 | Robert Simson - 1762 - 488 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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...contained by the two straight lines, is equal to the rectangles contained by the undivided line and the several parts of the divided line. D K H Book II.... | |
 | John Playfair - 1806 - 320 σελίδες
...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...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... | |
 | John Mason Good - 1813 - 714 σελίδες
...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...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Prop. II. Theor.... | |
 | Charles Butler - 1814 - 528 σελίδες
...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... | |
| |
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. 
