 | Edinburgh univ - 1871 - 392 pages
...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 - 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
...They will accordingly be occasionally employed. PBOPOSITION I. If there are two straight lines one 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 che divided line. For... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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; the...line, 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... | |
 | Edward Atkins - 1874 - 426 pages
...which make the gnomon. PROPOSITIONS. Proposition 1.— Theorem. If there be two straight lines, one of which is divided into any number of parts, the...line, and the several parts of the divided line. Let A and BC be two straight lines; and let BC be divided into any parts in the points D, E ; The rectangle... | |
 | Euclides - 1874 - 120 pages
...parallelograms which make the ° *-* ^ gnomon. PROPOSITION 1. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the...line, and the several parts of the divided line. * Let A and BC be two straight lines ; and let ' • BC be divided into any parts at the points D, E: the... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...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 of parts, the...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.) - 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... | |
 | Euclides - 1874 - 342 pages
...parallelograms which make the gnomon." PROPOSITION 1.. — Theorem. If there be two straight lines, one of which is divided into any number of parts, 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 - 428 pages
...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 line, and the several parts of the divided line. Let A and BC be two straight lines; and let BC be divided into any parts in the points D, E ; The rectangle... | |
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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. 
