| Euclid - 1845 - 262 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... | |
| ...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... | |
| ...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... | |
| Euclid
...PROPOSITION i. 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 rectangles contained by the** uncut straight line and each of the segments. 5 Let A, BC be two straight lines, and let BC be cut... | |
| Olaus Henrici - Congruences (Geometry) - 1888 - 188 pages
...one of whiob if divided Into any number of parts (.r, y, z say) while the other Is of length a, then **the rectangle contained by the two straight lines Is equal to the** sum of the rectangles contained by the undivided straight Una and the 8over.il parts of the divided... | |
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