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Books Bücher 11 - 20 von 69 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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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - 1824 - 516 Seiten
...fourth. XIV. Invertendo, by inversion, or inversely, when of four proportionals, it is inferred that the second is to the first as the fourth to the third. XV. Componendo, by composition, when it is inferred that the sum of the first and second is to the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 Seiten
...5th book. XIV. Inrertendo, 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 6. XV. Componendo, by composition ; when there are four proportionals, and it is inferred,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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 5. XV. Componendo, by composition ; when there are four proportionals, and it is inferred...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 324 Seiten
...bab (461) 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. Proposition B. Book V. Inversion consists in the transposition of the antecedents and consequents....
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The first six books of the Elements of Euclid: with notes

Euclid, Thomas Elrington - 1833 - 183 Seiten
...proved in prop. 33. 15. By inversion ; when we infer 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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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 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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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - 1835 - 361 Seiten
...fourth. XIV. Invertendo, by inversion, or inversely, when of four proportionals, it is inferred that the second is to the first as the fourth to the third. XV. Componendo, by composition, when it is inferred that the sum of the first and second is to the...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 Seiten
...fourth. 16. 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. 16. Componenda, by composition : when there are four proportionals, and it is inferred, that the first...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 Seiten
...it stands to the whole circumference, ibid. ART. 170. In a series of four proportional right lines, the second is to the first as the fourth to the third, 116. ART. 171. In a series of four proportional right lines, the first is to tho third as the second...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 Seiten
...proposition of this book. 15. 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. 16. By composition: when there are four proportionals, and it is inferred, that the...
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