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" If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
A System of Popular Geometry: Containing in a Few Lessons So Much of the ... - Página xxxi
por George Darley - 1836 - 128 páginas
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General Report on Public Instruction in the Bengal Presidency

1863
...first and second shall be equal to that intercepted between the second and third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Entrance Examination....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...the square of BC. If therefore a straight line, etc. QE n. PROPOSITION IV. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...is sometimes simply called the rectangle ab, ac. Я PROPOSITION IV. — THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares oftíie two parts, togetlwr with twice the rectangle contained by the parts. LET the straight...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 páginas
...with the square of BC. If, therefore, a straight line, &c. QED PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 3 Let the straight...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 páginas
...the equal sides are opposite, .-. / ACS = / BCD = a right angle. 44. PROP. XXII. If a straight line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the two parts together with twice the rectangle* contained by the parts. QDEF. A rectangle...
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Report of twenty-one years' experience of the Dick bequest for elevating the ...

Allan Menzies - 1854
...reasoning, and point out the part of your demonstration in which it is evaded. 3. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. A modification...
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Annual Report of the Normal, Model, and Common Schools in Upper Canada for ...

Upper Canada. Chief Superintendent of Schools - 1854
...demonstrations of the 7th, 27th, 32nd and 48th prop, of the 1st book of Euclid. . 3. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice their rectangle. 4. If a straight line be divided into...
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A treatise on algebra, in theory and practice

James William M'Gauley - 1854
...represent the parts into which any right line is divided, it follows from the example sec. II, 45, that the square of the whole line is equal to the sum of the squares of the parts, plus twice the rectangle under each two of them, &c. 24. If the sum of the equal...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...the divided straight line, their rectangle becomes a square. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straig-ht...
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National Society's Monthly Paper

1855
...middle points of two sides of a triangle will be parallel to the third side' 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 6. In every triangle,...
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