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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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 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. into any parts in the points D, E ; the rectangle contained by the straight lines A,...
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General Report on Public Instruction in the Bengal Presidency

Education - 1851 - 628 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. Hence prove that the area of a rectangle is equal to the product of the base and its...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 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 EC be two straight lines ; and let BC be divided into any parts in the points...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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 in the points...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 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 in the points...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 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 (Fig. 38) be two straight lines whereof BC is divided into parts by the...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 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. 7. To describe a square that shall be equal to a given rectilineal figure. 8. If two...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...which is divided into any number of parts, the rectangle contained by the two st. lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. CONS. — 11. I. At a point in a st. line to draw a right angle. 3. I. From the greater...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...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 line. If a straight line be divided into any two parts, the rectangle contained by the whole...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 136 pages
...is divided into tunj number of parts, the rectangle continued by the two st. lines is equal to tlie rectangles contained by the undivided line and the several parts of the divided line. Соя. V. 11. 3, 31, I. OEM. :UI, AT. Я. K». 1 Hjp. Concl. h...,ii n '., я. I MI...
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