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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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Pure mathematics, Volume 1

Edward Atkins - 1874
...divided into any number of parts, t/ie rectangle contained by the two straight lines is equal to t/ie rectangles contained by the undivided line, and the...; The rectangle contained by the straight lines A and BC A-BC= shall be equal to the rectangle contained by A and BD, A-BD + together with that contained...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...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...lines ; and let ' • BC be divided into any parts at the points D, E: the rectangle contained by the straight lines A, BC, shall be equal to the rectangle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...of which is divided into any number of parts, the rectangle contained by the two straight lines ^s equal to the rectangles contained by the undivided...straight lines ; and let BC be divided into any parts BD, DE, EC, in the points D, E. Then the rectangle contained by the straight lines A and BC shall be...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 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...undivided line and the several parts of the divided line. a Let A and BC be two straight lines, and let BC be divided into any parts BP, PQ, QC. Then shall the...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...into any number of parts, the rectangle contained by the two straight lines is equal to the sum of the rectangles contained by the undivided line, and the several parts of the divided line. Let AB and C be the two straight lines, of which AB is divided into any numbers of parts at the points...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 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...; The rectangle contained by the straight lines A and BC A-BC= shall be • equal to the rectangle contained by A and BD, A • BD + together with that...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...straight lines, one of which it divided into any number of parti; 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 PC be divided into any parts BD, DE, EC, in the points D, E. Then...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...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. . . ,. . . . . . . . . . . 145 3. If a straight line be divided into any two parts, the rectangles...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - Geometry - 1876
...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. (f .-:/: Let AB and CD be two given st. lines, and let CD be divided into any parts in E, F. Then must...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...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. What is the corresponding formula in Algebra ? 3. If a straight line be divided into two equal parts...
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