Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books 71 - 80 of 96 on The first of four magnitudes is said to have the same ratio to the second, which....
" The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple... "
A system of practical mathematics; being no.xvi. of a new series of school-books - Page 111
1845
Full view - About this book

Elementary Algebra: With Brief Notices of Its History

Robert Potts - Algebra - 1879
...VII., def. 20. Hence it follows that a, b, c, d are proportionals by Eue. V., def. 5, ' namely : — | The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken,...
Full view - About this book

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...of E. Wherefore, if two magnitudes &c. QED PROPOSITION A. THEOREM. If the first of four magnitudes have the same ratio to the second that the third has to the fourth, then, if thejftrtt be greater than the second, the third thatt also be greater than the fourth, and...
Full view - About this book

Elements of Geometry

George Albert Wentworth - Geometry, Plane - 1881 - 250 pages
...a ? a : b ?-b : : a : b. Ч 1 QED 272. DEP. Euclid's test of a proportion is as follows : — "The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken,...
Full view - About this book

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...they cannot be said to be of the same kind, and so cannot have any ratio to each other. T. The Brst of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken,...
Full view - About this book

Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883
...representing the ratios must be equal. Euclid's test is given in Book v. Def. 5, where it stands thus : \ " The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken...
Full view - About this book

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...of E. Wherefore, if two magnitudes &c. QKD PROPOSITION A. THEOREM. If the first of four magnitudes have the same ratio to the second that the third has to the fourth, then, if the first be greater than the second, the third shall also be greater than the fourth, and...
Full view - About this book

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...of the fourth, equal to it, or less. 6. Magnitudes are said to be proportionals when the first has the same ratio to the second that the third has to the fourth; and the third to the fourth the same ratio which the fifth has to the sixth ; and so on, whatever be...
Full view - About this book

Notes on algebra

Howard Candler - Algebra - 1885 - 94 pages
...fourth, that is, д, l>, c, d are said to be proportionals if — = b а The geometrical definition is 2. The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when, any equimultiples whatever being taken of the ist and 3rd,...
Full view - About this book

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...number of metres may make, a greater length can always be found containing an exact number of yards. 5. The first of four magnitudes is said to have the '...any equimultiples whatever of the second and fourth, the multiple of the third is greater than, equal to, or less than that of the fourth, according as...
Full view - About this book

Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 400 pages
...greater than, equal to, or less than the multiple of the fourth — under those conditions, the first is said to have the same ratio to the second that the third has to the fourth ; and the four magnitudes are called proportionals. And, conversely, if four magnitudes are proportionals,...
Full view - About this book




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