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" Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Educational Record of the Province of Quebec: The Medium Through which ... - Side 186
1891
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 sider
...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 square oftheforesaidpart. Let the straight line AB be divided into any two parts at the point...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 340 sider
...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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 sider
...into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with the square of the other part. 5. To construct a square equal to a given rectangle. 6....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 sider
...the com. dif. being 160. PROP. 8. — THEOR. If a st. line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts together with the square of the other part, is equal to the square of the st. line which is made up...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 sider
...rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D.,...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 sider
...take. Euclid. 1. 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 parts, together with the square of the aforesaid part. the straight line intercepted between the...
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An elementary course of practical mathematics, Del 1

James Elliot - 1860 - 252 sider
...Ex. C), the altitude of the triangle being a and the base b 1 8. A st* line a being divided so that the rectangle contained by the whole line and one of the parts is equal to the square of the other part, compute the lengths of the two parts. Ans. £a ( V 5 — 1) and £a (3 —...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 sider
...made up of the half and the part produced. 8. Divide a given straight line into two parts, such that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. PRELIMINARY GENERAL EXAMINATION. Christmas, 1864. WEDNESDAY,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...line, &c. QED PROPOSITION VIII. THEOREM. ' If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line, which u made...
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 sider
...&c. &c. according to the explanations in p. 7. 5. Divide a line а feet long into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Let x = the length of the greater part, in feet. ....
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