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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 317 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...into any parts in the points D, E ; the rectangle A.BC is equal to the several rectangles A.BD, A.DE, A.EC. From the point B draw (Prop. 11.1.) BF at...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846
..." rectangle of AB and AD j" or by " AB . AD." PROP. XLI. THEOR. 1. 2 En. angle contained by the two straight lines, is equal to the rectangles contained...several parts of the divided line. Let A and BC be two str. lines, and let BC be divided into any parts in D and E; then A.BC=A.BD + A.DE+A.EC B DEC Draw...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846
..." rectangle of AB and AD;" or by " AB . AD." PROP. XLI. THEOR. ,. 2Eu . angle contained by tlie two straight lines, is equal to the rectangles contained...several parts of the divided line, Let A and BC be two str. lines, and let BC be divided into any parts in D and E; then A.BC=A. BD + A. DE+A. EC B DEC Draw...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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. PROP. II. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848
...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. Hence prove that the area of a rectangle is equal to the product of the base and its altitude. 4. The...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 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. into any parts in the points D, E ; the rectangle contained by the straight lines A, BC is equal to...
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General Report on Public Instruction in the Bengal Presidency

Education - 1851
...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. Hence prove that the area of a rectangle is equal to the product of the base and its altitude. 4. The...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...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 EC be two straight lines ; and let BC be divided into any parts in the points D, E; the rectangle contained...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...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...the rectangle contained by the straight lines A, BC is equal to the rectangle contained by A, BD, together with that contained by A, DE, and that contained...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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...the rectangle contained by the straight lines A, BC, is equal to the rectangle contained by A, BD, together with that contained by A, DE, and that contained...
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