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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., increasing the denomination still by unity, in any number of proportionals. "
Instructions Given in the Drawing School Established by the Dublin Society ... - Pàgina 165
per Joseph Fenn - 1769
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pàgines
...proportionals, the firft: rs faid to haVe to the third the duplicate ratio of that which it has to the fecond. XI. When four magnitudes are continual proportionals,...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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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 159 pàgines
...is faid to have to the third the duplicate Ratio of that which, it has to the fécond. 162. Def. ii. When four Magnitudes are continual Proportionals,...Ratio of that which it has to the fécond, and fo forward quadruplicate, &c. increafing the Denomination each Time by Unity, in any Number of Proportionals....
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pàgines
...to the folid EX, fo is EX to PL, ind PL to KO : But if four magnitudes be continual, propor^ionals, the firft is faid to have to the fourth the triplicate ratio «f that which it has to the fecond: Therefore the folid AB las to the folid KO, the triplicate ratio...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pàgines
...folid EX, fo is EX to PL, and PL to KO : But if four magnitudes be continual proportionals, the full is faid to have to the fourth the triplicate ratio of that which it has to the fecond : Therefore the folid AB has to the folid KO, the triplicate ratio of that which AB has to EX...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 pàgines
...tothe third the duplicate ratio of that which it has to the fecond. XI. Sst N. When four magnitudes dre continual proportionals, the firft is faid to have to the fourth the Triplicate ratio of thnt which it has to the fecond, and fo on Quadruplicate, &c. increafing the dew nomination ftill by...
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The Elements of Mathematical Analysis, Abridged: For the Use of Students ...

Nicolas Vilant - 1798 - 170 pàgines
...ofthat 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...has to the fécond ; and fo on quadruplicate, &c. increaiing the denomination Mill by unity, in any number of proportionals. That is, in any number of...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 pàgines
...proportionals is faid to have to the third the duplicate ratio of that which it has to the fecond. XI. Of four continual proportionals, the" firft is faid to have...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 - 1804
...firft is faid to have to the third the duplicate ratio of that which it has to the fecond. XI. See N. When four magnitudes are continual proportionals,...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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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volum 2

Isaac Dalby - 1806
...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...which it has to the second. 1 1 . When four magnitudes are continual proportionals, t\\e first is said to have to the fourth the triplicate ratio of that which it has lit'... second, a:id so cm, quadruplicate, Sec. increasing the denomination stilt by unity, in any...
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