| Robert Simson - Trigonometry - 1762 - 466 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... | |
| Euclid - 1781 - 540 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... | |
| John Playfair - Euclid's Elements - 1795 - 444 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 - 351 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's Elements - 1804 - 470 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
...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 - 518 pages
...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 - Euclid's Elements - 1806 - 311 pages
...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
...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 - Mathematics - 1814 - 528 pages
...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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