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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. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Page 48
by Alexander Ingram - 1799 - 351 pages
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...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. 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 - Geometry, Plane - 1870 - 304 pages
...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 - Geometry - 1871 - 302 pages
...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 squares...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...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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How to Prepare for Civil Service Competition, Under the New Regulations

Patrick Weston Joyce - Civil service - 1871 - 170 pages
...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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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...a straiyht 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 "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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...straight line be divided into any two parts, the square on the whole line is equal to 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. Then the square on AB shall be equal to the squares...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...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 squares...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...straight line be divided into any two parts, the square on the whole line is equal to 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 ; then shall the square on the whole line AB be...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...line be divided into any two parts, the square on the 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 lino AB be divided into any two parts in C ; The square On AB shall be equal to the squares...
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