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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... "
Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 86
by Nathan Scholfield - 1845
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...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 A and .BCbe two straight lines ; and let BC be divided into any parts SD, DE, EC,...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...divided into any number of parts ; then 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. (References— Prop. i. 3, 11, 31, 34.) Let A and BC be two straight lines; and let BC...
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Responsions

University of Oxford - Education, Higher - 1863
...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. 8 If a straight line be divided into two equal parts, and also into two unequal parts...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...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 A and BC be two straight lines ; and let BC be divided into any parts BD, DE, EC,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...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. Prop. 2. If a straight line be divided into any two parts, the rectangles contained by...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Conic sections - 1865 - 472 pages
...into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and the several parts of the divided line. Let AB and AD be two lines, and suppose AB divided into any number of parts at the points...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...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 A and BCbe two straight lines ; and let BC be divided into any parts BD, DE, EC,...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and the several parts of the divided line. Let AB and AD be two lines, and suppose AB divided into any number of parts at the points...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...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. XL 2? Let AB and CD be two given st. lines, and let CD be divided into any parts in E,...
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The Edinburgh university calendar

Edinburgh univ - 1871
...of which is 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 one. 4. If two straight lines within a circle cut one another, the rectangle contained by the...
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