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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. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 50
by Euclides - 1841 - 351 pages
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The Elements of Plane Geometry

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...
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A First Course of Geometry

...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...
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Solutions of the Exercises in Tyler's Euclid

...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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The Thirteen Books of Euclib's Elements.

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...
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Elementary Geometry

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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