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" In any proportion the, terms are in proportion by Division ; that is, the difference of the first two terms is to the first term, as the difference of the last two terms is to the third term. "
Essentials of Algebra: Complete Course (an Adequate Preparation for the ... - Page 261
by John Charles Stone, James Franklin Millis - 1905 - 506 pages
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...proportion by DIVISION ; that is, the difference of the first two terms will be to the first term, as the difference of the last two terms is to the third term. Thus, if a : b = с : d then, ad = b с Subtracting both members from ac, ac — ad = ac —...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 324 pages
...are in proportion by Division ; that is, the difference of the first two terms is to the first term, as the difference of the last two terms is to the third term. Let a : b = с : d. Then, ad = be. Subtracting both members from ac, ac — ad = ac — &e, or,...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 370 pages
...are in proportion by Division; that is, the difference of the first two terms is to the first term, as the difference of the last two terms is to the third term. Let a : b = с : d. Then, ad = be. Subtracting both members from ac, ac — ad = ac — be, or,...
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A Complete Course in Algebra

Webster Wells - 1885 - 368 pages
...are in proportion by Division; that is, the difference of the first two terms is to the first term, as the difference of the last two terms is to the third term Let a : b = с : d. Then, ad — be. Subtracting both members from ac, ac — ad = ac — bc,...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...are in proportion by DIVISION ; that is, the difference of the first two terms is to the first term as the difference of the last two terms is to the third term. Let a:b = c:d, Then ad = be. Subtracting both members of the equation from ac, ac — ad = ac...
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A Short Course in Higher Algebra: For Academies, High Schools, and Colleges

Webster Wells - Algebra - 1889 - 584 pages
...are in proportion by Division ; that is, the difference of the first two terms is to the first term, as the difference of the last two terms is to the third term, Let a : b = с : d. Then, ad = &c. Subtracting both members from ac, ac — ad = ac — be, or,...
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College Algebra

Webster Wells - Algebra - 1890 - 560 pages
...terms are in proportion by Division; that is, the difference ofthefirnt two terms is to the first term as the difference of the last two terms is to the third term. Let a : b = c : d. Then, ad = bc. Subtracting both members from ac, ac — ad = ac — be, or,...
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A Drill-book in Algebra

George William Jones - Algebra - 1892 - 300 pages
...proportion. THEOR. 6. In any proportion the difference of the first two terms is to the first term or the second as the difference of the last two terms is to the third term or the fourth. [division. COR. 1. The sum of 'the first two terms is to their difference as the...
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Mathematics Self-taught: The Lübsen Method for Self-instruction, and Use in ...

Heinrich Borchert Lübsen - Algebra - 1897 - 364 pages
...of the sum or difference of the first two terms is to either the first or second term, as the sum or difference of the last two terms is to the third or fourth term. Expressed in symbols : a:b=c:d or 8:2=12:3 a-±-b : a=c-±-d : c ; 10 : 2=15 : 3 or a-±-b :...
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Essentials of Algebra for Secondary Schools: By Webster Wells

Webster Wells - Algebra - 1897 - 434 pages
...are in proportion by Division; that is, the difference of the first two terms is to the first term as the difference of the last two terms is to the third term. Let the proportion be a : b = с : d. Then, ad — be. Subtracting each member of the equation...
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