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" 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. "
Elements of Euclid Adapted to Modern Methods in Geometry - Pagina 77
door Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 216 pagina’s
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pagina’s
...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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 pagina’s
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 pagina’s
...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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 pagina’s
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pagina’s
...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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pagina’s
...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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pagina’s
...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....
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - 1814 - 528 pagina’s
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pagina’s
...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...
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 454 pagina’s
...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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