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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 ... - Side 49
av Euclid, Robert Simson - 1829 - 516 sider
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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 angles...
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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 - 12 sider
...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 be equal...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 sider
...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 sider
...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,...by the two parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained by...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...AB, BC is equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts,...parts, is equal to the rectangle contained by the two varts, together with the square on the aforesaid part, Let the straight line AS be divided into any...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...AC, together with the rectangle AB • BC, is equal to the square on AB. PEOPOSITION III. THEOBEM. If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the square on that part, together with the rectangle contained by the two parts. Given the straight line...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...described on the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. VOLUNTARY PORTION. 2. From a given straight line to cut off any part required....
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