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" D, the ratio compounded of the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if... "
Elements of arithmetic for the use of schools - Page 197
by William Scott - 1854 - 215 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...ratio A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is faid to be compounded of the ratios of A to B, B to C, and C to D. And if A has to B, the fame ratio which E has to F ; and B to C, the fame ratio that G has to H; and...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...of A to B, and cf the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is faid to be compounded of the ratios of A to B, B to C, and C to D : And !ul if A has to B, the fame ratio which E has to F ; and B Book V. to C, the fame ratio that...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...of A to B, and of the ratie of B to C, and of the ratio of C to 1) ; or, the ratio of A to D is faid to be compounded of the ratios of A to B, B to C, and C to D : And if A has to B, the fame ratio which E has to F ; and B Book. V. C, the fame ratio that G has...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is faid to be compounded of the ratios of A to B, B to C, and C toD. And if A:B::E:F;andB:C::G:H, andC:D::KiL, then, fince by this definition A has to D the ratio...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...folid CD, as the ftraight line a is to d. But the ratio of a to d is faid to be i Def.A-5. compounded i of the ratios of a to b, b to c, and c to d, which are the fame with the ratios of the fides AE to EC, FE to EG, and HE to EK : Therefore the folid...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...it, as the ,ftraight line a is to d. but the ratio of a to d is faid to be compounded d.Pef.A.5. d of the ratios of a to b, b to c, and c to d, which are the fame with the ratios of the fides MA to AP, NA to AQj and OA to AR, each to each. and...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...A to B, and of the ratio of B toC. and of the ratio of C to D ; or, the ratio of A to D is faid ro be compounded of the ratios of A to B, B to C, andC toD. And if A:B::E:F;andB:C::G:H, and C : D ; :K:L, then, fince by this definition A has to D...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. Andif A : B : : E : F,andB : C : : G : H,andC : D : : K : L, then, since by this definition A has to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to,. D: And if A has to B the same ratio which E has to F ; and B to C Book V. the same ratio that G has to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...compounded of the ratio of A to B, and the ratio of B to C, and the ratio of C to D, or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D : And if" A has to B the same ratio which E has to F; and BaonV. B to C, the same ratio that G has...
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