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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... "
Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 86
by Nathan Scholfield - 1845
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...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 A and BC be two straight lines, one of which, BC, is divided into parts in D and...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 pages
...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. 3. If a straight line be divided into two equal, and also into two unequal parts ; the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...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 let BC be divided into several parts at the points...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...of which is divided into any number of parts, the rectangle contained by the two lines is equal to the sum of the rectangles contained by the undivided line and the several parts of the divided line. From this proposition derive a proof of the equality (a+6)1 = a2 + 63 + 2a&. 5. In an...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882
...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. What is the corresponding formula in Algebra ? 3. If a straight line be divided into...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882
...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. Show how this proposition is a geometrical illustration of a Law governing the addition...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882
...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. 10. Define the terms radius, arc, circumference, chord, secant, tangent. 11. Given, base,...
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Class lessons on Euclid

Marianne Nops - 1882
...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 AB and CD be two straight lines, one of which, CD, is divided at points E and F...
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Guide to obtaining an army school certificate, 1st class, by an army ...

George Lund Dunnett - 1884
...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. The sum of the perpendiculars let fall from any point within any equilateral figure upon...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...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. If A, B, C, D are points in a straight line, taken in order, prove that the rectangle...
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