Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" IF magnitudes, taken separately, be proportionals, they shall also be proportionals when taken jointly, that is, if the first be to the second, as the third to the fourth, the first and second together shall be to the second, as the third and fourth together... "
A Treatise on the Elements of Algebra - Page 112
by Bewick Bridge - 1821 - 227 pages
Full view - About this book

Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...ratio to B than E has to F. If therefore the firft of fix magnitudes has the fame ratio io the fecond, as the third to the fourth; and the third to the fourth has a greater ratio than the fifth to the fixth : then the firft to the fecond will have a greater...
Full view - About this book

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...separately, be proportionals, see N. they shall also be proportionals when taken joindy, that is, if the first be to the second, as the third to the fourth, the first and second together shall be to the second, as the third and fourth together to the fourth....
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...taken separately, be proportionals, they will also be proportionals when taken jointly, that is, if the first be to the second as the third to the fourth, the first and second together will be to the second, as the third and fourth together to the fourth....
Full view - About this book

Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...taken separately, he proportionals, they shall also be proportionals, when taken jointly, that is, if the first be to the second, as the third to the fourth, the first and second together shall he to the second, as the third and fourth together to the fourth....
Full view - About this book

An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...both sides by bd, and (-—=—-, or) ~= 4-, that is,a:b::c:d. Euclid 17, 6. bd 61. If the first term be to the second, as the third to the fourth, and...as the fifth to the sixth, then will the first be to the second as the fifth to the sixth. Let a:b::c:d, and c : d : : e :f, then will a:b::e :f; for...
Full view - About this book

New Series of The Mathematical Repository, Volume 3

Thomas Leybourn - Mathematics - 1814 - 420 pages
...found to be 3/. i8.r. g</, Required thejate per cent, per annum. a. If the first of six magnitudes be to the second as the third to the fourth, and the fifth to the second as the sixth to the fourth; Prove that the first and fifth together will be to...
Full view - About this book

Easy Introduction to Mathematics, Volume 1

Charles Butler - Mathematics - 1814 - 540 pages
...or two more particulars will require an explanation. If four numbers are proportionals, that is, if the first be to the second as the third to the fourth, then will the first be to the third аз the second to the fourth; and this accounts for the usual...
Full view - About this book

An Elementary Treatise on Algebra

Bewick Bridge - Algebra - 1818 - 254 pages
...(dividing by cd) we have — = —,> or -=-1 5 .'. a : с : b : d, and b : d :; a.: c. cd cd, с а Тн. 5. "If there be six proportional quantities,...the fifth to the sixth ; then will the first " be to the second as the fifth to the sixth." For let a : b :: с : d, ij г iл. ac , с eae . and с:...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...demonstrated, A : C : : B : D, and inversely (A. 5.) C : A : : D : B. Therefore, &c. q. ED PROP. C. THEOE. If the first be to the second as the third to the fourth ; and if the first be a multiple or a part of the second, ihe third is the same multiple or the same part...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...taken separately, be proportionals, they will also be proportionals -when taken jointly, that is, if the first be to the second as the third to the fourth, the first and second together will be to the second, as the third and fourth together to the fourth....
Full view - About this book




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