 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.  Examination Papers for Science Schools and Classes - Seite 18von Great Britain. Education Department. Department of Science and Art - 1877Vollansicht - Über dieses Buch
 | Robert Simson - 1762 - 488 Seiten
...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... | |
 | Euclid - 1781 - 552 Seiten
...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, John Playfair - 1795 - 462 Seiten
...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 - 1799 - 374 Seiten
...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 - 1804 - 468 Seiten
...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 - 1804 - 530 Seiten
...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 - 1806 - 546 Seiten
...which are at 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...equal to the rectangles contained by the undivided line and the several parts of the divided line. D K H Book II. Let A and BC be two straight lines ;... | |
 | John Playfair - 1806 - 320 Seiten
...gnomon may also, ' for the sake of brevity, 4 be called the gnomon ' AGK, or EHC.' PROP. I. THEOR. IF there be two straight lines, one of which is divided...equal to the 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... | |
 | John Mason Good - 1813 - 714 Seiten
...parallelograms about a diameter, together with the two complements, is called a gnomon. Prop. I. Theor. If there be two straight lines, one of which is divided...equal to the rectangles contained by the undivided line, and the several parts of the divided line. Prop. II. Theor. If a straight line be divided înto... | |
 | Charles Butler - 1814 - 528 Seiten
...several parts a, b, and c, of the divided line s." QED Cor. Hence, if two given straight lines be each divided into any number of parts, the rectangle contained by the two straight lines will be equal to the sum of the rectangles contained by each of the parts of the one, and each of the... | |
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