 | Henry William Watson - Geometry - 1871 - 320 pages
...same parallels, the area of the triangle will be half the area of the parallelogram. PROPOSITION 1r. If there be two straight lines, one of which is divided into any number of farts, the rectangle of the two straight lines shall be equal to tJ1e sum of tJ1e rectangles of the... | |
 | Euclides - 1871 - 136 pages
...AB, CD = sum of reet. AB, CE and rect. AB, EF and rect. AB, FD. QED Ex. If two straight lines be each divided into any number of parts, the rectangle contained by the two lines is equal to the rectangles contained] by all the parts of the one taken separately with all the... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the signs +, — , and =. They will accordingly be occasionally employed. PBOPOSITION I. If there are 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 undivided line and the several parts of che divided line. For... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...AB, CE and rect. AB, EF .: rect. AB, 6'/> = and rect. AB, FD. QED Ex. If two straight lines be each divided into any number of parts, the rectangle contained by the two lines is equal to •'he rectangles contained^ by all the parts of the one taken '.rn.t.ely with nil... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...together with the complements AF, FC, is the gnomon AGK, or EHC. I. — If there be two straight linns, one of which is divided into any number of parts;...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 BO... | |
 | Euclides - 1874 - 120 pages
...the opposite H angles of the parallelograms which make the ° *-* ^ gnomon. PROPOSITION 1. THEOREM. If there be two straight lines, one of which is divided...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... | |
 | Edward Atkins - 1874 - 426 pages
...opposite angles of the parallelograms which make the gnomon. PROPOSITIONS. Proposition 1.— Theorem. If there be two straight lines, one of which is divided...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... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...equal to A ABC = square-Xy; /. square on AB - squares on AC, CB. BOOK II. RECTANGLES. PROPOSITION I. If there be two straight lines, one of which is divided...contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. a Let A and BC... | |
 | Euclides - 1874 - 342 pages
...are at the opposite angles of the parallelograms which make the gnomon." PROPOSITION 1.. — Theorem. If there be two straight lines, one of which is divided...the rectangle contained by the two straight lines ^s equal to the rectangles contained by the undivided line, and the several parts of the divided line.... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...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... | |
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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. 
