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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 complete set of male pupil teachers' examination questions in Euclid [book ... - Side 17
av W J. Dickinson - 1879 - 36 sider
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The Quarterly Journal of Education, Volum 5

1833
...the square of the aforesaid part. 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...together, with twice the rectangle contained by the parts. a. Find the value of x in x1 — a x-\-b*^0. b. Divide a*— 3x*+x* + J x'-l'2x + 6 by ^-3. Find the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...straight line," &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...together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...was te be proved. PROP. XX. 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...together with twice the rectangle contained by the parts. Let the straight line AB he divided into any two parts in C ; the square of AB is equal to the squares...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...the square of the foresaid part. IV. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. Сок. From the demonstration, it is manifest that the parallelograms about the diameter of a square...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 sider
...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...together with twice the rectangle contained by the parts. * By the rectangle AX BC (the lines A and BC being separate) is' meant the rectangle which may be formed...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...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...together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 sider
...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 into any two parts in C ; the square of AB is...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 sider
...acute angle. SUBSTANCE OF SECTION VII. 1. Squares are equal to each other when their buses are equal. of the two parts, together with twice the rectangle contained by the parts. 3. If a straight line be divided into any two parts, twice the rectangle contained by the whole line...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...IV. THEOR. If a straight line be divided into any two parts, the sqtmre of the whole line is equal in the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB shall be equal to the...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1853
...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...together with twice the rectangle contained by the parts. 2. If a straight line be divided into two equal and also into two unequal parts, the squares of the...
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