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" Four quantities are said to be proportional when thejatio of the first to the second is the same as the ratio of the third to the fourth. "
A Dictionary of Science, Literature, & Art: Comprising the Definitions and ... - Page 113
edited by - 1867
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 pages
...and C : D is AC AX C BX D' OT B~X~D' 125. A PROPORTION is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios of A : B and X : Y, being equal to A ~^T each other,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 pages
...and C : D is AC AX C BX D' °r BX D' 125. A PROPORTION is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios of A : B and X : Y, being equal to i ~V~ each other,...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...of the modern French mathematicians. 303. A PROPORTION is an equality of ratios. Four quantities are in proportion when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios a : b and с : d, if equal to each other, form a...
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Practical Arithmetic ...

John Purdue Bidlake - 1866 - 232 pages
...composing them are said tobe in proportion. In other words, " Four quantities or numbers are said to be in proportion when the ratio of the first to the second, is the same ns the ratio of the third to the fourth." Thus, the ratios of 8 to 16, and 24 to 48 being the same...
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A Dictionary of Science, Literature, & Art: Comprising the ..., Volume 3

William Thomas Brande, George William Cox - 1867 - 1090 pages
...In Arithmetic and Geometry, tho equality or similitude of ratios ; four numbers or magnitudes being said to be proportional, or in proportion, when the...third to the fourth, or when the first divided by the second gives the same quotient as the third divided by tho fourth. The definition of proportion has...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 pages
...where f=f —^, both the same ratio. 81. Four quantities are said to be proportional when thejatio of the first to the second is the same as the ratio of the third to the fourth. As of the four A (4), B (2), C (10), D (5), where i=±g.—2, both the same ratio. Note. To denote...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 pages
...and C : D is ACAXC BX D' °r BX D' 125. A PROPORTION is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios of A,: B and X : Y, being equal to A "V each other,...
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Dictionary of Scientific Terms

P. Austin Nuttall - 1869 - 356 pages
...he found. — In mathematics, the equality of ratios ; four numhers or quantities heing said to he in proportion when the ratio of the first to the second is the same as that of the third to the fourth, as z, 6, 3, 9, in which the equal ratios of a to 6 and 3 to 9 may...
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A progressive arithmetic for elementary schools, ed. by F. Young. 6 pt. [in ...

Francis Young (F.R.G.S.) - 1872 - 204 pages
...composing them are said to be in proportion. In other words, " Four quantities or numbers are said to be in proportion when the ratio of the first to the second, is the same a« the ratio of the third to the fourth." Thus, the ratios of 8 to 1o, and 24 to 48, being the same...
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Technical Arithmetic and Mensuration

Charles W. Merrifield - 1872 - 332 pages
...ratios, and this it is which is commonly called PROPORTION. Four quantities are said to be proportional when the ratio of the first to the second is the same as that of the third to the fourth. Simple cases of this are easily stated. For instance, the ratio of...
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