| Euclid - 1781 - 550 pages
...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... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...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... | |
| Robert Simson - Trigonometry - 1804
...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... | |
| John Playfair - Euclid's Elements - 1804 - 470 pages
...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 - 1806 - 518 pages
...the pa< rallelograms which make the gnomon.' G PROP. I. THEOR. IF there be two straight lines, one **of which is divided into any number of parts ; the...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 - 320 pages
...brevity, 4 be called the gnomon ' AGK, or EHC.' PROP. I. THEOR. IF there be two straight lines, one **of which is divided into any number of parts, the...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 - 722 pages
...together with the two complements, is called a gnomon. Prop. I. Theor. If there be two straight lines, one **of which is divided into any number of parts; the...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... | |
| Euclides - 1816 - 528 pages
...of the parallelograms ' which makes the gnomon.' PROP. I. THEOR. IF there be two straight lines, one **of which is divided into any number of parts; the...contained by the two straight lines, is equal to the** rectangles contained by the undivided line, and the several parts of the divided line. BouK II. Let... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...THE FIRST SIX BOOKS OF i .' • : BOOK II. PROP, I. (I.) IF two given straight lines be divided, each **into any number of parts, the rectangle contained by the two straight lines, is equal to the** rectangles contained by the several parts of the one and the several parts of the other. PROP. V. (H.)... | |
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