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" Dividendo, by division ; when there are four proportionals, and it is inferred, that the excess of the first above the second is to the second as the excess of the third above the fourth is to the fourth. "
A Treatise on Arithmetic: Through which the Entire Science Can be Most ... - Σελίδα 285
των Noble Heath - 1856 - 455 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...book 5. XVI. Componendo, by composition : when there are four proportionals, and it is inferred, that the first, together with the second, is to the second,...third, together with the fourth, is to the fourth. 18th prop, book 5, Book V. XVII. sx^v*^/ Dividcndo, by division : when there are four proportionals,...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...book 5. XV. Componendo, by composition ; when there are four proportionals, and it is inferred, that the first, together with the second, is to the second,...third, together with the fourth, is to the fourth. 18th prop, book 5. XVI. Dividendo, by division ; when there are four proportionals, and it is inferred,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...Book 5. XV. Componendo, by composition; when there are four proportionals, and it is ini'erred, that the first, together with the second, is to the second,...third, together with the fourth, is to the fourth. 18th Prop. Book 5. XVL Dividendo, by division ; when there are four proportionals ; and it is inferred,...

Elements of Geometry

Adrien Marie Legendre - 1819 - 574 σελίδες
...is to the first as the fourth is to the third ; componendo, by composition, when it is inferred that the first together with the second is to the second,...the third together with the fourth is to the fourth ; dividemlo, by division, when it is inferred that the excess of the first above the second u to the...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...Book 5. XVI. C.omponendo, by composition : When there are four proportionals, and it is inferred, that the first, together with the second, is to the second,...third, together with the fourth, is to the fourth. 18th Prop. Book 5. XVII. Dividendo, by division : When there are four proportionals, and it is inferred,...

The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 σελίδες
...Prop. 20. Book 5. 16. Componendo ; when it is concluded, that if there be four magnitudes proportional, the first together with the second is to the second,...the third together with the fourth is to the fourth. Note. Hence A + B : B : : C+D : D. Thus if 2: 1 : : 6 : 3,[then 2+1 : 1 : : 6+3 : 3. This def. is proved...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...book 5. XV. Componendo, by composition; when there are four porportionals, and it is inferred, that the first, together with the second, is to the second, as the the third together with the fourth, is to the fourth. 18th. Prop. book 5.. XVI. Dividendo, by division;...

The Complete Practical Arithmetician: Containing Several New and Useful ...

Thomas Keith - 1822 - 354 σελίδες
...— =— , hence. ALTERNANDO. A : c :; B ; D. •BC- pc cp 15. When four quantities are proportional, the first together with, the second, is to the second...third together with the fourth, is to the fourth, Thus, if A : B :: o : D. then COMPONENDO, A + B : B •.: C + D : D. For AD==BC (article 11) add DB...

Universal Technological Dictionary: Or, Familiar Explanations of ..., Τόμος 2

George Crabb - 1823 - 704 σελίδες
...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 second...third, together with the fourth, is to the fourth, ie supposing AE to be EB as CF to FD, fig. 33, then, by composition, AB is to BE as CD to D E. —...

The Elements of Algebra ...

James Wood - 1825 - 322 σελίδες
...place, and the conclusions drawn from it will be just. ( 1 79.) When four quantities are proportionals, the first together with the second, is to the second,...third, together with the fourth, is to the fourth. Let a : b :: с : d, then componenda, a + b : b : : с + d : d. Because т = ^, by adding unity to...




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