 | William Somerville Orr - Science - 1854 - 534 pages
...L— Tn-EOBEM. If there be two straight lines (A and В С), one of which (BC) is divided into miy 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 (BD, DE, &c.) of He divided line.... | |
 | Euclides - 1855 - 270 pages
...various other places, but particularly in this book. E С К. i H PROPOSITION I. THEOBEM. If there be two straight lines, one of which is divided into any...contained by the two straight lines, is equal to the rectangle contained by the undivided line, and the several parts of the divided line. Let A and B С... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...the other two sides of it ; the angle contained by these two sides is a right angle. 6. If there be two straight lines, one of which is divided into any...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. 7. To describe... | |
 | Euclides - 1856 - 168 pages
...but CAD is a right angle, wherefore CAB is also a right angle. XLVIII.— EUCLID II. 1. If there be two straight lines one of which is divided into any...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... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...subtending the right angle is equal to the square under the sides containing the right angle. If there be two straight lines, one of which is divided into any...number of parts, the rectangle contained by the two lines is equal to the rectangles contained by the undivided line, and the several parts of the divided... | |
 | Euclides - 1858 - 248 pages
...The learner is supposed to be familiar with most of them. PROP. 1. — THEOREM. If there be two st. lines, one of which is divided into any number of parts, the rectangle contained by the two st. lines is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
 | Euclides - 1860 - 288 pages
...which are at the opposite angles of the parallelograms which make the gnomon. _D—..E_ C H there be two straight lines, one of which is divided into any...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Given the two... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the opposite angles of the parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any...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 .BCbe... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...( AB+ CD) x EF. Hence the theorem ; the area of a trapezoid, etc. THEOREM XXXV. If one of two lines is divided into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and tJ.c several... | |
 | John Playfair - Geometry - 1860 - 334 pages
...&c. • PROP. I. THEOR. If there be two straight lines, one of which is divided into any number oj 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... | |
| |
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. 
