 | Robert Simson - Trigonometry - 1762 - 488 pages
...KL C ' angles of the parallelograms which make the gnomon.' PROP. I. THE OR. r there be two ftraight lines, one of which is divided into any number of parts; the re&angle contained by the two ftraight lines, is equal to the rectangles contained by the undivided... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...lines, one of which is divided into any number of parts i the rectangle contained by the two ftraight lines, is equal to the rectangles contained by the undivided line, and the feveral parts of the divided line. P 3 Let; i i. 1. b 3. i, c 3i. i. LH Book II. Let A and BC be two... | |
 | Euclid - 1781 - 552 pages
...angles 'of the parallelograms which make the gnomon." PROP. I. THEO R. K C TF there be two ftraight lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is equal to the rectangles contained by the undivided line, and the feveral parts of... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...lines, and one of them be cut into any number of fegments ; the rectangle contained by the two ftraight lines is equal to the rectangles contained by the undivided line and each of the fegments of the divided line. Let there be two ftraight lines A, BC , and let BC be cut... | |
 | John Playfair - Euclid's Elements - 1795 - 462 pages
...parallelograms which make the 1 gnomon.. E PROP. a n. I. i 34. i. >/:..: *"• • . IF there be two ftraight lines, one of which is divided into any number of parts ; the redlangle contained by the two ftraight lines, is equal to the redlangles contained by the undivided... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...oppofite angles of the parallelograms which make the gnomon.' PROP. I. THEOR. F there be two ftraight lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is equal . to the reftangles contained by the undivided line, and the feveral parts... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...fake of brevity, be called the gnomon AGK, or EHC.' a ii. i. PROP. I. THEOR. IF there be two ftraight lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is equal to the reftangles contained by the undivided line, and the feveral parts of... | |
 | Robert Simson - Trigonometry - 1804 - 528 pages
...pofite angles of the parallelograms which make the gnomon.' PROP. I. THEOR. IF there be two ftraight lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is. equal to the rectangles contained by the undivided line, and the feveral parts... | |
 | Robert Simson - Trigonometry - 1806 - 548 pages
...the B < opposite angles of the pa< rallelograms which make the gnomon.' G PROP. I. THEOR. IF there be two straight lines, one of which is divided into any...undivided line and the several parts of the divided line. D K H Book II. Let A and BC be two straight lines ; and let BC be divided *— Y— - ' into any parts... | |
 | Euclid - Geometry - 1810 - 554 pages
...at the < opposite angles of the pa' rallelograms which make the gnomon.' PROP. I. THEOR. IF there be two straight lines, one of which is divided into any...equal to the rectangles contained by the undivided tine, and the parts of the divided line. K H Book H. Lijt A and BC be two straight lines; and let BC... | |
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