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Books Bücher 1 - 10 von 66 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...this book. XV. 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. A. book 5. XVI. Componendo, by composition : when there are four proportionals, and it is inferred,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 Seiten
...5th 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 5. XV. Componendo, by composition ; when there are four proportionals, and it is inferred,...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 Seiten
...is not affected, by transposing or interchanging its extreme and mean terms. On this principle, is founded the two following theorems. PROP. VII. THEOR....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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...Book V. 14. Invertendo, by inversion: when there are four proportionals, and it is inferred, tliat the se-cond is to the first, as the fourth to the third. Prop. B. Book V. 15. Componendo, by composition, »hen there are four proportional», and it is inferred,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...5th 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 5. XV. Componendo, by composition; when there are four proportionals, and it is ini'erred,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 Seiten
...this Book. XV. 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. A. Book 5. XVI. C.omponendo, by composition : When there are four proportionals, and it is inferred,...
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The Elements of geometry [Euclid book 1-3] in general terms, with ..., Teil 3

Euclides - 1821
...the 5th Book. 15. By invertendo ; when it is concluded that if there be four magnitudes proportional, the second is to the first as the fourth to the third. Note. Here the antecedent is made consequent, and the consequent antecedent. If A : B : : C : D then...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 494 Seiten
...16 prop, of t.his book. 17- Inverting; when it is inferred, if four magnitudes be proportional, that the second is to the first, as the fourth to the third ; as is shewn in Thcor. 3 at 15th of this book18. Compounding; when it is inferred, if four magnitudes...
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The First Six Books with Notes

Euclid - 1822 - 179 Seiten
...proved in Prop. 33. B. 5. 15. By inversion, when we inter that if there be four magnitudes proportional, the second is to the first as the fourth to the third. Prop. 20. 16. By composition, when we infer that if there be four magnitudes proportional, the sum...
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Universal Technological Dictionary: Or, Familiar Explanations of the ..., Band 2

George Crabb - 1823
...to C, fig. 32, being the same as B to D, the proportion is alternate. — Inverse proportion is when the second is to the first as the fourth to the third, ie B to A as D to C. — Compound proportion is when the first, together with the second, is to the...
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