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" When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of proportionals. "
Instructions Given in the Drawing School Established by the Dublin Society ... - Side 165
av Joseph Fenn - 1769
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 sider
...which it has to the second. 11. When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, etc., increasing the denomination still by unity, in any number of...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 sider
...it ia called duplicate ratio. XL When four magnitudes are continual proportionals, the first is said to have to the fourth, the triplicate ratio of that which it has to the second, and so on; quadruplicate, &c., increasing the denomination still by unity in any number of...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 sider
...of that which it has to the 11. When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, (fee., increasing the denomination still by unity, in any number...
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A Treatise on Algebra

Elias Loomis - 1855 - 356 sider
...213, we have a : c : : «' : 6'. (226.) If four quantities are in continued proportion, the first will have to the fourth the triplicate ratio of that which it has to the second. Let a, b, c, d be four quantities in continued proportion, so that a :b : : b : c : : c : d,...
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A Treatise on Algebra

Elias Loomis - 1858 - 394 sider
...213, we have a : c : : a' : V. (226.) If four quantities are in continued proportion, the first will have to the fourth the triplicate ratio of that which it has tc, the second. Let a, b, c, d be four quantities in continued proportion, so that a : b :: b : c :...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 sider
...which it has to the second. 11. When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, <t<:., increasing the denomination still by unity, in any number...
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An elementary course of practical mathematics, Del 1

James Elliot - 1860 - 252 sider
...subduplicate ratio of 20 to 45 ? DEF. 7. When four quantities are in continued proportion, the first is said to have to the fourth the Triplicate Ratio of that which it has to the second ; and the first is said to have to the second the Subtriplicate Ratio of that which it has to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...which it has to the second. XL When four magnitudes are continual proportionals, the first is said to have to the fourth, the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c. increasing the denomination still by unity, in any number of...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 sider
...proposition« 19 and 20, bk. vi. XI. — When four magnitudes are continual proportionals, the first is said to have to the fourth, the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity in any number of...
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The Propositions of the Fifth Book of Euclid Proved Algebraically: with an ...

George Sturton Ward - 1862 - 104 sider
...Introduction, pp. 21 and 22. XI. "When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of...
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