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" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
The student's guide to the University of Durham, with information respecting ... - Página 136
1880 - 144 páginas
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...PROPOSITION III.— ТНЕОЕБИ. . ., If a straight line (AB) be divided into any two parts (AC, CB), the rectangle contained ,by the whole and one of the parts is equal to the rectangle contained by the twoparts% together with the square of the aforesaid part : that is, AB-BC = AOCB + :вс«. . ....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...lines mentioned in its enunciation are equal, their rectangle is в square. PROP. III. THEO КЕМ. If a straight line be divided into any two parts, the rectangle contained by the inhale and one of the parts is equal to the rectangle contained by the two parts, together toith the...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 páginas
...PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by ttie whole and one of the parts, is equal to the rectangle contained by the twtt parts, together with the square of the aforesaid part. Let the straight line AB be divided...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...and each of the parts. Cor. 2. — In like manner making A equal to one of the parts, it appears that if a straight line be divided into any two parts,...contained by the two parts together with the square of the first mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two parts...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...parallel. 4. Parallelograms upon equal bases, and between the same parallels, are equal to one another. 6. If a straight line be divided into any two parts, the rectangle contained by the whole and one of its parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...angle. 6. If a straight line be divided into anу two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part. 7. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 páginas
...side, and likewise the two interior angles on the same side together equal to two right angles. 3. If a straight line be divided into any two parts,...contained by the two parts together with the square of the aforesaid part. How must the line be divided so that the rectangle by the whole and part shall...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 páginas
...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 and ono part is equal to the rectangle contained by the two parts, together with the square of the aforesaid...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...wood engraver substituted k for x in the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the rectangle contained by the two parts together with the square...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 páginas
...gallons to be sold at 10s. per gallon ; how many gallons of each sort of wine must he take. Euclid. 1. If a straight line be divided into any two parts,...the parts, is equal to the rectangle contained by the parts, together with the square of the aforesaid part. the straight line intercepted between the...
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