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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Page 53
by John Playfair - 1855 - 318 pages
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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...parts, together with the square of the other part. 5. To construct a square equal to a given rectangle. 6. If a straight line passing through the centre...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...upon the sides which contain the right 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....
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...the square of the aforesaid part. If a straight line be divided into any two parts, four times tho rectangle contained by the whole line, and one of...to the square of the straight line, which is made up of the whole line and that part. In obtuse angled triangles, if a perpendicular be drawn from either...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 136 pages
...the reetuinjle moler the ,SKW. BOOK II. 97 PROP. VIII. THEOR. If a si. line be divided into any tico parts, four times the rectangle contained by 'the whole line and one of tlie parti together with the square of the other part, is equal to the square of the st.i line which...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...and BC, diminished by twice the rectangle AB • BC. PROPOSmON VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle...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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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...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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An elementary course of practical mathematics, Part 1

James Elliot - 1860 - 252 pages
...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. Ła ( V 5 —...
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