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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. Let the straight line AB be divided... "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Página 53
por Euclides - 1860
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...square of the straight line which is made up of the half and the part produced. PROP. 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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 páginas
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and one of the parts, are equal to twice the rectangle contained by the whole and...
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Minutes of the Committee of Council on Education, Volumen1

Great Britain. Committee on Education - 1850
...the squares of the two parts, together with twice the rectangle contained hy the parts. 2. Show that if a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole and...
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Papers for the Schoolmaster, Volumen1

1851
...angle is equal to the sum of the squares described upon the sides which contain the 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...
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The English Journal of Education, Volumen6

1852
...II. — 1. 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. 2. To describe a square that shall be equal to a given rectilineal figure. 3. If...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. 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...
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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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...— 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...the whole and that part, together with the square of the other part. LET the straight line ab be divided into any two parts in the point С ; the squares...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. 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...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 páginas
...angle is equal to the sum of the squares described upon the sides which contain the 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...
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