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" This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth : as is shown in Prop. "
A Compendious Course of Mathematics, theoretical and practical - Page 69
by John Radford YOUNG - 1855
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...inferred, that the first has the same ratio to the third, which the second has to the fourth; or that the first is to the third, as the second to the fourth: as is shown in the 16th prop, of this 5th book. XIV. Invertendo, by inversion ; when there are four...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...inferred, that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth. See prop. 16th of this book. XV. Invertendo, by inversion : when there are four proportionals, and...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...products AD and BC still obtains. PROP. VIII. THEOR. Numbers are likewise proportional by alternation, or the first is to the third as the second to the fourth. Let A: B : : C : 1); then alternately A : C : : B : D. !For the extreme terms are here still retained, and the mean...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...inferred, that the first has the same ratio to the third, « hicli the •econd has to the fourth; or that the first is to the third, as the second to the fourth: as is shewn in the XVI. Prop, of this Book V. 14. Invertendo, by inversion: when there are four proportionals,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...inferred, that the first has the same ratio to the third, which the second has to the fourth; or that the first is to the third, as the second to the fourth : As is shown in the 16th prop. of this 5th book. XIV. Invertendo by inversion ; when there are four...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...inferred, that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth : See Prop. 16. of this Book. XV. Invertendo, by inversion : When there are four proportionals, and...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...alternando ; when it is concluded, that if there be four magnitudes of the same kind proportionals, the first is to the third as the second to the fourth. Note. In this the antecedents are compared with one another, and the consequents with one another;...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...permutation, or by alternation, or alternately, are terms used, when of four proportionals it is inferred that the first is to the third as the second to the fourth. XIV. .Invertendo, by inversion, or inversely, when of four proportionals, it is inferred that the second...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...permutation, or by alternation, or alternately, are terms used, when of four proportionals it is inferred that the first is to the third as the second to the fourth. XIV. Invertendo, by inversion, or inversely, when of four proportionals, it is inferred that the second...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...inferred, that the first has the same ratio to the third, which the second has to the fui ir tli : or that the first is to the third, as the second to the fourth: As is shewn in the 16th prop, of this 5th book. XIV. Inrertendo, by inversion : When there are four...
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