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" Of four proportional quantities, the first and third are called the antecedents, and the second and fourth the consequents ; and the last is said to be a fourth proportional to the other three taken in order... "
First Lessons in Algebra: Embracing the Elements of the Science - Page 230
by Charles Davies - 1839 - 252 pages
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 296 pages
...a third proportional to the firft and fecond. 5. Of four proportional quantities, the laft is faid to be a fourth proportional to the other three, taken in order. 6. If any number of magnitudes be continually proportional, the ratio of the firft and third is faid...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...; and .the last, a Third Proportional to the first and second. 81. Of four proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional, or in Contmued Proportion, when the ratio is...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 1

Charles Hutton - Mathematics - 1816 - 610 pages
...Third Proportional to the first and second. 81. Of four proportional quantities, the last is s.iid to be a Fourth Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional, or in Continued Proportion, when the -ratio...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 1818 - 646 pages
...; and the last, a Third Proportional to the first and second. 81. Of four proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional, or in Continued Proportion, when the ratio...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...; and the last, a Third Proportional to the first and second. 81. Of four proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional, or in Continued Proportion, when the ratio...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 516 pages
...; and the last, a third proportianal, to the first and second. 11. Of four proportional magnitudes, the last is said to be a fourth proportional, to the other three taken in order. 12. Magnitudes, are said to be continually proportional, when the first has the same ratio to the second,...
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Elements of Science and Art: Being a Familiar Introduction to ..., Volume 2

John Imison - Art - 1822 - 488 pages
...two ; and the last a third proportional to the first and second. 57. Of four proportional quantities, the last is said to be a fourth proportional to the other three, taken in order. 58. Ratio of equality is that which equal numbers bear to each other. 59. Inverse ratio is when the...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Machinery - 1825 - 822 pages
...two ; and the last a third proportional to the first and second. 92. Of four proportional quantities, the last is said to be A fourth proportional to the other three, taken in order. 93. Ratio of equality is that which equal numbers bear to each other. 94. Inverse ratio is when the...
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A Treatise on Surveying: Containing the Theory and Practice: to which is ...

John Gummere - Surveying - 1828 - 404 pages
...the same ratio as two other quantities, the four quantities taken in order are called proportionals ; and the last is said to be a fourth proportional to the other three. 42. When three quantities of the same kind are such that the first has to the second the same ratio...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - Building - 1830 - 240 pages
...two ; and the last a third proportional to the first and second. 92. Of four proportional quantities, the last is said to be a fourth proportional to the other three, taken in order. 93. Ratio of equality is that which equal numbers bear to each other. 94. Inverse ratio is when the...
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