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Books Bücher 41 - 50 von 71 in Componendo, by composition ; when there are four proportionals, and it is inferred...
" Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth. "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 137
von Sir John Leslie - 1817 - 432 Seiten
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...Fifth Book. XIV. Invertendo, by inversion ; when there are four proportionals, and it ia inferred that the second is to the first as the fourth to the third.— Prop. B. Book V. XV. Сomponenda, bу composition ; when there are four proportionals, and it is inferred...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...this book. 15. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Proposition B, book 5. 16. Componendo, by composition ; when there are four proportionals, and it is...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 Seiten
...Fifth Book. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third, Prop. B. Book v. XV. Componendo, by composition ; when there are four proportionals, and it is inferred...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...EUCLID. XIV. — Invertendo, by inversion ; when there are four proportionals, and it is inferred that the second is to the first, as the fourth to the third. Prop. B. Book V. Thus, If _ = ^ , or | = |; then invertendo, -, = _> or \ = " Inverse ratio is the...
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The propositions of the fifth book of Euclid proved algebraically

George Sturton Ward - 1862
...Ъ ; d. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred that the second is to the first as the fourth to the third. Prop. B. If a ; Ъ : : с : d, " invertendo" b : a : : d ; e. XV. Componendo, by composition ; when...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...Fifth Book. XIV. Invertendo, by inversion : when there are four proportionals, and it is Inferred that the second is to the first as the fourth to the third. XV. Componendo, by composition: when there are four p,oportiouals, and it is inferred that the first...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...Boole. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop. B. Book v. XV. Componendo, by composition ; when there are four proportionals, and it is inferred...
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New University Algebra: A Theoretical and Practical Treatise Containing Many ...

Horatio Nelson Robinson - 1864 - 420 Seiten
...be in proportion, they will be in proportion by INVERSION; that is, the second will be to tJieJirstt as the fourth to the third. Let a ; b = c : d ; then by formula (A), — = — ', a, c clearing of fractions, bc = ad; hence by Prop. II, b : a = d : c....
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...Fifth Book. xrv. Invertendo, by inversion ; when there are four proportionals, and it is inferred that the second is to the first as the fourth to the third. —Prop. B. Book v. XV. Componendo, by composition ; when there are four proportionals, and it is inferred...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Teil 2

Joseph Ray - 1852 - 396 Seiten
...quantities are in proportion, they will be in proportion by INVERSION ; that is, the second wib be to the first, as the fourth to the third. Let a :b : :c :d Then (Art. 263), =- ; ac dividing 1 by each side, -=- ; oa ac a_c b dThat is, (Art. 263), b : a : : d :...
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