Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" If there be 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. "
Elements of Euclid Adapted to Modern Methods in Geometry - Page 77
by Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 216 pages
Full view - About this book

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

John Playfair - Circle-squaring - 1819 - 350 pages
...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 number of parts ; the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. • */ -i Let...
Full view - About this book

A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 486 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 by the two straight lines, is equal to the rectangles contained by the several parts of the one and the several parts of the other. Let the given...
Full view - About this book

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

John Playfair - 1819 - 354 pages
...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. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ; the rectangle...
Full view - About this book

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

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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. Let A and BC be two straight lines; and let BC be 'divided into any parts in the points D, E; the rectangle...
Full view - About this book

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...parallelograms which make the gnomon.' Propo˝lion. 7. Theorem╗ If there be two straight lines, one of which is divided into any number of parts ; the...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC...
Full view - About this book

Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 228 pages
...(Cor. 5.). 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

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

Robert Simson - Trigonometry - 1827 - 546 pages
...' 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

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...is divided into any number of partt, the rectangle contained by the tiro lines shall be equal to tht sum of the rectangles contained by the undivided line, and the several parts of the tliridfd line. Let AB and С be two straight lines, of which AB is divided into the parts AI), DE,...
Full view - About this book

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

John Playfair - Euclid's Elements - 1833 - 346 pages
...fj. Q " called the gnomon AGK or "EEC." AE DEC PROP. I. THEOR. If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained by tlte two straight lines is equal to the rectangles contained by the undivided line, and the several...
Full view - About this book

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

Euclid - 1835 - 540 pages
...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...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. • Let A and...
Full view - About this book




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