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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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 sider
...oc=6c+c2. PROP. IV. THEOR. IJ a straight lint be divided into any two parts, the square of the whole line u equal to 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 is equal to the squares...
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The Edinburgh university calendar

Edinburgh univ - 1868
...greater than the base of the other. 3. 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. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...a* = i»s + 2m» + »*. That is, if a number be divided into any two parts, the square of the number is equal to the squares of the two parts together with twice the product of the two parts. From Euc. n. 4, may be deduced a proof of Eue. I. 47. In the fig. take DL...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...together equal to two right angles. 4. 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. 5. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 16 sider
...If a line be divided into two parts, the square on the whole is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let AB (fig. 144) be divided in C ; then the square on AB = the sum of the squares on AC, CB, together...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 sider
...THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent to 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 on AB is equivalent to the...
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How to Prepare for Civil Service Competition, Under the New Regulations

Patrick Weston Joyce - 1871
...divided into any two parts, the square deseribed on the whole line is equal to the squares deseribed on the two parts, together with twice the rectangle contained by the parts. 2. Deseribe a regular pentagon about a given cirele. 3. Similar triangles are to one another in the...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...straight line be divided into any two parts, the square mi the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Or X Let the St. line AH be divided into any two parts in C. Then must sq. on AB = sum ofsqq. on AC,...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...CB, together with the square of BC. -If a straiyht 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 "tarts. ca Let AB be divided into any two parts in C ; then the square of AB shall be equal to the...
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Pure mathematics, Volum 1

Edward Atkins - 1874
...be divided into any two parts, the square on t/ie whole line is equal to the sum of the squares on 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 on AB shall be equal to the...
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