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" 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. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 páginas
...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...the whole and that part, together with the square of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do not both...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Libro 1

Euclides - 1853
...equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. Let the straight line AB be divided into any two parts AC, CB in c. Then the squares of AB, BC shall be equal to twice the rectangle contained by AB, BC together...
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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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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 páginas
...line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole and that part, together with the square of the other part. With the same construction as in (44), and in the same manner it may be shewn, that...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 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 Diagram,...
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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...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts at the point С. The squares...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...of BC, DE is drawn perpendicular to AS: shew that BE is, one-fourth of AB. 5. If a straight line 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 line and that...
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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...the whole and that part, together with the square of the other part. 8. Divide a given straight line into two parts, so that the rectangle contained...
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 páginas
...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...the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and...
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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...the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and...
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