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" 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 of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 55
av Euclid, Robert Simson - 1821 - 516 sider
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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. 8. PROP. XII. In obtuse-angled triangles, if a perpendicular...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...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 of the aforesaid part....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...the squares on AB and BC, diminished by twice the rectangle AB • BC. PROPOSmON VIII. THEOREM. If a straight line be divided into any two parts, four...line, and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and the...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...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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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular...
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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular...
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An elementary course of practical mathematics, Del 1

James Elliot - 1860
...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 —...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. FG it Upon AB describe the square A CDB ; (l. 46.)...
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