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

First Course in Algebra

William Benjamin Fite - Algebra - 1913 - 358 pages
...last equation. A similar result holds for any number of equal ratios, and may be stated as follows : In a series of equal ratios the sum of the antecedents...consequents as any antecedent is to its consequent. CHAPTER XV QUADRATIC EQUATIONS 156. In 108 the student learned how to solve certain quadratic equations,...
Full view - About this book

Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...c/d, to prove that (a + 6)/( - 6) = (c+d)/(c- d). Proof. We have = . = . bdbd Th E' p Theorem H. In a series of equal ratios the sum of the antecedents...consequents as any antecedent is to its consequent. Given a/6 = c/d = e/f= —, to prove that ace Proof. Let k be the value of any one of the equal ratios...
Full view - About this book

First Course in Algebra

William Benjamin Fite - Algebra - 1913 - 304 pages
...last equation. A similar result holds for any number of equal ratios, and may be stated as follows : In a series of equal ratios the sum, of the antecedents...consequents as any antecedent is to its consequent. CHAPTER XV QUADRATIC EQUATIONS 149. In 108 the student learned how to solve certain quadratic equations,...
Full view - About this book

Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...If four quantities are in proportion, they are in proportion by composition and division. Theorem H. In a series of equal ratios the sum of the antecedents...consequents as any antecedent is to its consequent. PART II. PROPORTIONAL LINE-SEGMENTS 145. Theorem I. A line parallel to the base of a triangle divides...
Full view - About this book

Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 pages
...257. QED In a similar manner it may be shown that o — b:a = c — die. PROPOSITION VI. THEOREM 269. In a series of equal ratios, the sum of the antecedents...consequents as any antecedent is to its consequent. Given a: b=c:d=e:f=g : h. To prove that a + c + e + g:b + d +/+ h==a:b. r, <• T iaoeg Proof. Let...
Full view - About this book

Plane Geometry

Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...that (a + b)/(a — 6) = (c+d)/(c— d). Proof. We have ab = c_ + d> mda^b = ed. Th. E,F Theorem H. In a series of equal ratios the sum of the antecedents...consequents as any antecedent is to its consequent. Given a/6 = c/d = e/f= —, to prove that . ace b+d+f+- bdf Proof. Let A; be the value of any one of...
Full view - About this book

Second Course in Algebra

Webster Wells, Walter Wilson Hart - Algebra - 1913 - 362 pages
...d EXAMPLE. Since — = Щ- , then, ™1. should equal ^JJ . Does it ? 2 3 10 — 2 15 — 3 196. In a series of equal ratios, the sum of the antecedents is to he sum of the consequents as any antecedent is to its consequent. If = = !, etc, prove + c...
Full view - About this book

A Review of Algebra

Romeyn Henry Rivenburg - Algebra - 1914 - 92 pages
...pair, etc. 3. Alternation. 4. Inversion. 5. Composition. 6. Division. 7. Composition and division. 8. In a series of equal ratios, the sum of the antecedents...is to the sum of the consequents as any antecedent, etc. Special method .of proving four quantities in proportion. Let - = x, a = bx, etc. Development...
Full view - About this book

Solid Geometry

Sophia Foster Richardson - Geometry, Solid - 1914 - 234 pages
...ratio of similitude of Fl and F2. Then m^_ _ m2 _ m3 _ ..._ m/ m2' m3' (In a continued proportion the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.) That is, area of surface of Fl ^ 3g area of surface of F2 477. THEOREM. The ratio of the volumes of...
Full view - About this book

A Review of Algebra

Romeyn Henry Rivenburg - Algebra - 1914 - 92 pages
...etc. (c) Alternation. (e) Composition. (d) Inversion. (/) Division, (gr) Composition and division. (A) In a series of equal ratios, the sum of the antecedents is to the sum of the consequents etc. (г) Like powers or like roots of the terms of a proportion etc. 6. If x : m : : 13 : 7, write...
Full view - About this book




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