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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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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 páginas
...contained by ac and c b. M.- — Express this truth as a general proposition. P. — 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. The master will,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...the rectangle AC • CB, together with the square of BC. PROPOSITION TV. 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 straight...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 410 páginas
...of BC, together with the rectangle AC.CB. * If, therefore, &c. PROP. 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 their rectangle, t Let the straight line AB be divided...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 páginas
...= figures AD + CE, and that these are = AC x CB + CB*. PROPOSITION 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. * By the rectangle...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 páginas
...square of that part, together with the rectangle under the parts. PROP. 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 parts, together with twice the rectangle contained by the parts. COR.—Thus it appears...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1853
...triangle, and have one of its angles equal to a given rectilineal angle. Sec/ion 2. 1. 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. 2. If a straight...
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 páginas
...the divided line. PROP. II. THEOR. If a straight line (AB) be divided into any two parts (AF, FB), the square of the whole line is equal to the sum of the rectangles contained by the whole line and each of its parts. On AB describe the square ACDB a Prop....
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...together with the square of BC. If therefore a straight, &c. QED PROP. 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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United States Calculator: Or, Arithmetic Simplified

John M'Nevin - 1841 - 280 páginas
...10 = 20+ 2 = 2 tens and 2 over. Hence, from the properties of Euclid. 4, Lib. 2. "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." Thus, let AB be...
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The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - 1841 - 280 páginas
...10= 20 + 2 = 2 tens and 2 over. Hence, from the properties of Euclid. 4, Lib. 2. "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." Thus, let AB be...
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