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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. "
The Geometrical Companion, in which the Elements of Abstract Geometry are ... - Page 106
by George Darley - 1828 - 169 pages
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pages
...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 number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...units, the area of the triangle will be algebraically represented by £ a b. 2. 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...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...that the lines which join opposite vertices of the triangles are equal. 4. If there be two straight lines, one 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...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...to which Euclid has thought it necessary to call attention. Prop. I. — ' 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...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...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 number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...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 number of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained by the undivided line, and...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...7. Explain the terms rectangle, 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 by the two straight lines is equal to the rectangles contained by the undivided line and...
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Guide to obtaining an army school certificate, 1st class, by an army ...

George Lund Dunnett - 1884 - 128 pages
...earth are taken out in forming 30 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 by the two straight lines is equal to the rectangles contained by the undivided line and...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...HG, together with the 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 by the two straight lines, is equal to the rectangles contained by the tmdivided line, and...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...get a(b + c -f- a)= ab + ac + ad. a We may state this in words as follows : ff there be any two sects one of which is divided into any number of parts, the rectangle contained by the two sects is equivalent to the rectangles contained by the undivided sect and the...
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