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" PROP. I. THEOR. If there oe 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. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 50
by Euclides - 1841 - 351 pages
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...for ' the rectangle contained by AB and CD,' < rect. AB, CD.'] PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any...contained by the two straight lines is equal to the rectangle contained by the undivided line, and the several parts of the divided line. Let AB and CD...
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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
...EHC, composed of HG, AF, and FC, may he termed the gnomon EHC or AGK. PROP. I. THEOREM. If there be two straight lines, one of which is divided into any...divided line. Let A and BC be two straight lines, one of which, BC, is divided into parts in D and E. Then it is to be proved that The rectangle contained...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...two right angles, these two straight lines shall be in one and the same straight line. 3. If there be two straight lines, one of which is divided into any...undivided line and the several parts of the divided line. 4. Parallelograms on equal bases, and between the same parallels, are equal to one another. 5. If a...
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Papers for teachers

1880
...from a given point in a side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided into any...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 Cambridge Examiner, Volume 1

Education, Higher - 1881
...which the first eight propositions of Euclid II. prove. If there be two 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...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 266 pages
...which is more briefly expressed by the letters DFH or BEG. Proposition 1. Theorem. — If there be two straight lines, one of which is divided into any...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 Practical Teacher, Volume 1, Issue 1

Education - 1882
...from a given point in a side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided into any...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 Cambridge Examiner, Volume 2

Education, Higher - 1882
...isosceles triangle. 7. Explain the terms rectangle, gnomon, complements of a parallelogram. 8. If there be two straight lines, one of which is divided into any...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 Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882
...extremity, the other two from any point in it, these two are together equal to the first. 4. If there be two straight lines, one of which is divided into any...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
...are together equal to the square on the whole line. (Particular case of II. 1.) II. A. If there be two straight lines, one of which is divided into any...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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