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" ... magnitude. For example, if A, B, C, D be four magnitudes of the same kind, the first A is said to have to the last 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... "
The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ... - Page 42
by Benjamin Donne - 1775 - 159 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...ratio which the fecond has to the third, and of the ratio which the third has to the fourth, and fo on unto the laft magnitude. For example, If A, B, C,...have to the laft D the ratio compounded of the 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...fecond has to the third, and of the ratio which the third has to the fourth, and fo on unto the lart magnitude. For example, If A, B, C, D be four magnitudes...have to the laft D the ratio compounded of the 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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...the third, and of the ratio which the third has to the fourth, and fo on unto the laft magnitude. iVr example, If A, B, C, D be four magnitudes of the fame kind, the firll A is faid to have to the laft I) the ratio compounded of the ratio of A to B, and of the ratie...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 pages
...ratio .which the fecond has to the third, and of the ratio which the third has to the fourth, and fo on unto the laft magnitude. For example, if A, B, C,...be four magnitudes of the fame kind, the firft A is laid to have to the laft D the ratio compounded of the ratio of A to B, and of the ratio of B to C,...
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The Elements of Mathematical Analysis, Abridged: For the Use of Students ...

Nicolas Vilant - Algebra - 1798 - 170 pages
...the fourth ; and fo en unto the lalt magnitude. For * ПА. Analy▀, Def. XVIII. Ceril. V. Scholium. For example, if A, B, C, D, be four magnitudes of the fame idndj the firft, A, is faid to have to the laft, D, the ratio compounded of the ratio A to B, and of...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1804 - 440 pages
...the fecond has to the third, and of the ratio which the third has to the fourth, and fo on unto die laft magnitude. For example, if A, B, C, D be four magnitudes of the fan: kind, the firft A is faid to have to the laft D, the ratio compounded of the ratio of A to B,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...second has to the third, and of the ratio which the third has to the fourth, and so on unto the last magnitude. For example, if A, B, C, D be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratio of A to B, and...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...second has to the third, and of the ratio which the third has to the fourth, and so on unto the last magnitude. For example, if A, B, C, D be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratio of A to B, and...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...denomination still by unity, in any number of proportionals. Definition A^to wit, of compound ratio. For example, if A, B, C, D, be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratio of A'to B, and...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...second has to the third, and of the ratio which the third has to the fourth, and so cni unto the last magnitude. For example, if A, B, C, D, be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratio of A to B, and...
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