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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. "
A Supplement to the Elements of Euclid - Page 92
by Daniel Cresswell - 1819 - 410 pages
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Responsions

University of Oxford - Education, Higher - 1863
...the sides which contain the right angle. 11. 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 rectangle contained by the undivided line, and the several parts of the divided line. 12. Describe...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...make the gnomon." PROPOSITION I. THEOREM. If there be two straight lines, one of tchich is divided into any number of parts ; the rectangle contained...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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...make the gnomon." PROPOSITION I. THEOREM. If there be tico straight lines, one of irhich is divided into any number of parts; the rectangle contained...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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...lines is equal to three times the rectangla under either of them, and a third of the other. 3. If two lines be divided, each into any number of parts, the rectangle contained by the two lines is equal to the sum of the rectangles contained by the several parts of the one and the several...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...which make the gnomon." PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number of parts; the rectangle contained...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...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...coincides with and is .-. equal to rect. ABCD. QED If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...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,...
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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
...to rect. A BCD. QFD PROPOSITION L TIIEOBEM. If there be two straight lines, (me of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. Let AB and CD be two given st. linet, and...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872
...accordingly be occasionally employed. PBOPOSITION I. If there are 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 sum of the rectangles contained by the undivided line and the several parts of che divided line. For...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...complements AF, FC, is the gnomon AGK, or EHC. I. — If there be two straight linns, one of which is divided into any number of parts; the rectangle contained...lines, is equal to the. rectangles contained by the undivided line, and the several parts of the divided line. Let A and BO be two straight lines ; of...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...gnomon. PROPOSITIONS. Proposition 1.— Theorem. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...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...
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