Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. "
Elements of Plane and Solid Geometry - Page 134
by George Albert Wentworth - 1877 - 398 pages
Full view - About this book

The Rise and Development of the Theory of Series up to the Early 1820s

Giovanni Ferraro - Mathematics - 2007 - 392 pages
...number of magnitudes are proportional, then one of the antecedents is to one of the consequents as the sum of the antecedents is to the sum of the consequents (see Euclid [E]). In modern symbols, if sn = X/=i ai, then ai : o2 = (sn - an) . (sn - ai)Hence,...
Limited preview - About this book

Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 356 pages
...d = a : c. 3. d : b = c : a. 7. c : a = d : b. 4. d : c = b : a. 8. c : d = a : b. 361. Theorem IV. In a series of equal ratios the sum of the antecedents...consequents as any antecedent is to its consequent. aceo Proof. If T — i — "7.— 7 ? let # represent the value of each bdfh of the ratios. Then a...
Full view - About this book

Proceedings of the Edinburgh Mathematical Society, Volume 6

Edinburgh Mathematical Society - Electronic journals - 1888 - 154 pages
...the terms D, E, F are proportional. Since A : B = B : C, by composition A + B:B = B + C:G; therefore the sum of the antecedents is to the sum of the consequents in the same ratio, that is, A + 2B + C:B + C = B + C:C. Now D = A + 2B + C, E = B + C, and F = C ;...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF