplicate ratio of that which it has to the fécond, and fo on quadruplicate, &c. increafing the denomination ftill by unity in any number of proportionals....
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...to the fécond. 162. Def. ii. When four Magnitudes are continual Proportionals, the firft is faid to have to the fourth the triplicate Ratio of that which it has to the fécond, and fo forward quadruplicate, &c. increafing the Denomination each Time by Unity, in any Number...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...has to the fecond. XL re N. When four magnitudes are v>nt'nual proportionals, the firft is faid to have to the fourth' the triplicate ratio of that which it has to the fecond, and fo on, quadruplicate, &c. increafing the denomination ftill by uni;y, in any number of...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...has to the fecond. xr. See K, When four magnitudes are continual proportionals, the firft if faid to have to the fourth the triplicate ratio of that which it has to the fecond, and fo on, quadruplicate, &c. incrcafing the denomination ilill by unity, in any number of...
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The Elements of Mathematical Analysis, Abridged: For the Use of Students ...

Nicolas Vilant - Algebra - 1798 - 196 pages
...which it has to the fécond; and when four magnitudes are in continued proportion, the ßrß is faid to have to the fourth the triplicate ratio of that which it has to the fécond ; and fo on quadruplicate, &c. increaiing the denomination Mill by unity, in any number of...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...ratio of that which it has to the fecond. XI. Of four continual proportionals, the" firft is faid to have to the fourth the triplicate ratio of that which it has to the fecond -t and fo on, quadruplicate, &c. increaflng the denomination ftill by unity. F. In any number...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...has to the fecond. XI. See N. When four magnitudes are continual proportionals, the firft is faid to have to the fourth the Triplicate ratio of that which it has to the fecond, and fo on Quadruplicate, &c. increaiing the denomination ftill by unity, in any number of proportionals....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...has to the second. XI. See N. When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c. increasing the denomination still by unity, in any number of proportionals....
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806 - 526 pages
...first term is said to have to the third, the duplicate ratio of that which it has to the second ; and to the fourth, the triplicate ratio of that which it has to the second ; and so on. NB This compounding of ratios by multiplication is called addition of ratios by those...
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