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Llibres Llibres 41 - 50 de 72 sobre 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, Geometrical Analysis, and Plane Trigonometry: With an ... - Pągina 155
per Sir John Leslie - 1809 - 493 pągines
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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 ...

Euclides - 1855
...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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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 pągines
...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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New University Algebra: A Theoretical and Practical Treatise Containing Many ...

Horatio Nelson Robinson - 1864 - 420 pągines
...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 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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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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