Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" PROP. I. THEOR. If there oe two straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 50
by Euclides - 1841 - 351 pages
Full view - About this book

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

John Mason Good - 1813
...about a diameter, together with the two complements, is called a gnomon. Prop. I. Theor. If there be two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line. Prop. II. Theor. If a straight line be divided īnto any two parts, the rectangles contained by the...
Full view - About this book

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

Charles Butler - Mathematics - 1814
...several parts a, b, and c, of the divided line s." QED Cor. Hence, if two given straight lines be each divided into any number of parts, the rectangle contained by the two straight lines will be equal to the sum of the rectangles contained by each of the parts of the one, and each of the...
Full view - About this book

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

Euclides - 1816 - 528 pages
...at the opposite angles of the parallelograms ' which makes the gnomon.' PROP. I. THEOR. IF there be two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line. BouK II. Let A and BC be two straight lines ; and let BC be di-^ " vided into any parts in the points...
Full view - About this book

An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...THE FIRST SIX BOOKS OF i .' • : BOOK II. PROP, I. (I.) IF two given straight lines be divided, each into any number of parts, the rectangle contained...lines, is equal to the rectangles contained by the several parts of the one and the several parts of the other. PROP. V. (H.) If a straight line be divided...
Full view - About this book

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

John Playfair - Circle-squaring - 1819 - 333 pages
...for the sake of brevity, be ' called the gnomon AGK or ' EHC." A E. K G PROP. I. THEOR. ff there be two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line. • */ -i Let A and BC be two straight lines ; and let BC be divided into any parts in the points D,...
Full view - About this book

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

John Mason Good - 1819
...about a diameUr, together with the two complements, is called a gnomon. Prop. I. Thpor. If there be two straight lines,, one of which is divided into...lines, is equal to the rectangles contained by the undirided lin--, and the several parts of the divided line. , Prop. 1 1. Theor. If a straight line...
Full view - About this book

A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 410 pages
...THE ELEMENTS OF EUCLID. BOOK II. PROP. I. 1 . THEOREM. If two given straight lines be divided, each into any number of parts, the rectangle contained...lines, is equal to the rectangles contained by the several parts of the one and the several parts of the other. Let the given straight line AB be divided...
Full view - About this book

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 pages
...angles of the parallelograms, which make the gnomon. PROPOSITION I. THEOREM. If tliere be two right lines, one of which is divided into any number of parts, the rectangle comprehended under the whole and divided line, is equal to the rectangles contained under the whole...
Full view - About this book

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

Robert Simson - Trigonometry - 1827 - 513 pages
...at the opposite angles ' of the parallelograms which make the gnomon'. PROP. I. THEOR. If there be two straight lines, one of which is divided into any number of parts; the rectangle contained by the 1wo straight lines, is equal to the rectangles contained by the undivided line, and the several parts...
Full view - About this book

Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 208 pages
...PROPOSITION IV. THEOREM. If there be two straight lines of which one is divided into parts, the sum of the rectangles contained by the undivided line, and the several parts of the other, will be equal to the rectangle contained by the two whole lines. Let the lines be AB, AC, of...
Full view - About this book




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