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

## 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...

## 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...

## 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...

## 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...

## 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,...

## 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...

## 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...

## 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...