 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pagine
...g. 1. — t BOOK II. PROPOSITION I. — THEOREM. (Euc. II. 1.) Jf there be two straight lines, oiie of which is divided into any number of parts, the...contained by the two straight lines is equal to the sum of the rectangles contained by the undivided line, and the several parts of the divided line. Let... | |
 | Edward Atkins - 1874 - 428 pagine
...opposite angles of the parallelograms which make the gnomon. Proposition 1. — Theorem. If t/iere be two straight lines, one of which is divided into any number of parts, t/ie rectangle contained by the two straight lines is equal to t/ie rectangles contained by the undivided... | |
 | Henry Major - 1876 - 784 pagine
...straight line from a given point in a side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. What is the corresponding formula in Algebra ? 3. If a straight line be divided into two equal parts... | |
 | Euclides, James Hamblin Smith - 1876 - 376 pagine
....: rect. EFGH coincides with and is therefore equal to rect. ABCD. q. ED 77 PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided...undivided line and the several parts of the divided line. (f .-:/: Let AB and CD be two given st. lines, and let CD be divided into any parts in E, F. Then must... | |
 | Richard Wormell - 1876 - 268 pagine
...To describe a square upon a given straight line. . . . . . . . . 132 EUCLID.-BOOK II. Prop. Page i. If there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. . . ,. . . . . . . . . . . 145 3. If a straight line be divided into any two parts, the rectangles... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pagine
...D, .: rect. EFGH coincides with and is therefore equal to reet. ABCD. QED PROPOSITION I. THEOREM. . If there be two straight lines, one of which is divided...equal to the rectangles contained by the undivided lint and the several parts of the divided line. Let AB and CD be two given st. lines, and let CD be... | |
 | Robert Potts - 1876 - 446 pagine
...sometimes " the rectangle ABC." To this proposition may be added the corollary : If two straight lines be divided into any number of parts, the rectangle contained by the two straight lines, IB equal to the rectangles contained by the several parts of one line and the severe! parts of the... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pagine
...J(x'+y*), show that (25). + *•• — x+y + z '.'.x -y + s :x + y — z. (25). Section B.—Geometry. 27. If there be two straight lines, one of which is divided...equal to the rectangles contained by the undivided lirfe and the several parts of the divided line. The sum of the perpendiculars let fall from any point... | |
 | Euclides - 1878 - 398 pagine
...with D, .: rect. EFGH coincides with and is therefore equal to rect. ABCD. QED PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided...line and the several parts of the divided line. Let AB and CD be two given st. lines, and let CD be divided into any parts in E, F. Then must rect. AB,... | |
 | Thomas Hunter - 1878 - 142 pagine
...Therefore the square of AB is equal to the sum of the squares of AC and CB. PKOPOSITION XIV.—THEOREM. • If there be two straight lines, one of which is divided...number of parts, the rectangle contained by the two lines is equal to the sum of the rectangles contained by the undivided line and the several parts of... | |
| |
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. 
