Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The difference between the first and second terms of a proportion is to the second, as the difference between the third and fourth is to the fourth. The given proportion, a : b : : c : d, , ... ac may be written, 6~d... "
A Treatise on Arithmetic: Through which the Entire Science Can be Most ... - Page 285
by Noble Heath - 1856 - 455 pages
Full view - About this book

Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...alternation and inversion, A=fcE : B : : C=J=F : D. PROP. XX. THEOR. In continued proportionals, the difference between the first and second is to the second, as the difference between the first and last terms to the sum of all the terms, excepting the first. Let A:B::B:C::C:D::D:E; then...
Full view - About this book

The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...21. Book 5. 1 7- Dividendo ; when it is concluded, that if there be four magnitudes proportional, the difference between the first and second is to the...difference between the third and fourth is to the fourth. Note. If A : B : : C : D then A— B : B : : C— D : D. This def. is proved by Cor. 2. Prop. 25. Book...
Full view - About this book

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 516 pages
...18th of this book. 19. Dividing ; when it is inferred, if four magnitudes be pro portional, that the difference between the first and second is to the...difference between the third and fourth is to the fourth. Prop. 17th of this book and scholium thereto. 20. Con-verting; when it is inferred, if four magnitudes...
Full view - About this book

The Complete Practical Arithmetician: Containing Several New and Useful ...

Thomas Keith - Arithmetic - 1822 - 354 pages
...A+BXD=C+DXB, there fore (art. 12.) A+B : B :: C-{-D : D. 16. If four quantities be proportional, the difference between the first and second, is to the...difference between the third and fourth, is to the fourth. Thus, if A : B :: c : D, then DIVIDENDO, A — B : B :: c — D : D. For AD=BC (art 11.) take DB from...
Full view - About this book

The First Six Books with Notes

Euclid - 1822 - 222 pages
...fourth. Cor. Prop. 21. 17- By division, when we infer that if there be four magnitudes proportional, the difference between the first and second is to the...second as the difference between the third and fourth to the fourth. Cor. 2. Prop. 25. 18. By conversion, when we infer that if there be four magnitudes...
Full view - About this book

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 508 pages
...magnitudes be proportional; the difference between the first and second, is to the second or first, as the difference between the third and fourth, is to the fourth or third, as the case may be. four proportionals, the antecedents A —— I g Part I .—Let AB, CD,...
Full view - About this book

Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...B D' BD ' ' ' ^S~ " " D •> or A + B : B : : C + D : D. 38. ^ four quantities be proportional, the difference between the first and second is to the...difference between the third and fourth is to the fourth. A - BAr BB: • ''c For -=, and2_- D- . B !>' B-JJ' A — B : B : : C — D : D. 39. If four quantities...
Full view - About this book

The student's algebra

John Darby (teacher of mathematics.) - 1829 - 212 pages
...the fourth. Thus, if a;b; ;c'd, then will a+b:by.c+d;d. 4. If four quantities be proportionals, the difference between the first and second is to the...difference between the third and fourth is to the fourth. Thus,ifa:6::e;rf; then will a— b ; b : ; c — did. 5. If four quantities be proportionals, the sum...
Full view - About this book

The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...above the fourth. Fig. 24. Cor. 2. If there be four magnitudes proportional, A to B as C to D, the difference between the first and second is to the...second, as the difference between the third and fourth to the fourth. (i )Prop.20. For, since A is to B as C to D, B is to A as D to C (1), therefore B is...
Full view - About this book

A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 172 pages
...ART. is called COMPONENDO, or Composition. ART. 173. In a series of four proportional right lines, the difference between the first and second is to the...difference between the third and fourth is to the fourth. Let AB be to CD as EF to GH. Then the difference between AB and CD is to CD as the difference between...
Full view - About this book




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