Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" THEOR. IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth... "
The First Six Books of the Elements of Euclid, with a Commentary and ... - Page 107
by Euclid, Dionysius Lardner - 1828 - 324 pages
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
...Stc. PROP. C. THEOR. See N. IF the first be the same multiple of the second, or the same part of it, that the third is of the .fourth ; the first is to...the fourth. Let the first A be the same multiple of B the second, that C the-third is of the fourth D : A is to B as C is to D. Take of A and C any equimultiples...
Full view - About this book

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

John Playfair - Mathematics - 1806 - 320 pages
...QED Bookv, PROP. B. THEOR. IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth, the first is to the second as the third to the fourth. First, if mA and mB be equimultiples of the magnitudes A and B, mA : A : : »iB : B....
Full view - About this book

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...PROP. C. THEOR. See Note. IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth; the first is to the second, as the third is to the fourth. A E Let the first A be the same multiple of B the second, that C the third is of the fourth D: A is...
Full view - About this book

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

John Mason Good - 1813 - 714 pages
...inversely. Prop. C. Theor. If the first be the same multiple of the second, or the same part of it, that the third is of the fourth; the first is to the second, a* the third is to the fourth. Prop. D. Theor. If the fust be to the second as the third to the fourth,...
Full view - About this book

Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...PROPORTION. 83. The foregoing articles treat of the properties of what is called DIRECT PROPORTION, where the first is to the second as the third is to the fourth ; but when the terms are so arranged, ' It must he understood, tbat what we have delivered on proportion,...
Full view - About this book

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...D H PROP. C. THEOR. Se«N. IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to...the fourth. Let the first A be the same multiple of B the second, that C the third is of the fourth D : A is to B as C is to D. Take of A and C any equimultiples...
Full view - About this book

A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 446 pages
...THEOREM. If the first of four magnitudes be the same multiple of the second, or the same part ofit, that the third is of the fourth, the first is to the second, as the third is to the fourth. First, let A •= pB, and C = pD ; then A : B :: C:D. Let there be taken of A and C any equi-multiples...
Full view - About this book

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

John Playfair - Circle-squaring - 1819 - 350 pages
...&c. Q, ED PROP. B. THEOR. If the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second as the third to the fourth. First, if mA, mB be equimultiples of the magnitudes A and :B, mA : A : : mB : B. Take...
Full view - About this book

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...: rB. QED PROr. C. THEOR. If the first be (lie same multiple of the second,' or the same part of it that the third is of the fourth ; the first is to the second as the third is to the fourth. DEMONSTRATION. t 1. Supposing m lo be any integer greater than unity, let w»A the lirst be the same...
Full view - About this book

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...: rB. QED PROP. C. THEOfl. If the first be the satne multiple of the second, or 1he same part of it that the third is of the fourth ; the first is to. the second as the third is to the fourth. DEMONSTRATION. I. Supposing m to be any integer greater than unity, let mA the first be the same multiple...
Full view - About this book




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