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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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 pages
...PROPOSITION I. THEOREM. If there be two straight lines, one of which it divided into any number oj 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 A and BC be two straight lines; and...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882
...gnomon, complements of a parallelogram. 8. 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. 10. Define the terms radius, arc, circumference,...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882
...parallelogram which shall bisect the parallelogram. 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. What is the corresponding formula in Algebra...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882
...these two are together equal to the first. 4. 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. Show how this proposition is a geometrical...
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Class lessons on Euclid

Marianne Nops - 1882
...whole line. (Particular case of II. 1.) II. A. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight h-nes is equal to the rectangles contained by the undivided line and the several parts of the divided...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...complements AF, FC, is the gnomon AGK, or EHC. 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 tmdivided line, and the several parts of the divided line. Let A and BC be two straight lines ; of...
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Guide to obtaining an army school certificate, 1st class, by an army ...

George Lund Dunnett - 1884
...yards of its length ? PRACTICAL GEOMETRY. 1. 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. The sum of the perpendiculars let fall from...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...either of them. 4. If two straight lines be each of them divided internally into any number of segments, the rectangle contained by the two straight lines is equal to the several rectangles contained by all the segments of the one taken separately with all the segments...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...angle equal to a given rectilineal angle. 3. 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. If A, B, C, D are points in a straight line,...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...ab ' square inches. 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, of which...
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