 | Audun Holme - Mathematics - 2002 - 408 pages
...Formula 1 If there be two straight lines, and one of them be cut into any number of segments whatever, the rectangle contained by the two straight lines is equal to the (sum of the) rectangles contained by the uncut straight line and each of the segments. Again, the parenthesis... | |
 | Jean Christianidis - Mathematics - 2004 - 502 pages
...translation of HEATH: If there be two straight lines, and one of them be cut into any number of segments, the rectangle contained by the two straight lines is equal to the rectangles contained by the uncut straight line and each of the segments. Fig. 2. Diagram to EUCLJDS Prop. II. 1. Geometrically,... | |
 | h. m. taylor - 698 pages
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 | Euclid - 1845 - 336 pages
...be equal, then two opposite sides are parallel. CHAPTER vI AREAS (CONT.) 159. PROP. 1. If there be two straight lines, one of which is divided into any...contained by the two straight lines is equal to the sum of the rectangles contained by the second line and each part of the first. A c DB Let AB and X... | |
 | 130 pages
...Chap, iv, by sq. on AB. The notation ABa will also be used when convenient. 91. PROP. 1. If there be two straight lines, one of which is divided into any...contained by the two straight lines is equal to the sum of the rectangles contained by the second line and each part of the first. A c D u Let AB and X... | |
 | 268 pages
...BC, CD. .: sum of rects AB, CD ; AD, BC=rect. AC, BD. 137, 2. If there be two straight lines, each 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 each of the parts of the first line and each of the parts of the... | |
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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. 
