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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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Papers for teachers

1880 - 594 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. What is the corresponding formula of Algebra ? 3. Euc. II. 9. Algebra. — i. Simplify — + 2+^_)...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...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 - 176 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 - 504 pages
...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 - 286 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 - 498 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. 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 - 676 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. 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 - 418 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. 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 - 278 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. 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 - 528 pages
...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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