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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 Elements of Euclid; viz. the first six books, together with the eleventh ... - Strona 39
autor: Euclides - 1834
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - Liczba stron: 318
...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 the square...
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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...parts together with the square of the aforesaid part. 7. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite...
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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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - Liczba stron: 12
...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,...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 be equal to twice the...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - Liczba stron: 324
...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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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - Liczba stron: 234
...equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - Liczba stron: 1869
...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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 7. If a straight line be divided into any two parts,...parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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