Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" If the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth... "
Pantologia. A new (cabinet) cyclopŠdia, by J.M. Good, O. Gregory, and N ...
by John Mason Good - 1813
Full view - About this book

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...being any integers, no, no, ' or mAl : na, : : mAt : no,. That is, if the first of four magnitudes has the same ratio to the second which the third has to the fourth ; then any equimultiples whatever of the first and third shall have the same ratio to any equimultiples...
Full view - About this book

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...greater ratio to the second, than the fifth has to the sixth. PROP. XIV.— THEOREM. If tlie first has the same ratio to the second which the third has to the fourth ; then, if the first be greater than the third, the second shall be greater than the fourth ; and if...
Full view - About this book

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

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...whatever of the first and the third being taken, and any equimultiples whatever of the second and the fourth, if the multiple of the first be less than...of the third is also less than that of the fourth, and if the multiple of the first be equal to that of the second, the multiple of the third is also...
Full view - About this book

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

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. 6. Magnitudes which have the same ratio are called proportionals....
Full view - About this book

Manual of Euclid: Books IV, V, VI, and Propositions 1-21 of Book XI

Euclid - 1868 - 141 pages
...Sivripov Kai rfrßpruv, кaQ' ¨iroiovovv iro\\air\aaia.afiŔv, rbv Óvrbv ejfi Xˇyo╗< If the first has the same ratio to the second which the third has to the fourth; any equimultiples whatever of the first and third shall have the same ratio to any equimultiples of...
Full view - About this book

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...fourth D. If, therefore, the first, &c. QED PROPOSITION IV. THEOREM. If the first of four magnitudes hat the same ratio to the second which the third has to the fourth ; then any equimultiples whatever of the first and third shall have the same ratio to any equimultiples...
Full view - About this book

A Treatise on Elementary Algebra

James Hamblin Smith - 1869
...multiple of the third is also equal to that of the fourth : or, " If the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth." We shall now shew, first, how to deduce Euclid's test of the equality...
Full view - About this book

Elementary Algebra

James Hamblin Smith - Algebra - 1870
...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...equimultiples whatsoever of the first and third being takeu and any equimultiples whatsoever of the second and fourth : " If the multiple of the first be...
Full view - About this book

Elementary algebra

James Hamblin Smith - 1870
...of the third is also equal to that of the fourth: or, • " If the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth." • . We shall now shew, first, how to deduce Euclid's test of the...
Full view - About this book

Elementary algebra

James Hamblin Smith - Algebra - 1872 - 398 pages
...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...whatsoever of the first and third being taken and auy equimultiples whatsoever of the second and fourth : " If the multiple of the first be less than...
Full view - About this book




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