 | Horatio Nelson Robinson - 1868 - Liczba stron: 276
...to £ (AB+CD)xEF. 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 the several... | |
 | Edinburgh univ - 1871 - Liczba stron: 392
...other two sides of it; the angle contained by these two sides is a right angle. 3. 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 - 1871 - Liczba stron: 136
...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 - 1872 - Liczba stron: 216
...signs +, — , and =. They will accordingly be occasionally employed. PBOPOSITION I. If there are two straight lines one of which is divided into any number...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 - 1872 - Liczba stron: 376
...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 - 1873 - Liczba stron: 588
...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;...and the several parts of the divided line. Let A and BO be two straight lines ; of which BC is divided into any parts in the points D, E. Then the rectangle... | |
 | Francis Cuthbertson - 1874 - Liczba stron: 400
...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 into any number...undivided line and the several parts of the divided line. a Let A and BC be two straight lines, and let BC be divided into any parts BP, PQ, QC. Then shall the... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - Liczba stron: 236
...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... | |
 | Euclides - 1874 - Liczba stron: 342
...opposite angles of the parallelograms which make the gnomon." PROPOSITION 1.. — Theorem. If there be two straight lines, one of which is divided into any number...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.... | |
 | Edward Atkins - 1874 - Liczba stron: 428
...opposite angles of the parallelograms which make the gnomon. Proposition 1. — Theorem. If t/iere be two straight lines, one of which is divided into any number of parts, t/ie rectangle contained by the two straight lines is equal to t/ie rectangles contained by the undivided... | |
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If there be imo 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. 
