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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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...rectangle contained by the tiro sti'iiighi lines is equal to the rectangles contained by the uiulieided line, and the several parts of the divided line. Let...two straight lines ; and let BC be divided into any number of parts at the points D, E : the rectangle contained by the straight lines A, BC, shall be...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...sir-tight lines is equal to the rectangles contained by the undleided line, and the several parts oflhe divided line. Let A and BC be two straight lines ; and let BC be divided into any number of parts at the points D, E : tho rectangle contained by the straight lines A, BC, shall be...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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

Horatio Nelson Robinson - Geometry - 1868 - 262 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 E, F, G-, etc....
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Elements of geometry, containing the first two (third and fourth ..., Part 1

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

Edinburgh univ - 1871
...straight lines, one 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 segments...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...straight lines, (me of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained...line and the several parts of the divided line. Let AB and CD be two given st. linet, and let CD be divided into any parts in E, F. Then must recl. AB,...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872
...into any number of parts, the rectangle contained by the two straight lines is equal* to the sum of the rectangles contained by the undivided line and the several parts of che divided line. For the construction made use of in this proposition we are supposed to be able :...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...straight linns, 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 BO be two straight lines ; of which BC is divided into any parts in the points D, E. Then the rectangle...
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Pure mathematics, Volume 1

Edward Atkins - 1874
...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 and BC shall be equal to the rectangle contained by A and BD, together with that contained by A and...
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