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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. "
Elements of Geometry: Containing the Principal Propositions in the First Six ... - Strona 155
autor: John Bonnycastle - 1803 - Liczba stron: 279
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Elements of Geometry: With Their Application to the Mensuration of ...

Thomas Simpson - 1760 - Liczba stron: 296
...middle one is faid to be a Mean-proportional between the other two ; and the laft, 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. ABCD, 6. Quantities are faid to be continually...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - Liczba stron: 406
...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 ..., Tom 1

Charles Hutton - 1816 - Liczba stron: 610
...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: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - Liczba stron: 616
...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 - 1822 - Liczba stron: 508
...to the second, as the second has to th* third. 11. Of four proportional magnitudes, the last is said to be a fourth proportional, to the other three taken in order. 10. Of three proportional magnitudes, the middle one, is said to be, a mean proportional, between the...
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Elements of Science and Art: Being a Familiar Introduction to Natural ..., Tom 2

John Imison - 1822 - Liczba stron: 488
...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 ..., Tom 1

John Nicholson - 1825 - Liczba stron: 822
...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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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - 1830 - Liczba stron: 240
...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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Mechanics' Magazine, and Journal of the Mechanics' Institute, Tom 4

1835 - Liczba stron: 398
...a Third Proportional to the first and second. 6. Of four proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 7. Quantities are said to be Continually Proportional, or in Continued Proportion, when the ratio is...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - Liczba stron: 394
...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. 4. Three quantities are in proportion, when the first has the same ratio to the second, that the second...
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