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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 on the other part, is equal to the square on the straight line which is made up of the whole and that... "
Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - Mathematics - 1854 - 225 pages
...parallelograms is equal to twice the triangle BSD. 2. 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. Produce a given straight line to a point such that...
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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854
...parallelograms GF, EH is equal to twice the triangle KBD. 2. 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. Produce a given straight line to a point such that...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855
...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...their differesse, together with four times the rectangle contained by them. PROP. Till. THEOREM. У a straight line be divided into any two parts, four times the rectangle con'ained by the whole line, and one of the parís, together with the square of the other part, is...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

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

War office - 1858 - 12 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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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 324 pages
...equal to the rectangle contained by the two parts, together with 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 the parts, together with the square of the other...
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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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...to 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,...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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