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

Euclides - 1881
...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...be two straight lines; and let BC be divided into several parts at the points D and E. The rectangle contained by the two straight lines A and BC, ia...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 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. 3. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881
...straight lines one of which be divided into any number of parts, the rectangle contained by the two lines is equal to the rectangles contained by the...undivided line and the several parts of the divided line. Geometry. Senior. 1. Draw a straight line perpendicular to a given straight line from one extremity...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 266 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 RC be two straight lines ; and let BC be divided into any number of parts at the points D, E; the rectangle...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882
...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. 10. Define the terms radius, arc, circumference, chord, secant, tangent. 11. Given, base, vertical...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882
...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, and...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882
...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. Show how this proposition is a geometrical illustration of a Law governing the addition and subtraction...
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Class lessons on Euclid

Marianne Nops - 1882
...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. Rect. AB, CD = sum of rects. AB, CE, AB, EF, AB, FD. Cons. — Describe rect. contained by the whole...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...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 obtuse-angled...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...tico str-aight lines is equal to the rectanglet contained by the undicided line, and the several parti of the divided line. Let A and BC be two straight lines ; and let BC bo divided into any number of parts at the points D, E : the rectangle contained by the straight lines...
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