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" PROP. VIII. THEOR. IF a straight line be divided into any two parts, tour 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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 59
von Robert Simson - 1806 - 518 Seiten
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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854 - 282 Seiten
...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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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - 1854 - 266 Seiten
...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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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 Seiten
...equality, by transposition. PROP. VIII. THEOR. If a straight line lie divided into any two parts, four times the rectangle contained by the whole line, and...equal to the square of the straight line which is made vp of the whole and thefirst-mentioned part. Let the straight line AB be divided into any two parts...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 Seiten
...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 equal...the straight line, which is made up of the whole and thai part. Let the straight line AB be divided into any two parts at the point С. Four times the rectangle...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 Seiten
...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 Seiten
...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 - 1858 - 422 Seiten
...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...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 of the acute...
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Parliamentary Papers, Band 25

Great Britain. Parliament. House of Commons - 1858 - 694 Seiten
...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 be drawn from...
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Skeleton propositions &c. of Euclid, books i and ii, with references ..., Band 2

Euclides - 1858 - 136 Seiten
...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 is made up of the whole and that part. Cos. Pet. 3. 3. I, 40. I, 31. I, DEM. 34. I,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 Seiten
...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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