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Βιβλία Βιβλία 1 - 10 από 39 για Proportion, when the ratio is the same between every two adjacent terms, viz. when....
" Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio. "
The Operative Mechanic, and British Machinist: Being a Practical Display of ... - Σελίδα 674
των John Nicholson - 1825 - 795 σελίδες
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Elements of Geometry: With Their Application to the Mensuration of ...

Thomas Simpson - 1760 - 276 σελίδες
...proporE. tional (or in continual proportion) when the firft i. 2. 4. . js to ^ feconj) as ,-he fecond to the third, as the third to the fourth, as the fourth to the fifth, and fo on. 7. In a feries, or rank of quantities continually proportional, the ratio of the firft and third,...

A Course of Mathematics: For the Use of Academies as Well as ..., Τόμος 1

Charles Hutton - 1812
...Proportional, OF in Continued Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to...the fourth, as the fourth to the fifth, and so on, all in the same common ratio. As in the quantities 1, 2, 4, 8, 16, &c ; where the common ratio is equal...

The Elements of Algebra: Designed for the Use of Students in the University

James Wood - 1815 - 305 σελίδες
...PROGRESSION. (214.) Quantities are said to be in geometrical progression, or continual proportion, when the first is to the second, as the second to the third, ajid as the third to the fourth, &c. that is, when every succeeding term is a certain multiple, or...

A Course of Mathematics ...: For the Use of Academies, as Well as ..., Τόμος 1

Charles Hutton - 1818
...Proportional, or in Continued Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to...third, as the third to the fourth, as the fourth to the Mb, and so on, all in the same common ratio. As in the quantities J, 2, 4, 8, 16, &c. ; where the common...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 10

William Nicholson - 1821
...PROGRESSION, geometrical. Quantities are said to be in geometrical progression, or continual proportion, when the first is to the second, as the second to the third, and as the third to the fourth, &c. that is, when every succeeding term is a certain multiple, or part...

Elements of Science and Art: Being a Familiar Introduction to ..., Τόμος 2

John Imison - 1822
...: 1 : : 12:4; then by division 3 — 1 : 1 : : 12 — 4 : 4 and 3 — 1 : 3 : : 12 — 4> : 12. 63. Continued proportion is when the first is to the second...the fourth ; as the fourth to the fifth ; and so on. 64. Compound ratio is formed by the multiplication of several antecedents and the several consequents...

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...Proportional, or in Continued Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to...the fourth, as the fourth to the fifth, and so on, all in the same common ratio. As in the quantities 1, 2, 4, 8, 16, &c. ; where the common ratio is...

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 494 σελίδες
...in order. 12. Magnitudes, are said to be continually proportional, when the first has the same ratio to the second, as the second to the third, as the third to the fourth, and so on13. The ratio of the first, of any number of magnitudes of the same kind, to the last, is...

The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (civil engineer.) - 1830 - 182 σελίδες
...antecedent. Thus, if 3 : 1 :: 12 : 4 ; then, by division, 3 — 1 : 1 :: 12 — 4 : 4, and 3—1 : 3:: 12— 4: 12. 98. Continued proportion is when...ratios together, in the following manner : If A be to B as 3 to 5, B to C as 5 to 8, and C to D as 8 to 6 ; then A will be D, as ==^ , that is> A : D...

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 σελίδες
...B. [П. } l 11. Any number of magnitudes of the saine kind are said to be in continued proportion, when the first is to the second, as the second to the third, as the third to the fourth, and so on. Magnitudes A, B, C, D, Sec. which are in continued proportion, may be thus written, A :...




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