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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. Let... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 40
by Robert Simson - 1827 - 513 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...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...and the several parts of the divided line, Let A and .BCbe two straight lines ; and let BC be divided into any parts SD, DE, EC, in the points D, E. Then...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...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...undivided line, and the several parts of the divided line. Given the two straight lines A and BC, and let BC be divided into any parts in the points D, E ; to...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...straight lines, one of which is divided into any number of parts ; then the rectangle contained by the two straight lines, is equal to the rectangles contained...undivided line, and the several parts of the divided line. (References— Prop. i. 3, 11, 31, 34.) Let A and BC be two straight lines; and let BC be divided into...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...of which is dicided into any number of parts, the rectangle contained by the tiro straight lin<!,< is equal to the rectangles contained by the undivided line, and the several parts of the divided line. , (References— Prop. I. 3, 11, 31, 34.) Hypothesis. — Let A and BC be two straight lines ; and...
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Responsions

University of Oxford - Education, Higher - 1863
...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...undivided line and the several parts of the divided line. 8 If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...straight lines, one of irhich is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained...straight lines ; and let BC be divided into any parts BD, DE, EC, in ftfepoints D, E. Then the rectangle contained by the straight lines -flfcd BC, shall...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...straight lines, one of tchich is divided into any number of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained...and the several parts of the divided line. Let A and BCbe two straight lines ; and let BC be divided into any parts BD, DE, EC, in the points D, E. Then...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...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...undivided line, and the several parts of the divided line. Prop. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Conic sections - 1865 - 444 pages
...into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and the several parts of the divided line. Let AB and AD be two lines, and suppose AB divided into any number of parts at the points E, F, G, etc....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 317 pages
...straight lines, one of which is divided into any number ej parts ; the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts nj the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the...
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