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" If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided... "
Examination Papers for Science Schools and Classes - Page 30
by Great Britain. Education Department. Department of Science and Art - 1886
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...— THEOREM. If a straight Une be dvmded into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. LET the straight line ab be divided into...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - Church and education - 1853 - 500 pages
...right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Section 2. 1. If in a circle two straight...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by tke whole and that part, together with the square of the other part. Let the straight line AB be divided...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - Science - 1854
...If a straight line (AB) be divided into any two parts (in C), the squares of the whole lint, and of one of the parts, are equal to twice the rectangle contained by the whole and Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...be divided into any two parts, the squares on the whole line and one of the parts, shall be together equal to twice the rectangle contained by the whole...part, together with the square on the other part. Deduce the same from the preceding propositions of the Second Book. 6. The opposite angles of a quadrilateral...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...triangle. 7. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 8. Divide a given straight line into two...
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National Society's Monthly Paper

1856
...angle. and 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle...
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - Education, Primary - 1856 - 184 pages
...the parts. 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle...
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