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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. "
A Supplement to the Elements of Euclid - Page 92
by Daniel Cresswell - 1819 - 410 pages
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...gnomon. PROPOSITIONS. Proposition 1.— Theorem. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines; and...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...AC, CB. BOOK II. RECTANGLES. PROPOSITION I. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. a Let A and BC be two straight lines, and...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...the *-* ^ gnomon. PROPOSITION 1. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. * Let A and BC be two straight lines ; and...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874 - 234 pages
...PROPOSITION I. — THEOREM. (Euc. II. 1.) Jf there be two straight lines, oiie of which is divided 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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...make the gnomon." PROPOSITION 1.. — Theorem. If there be two straight lines, one 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 line, and the several parts of the divided line....
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...will be algebraically represented by ia b. 2. If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained...lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. 3. If a straight line bo divided into two...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...thus ; — AB, BO. Proposition 1. — Theorem. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines; and...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
.... . . . 132 EUCLID.-BOOK II. Prop. Page i. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. . . ,. . . . . . . . . . . 145 3. If a straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...the rectangle ABC." To this proposition may be added the corollary : If two straight lines be divided into any number of parts, the rectangle contained by the two straight lines, IB equal to the rectangles contained by the several parts of one line and the severe! parts of the...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...+ y — z. (25). Section B.—Geometry. 27. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided lirfe and the several parts of the divided line. The sum of the perpendiculars let fall from...
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