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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. "
Elements of Geometry and Conic Sections - Page 63
by Elias Loomis - 1857 - 226 pages
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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, 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 - 592 pages
...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 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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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 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...straight line AB be divided into any two parts in C ; then shall the square on the whole line AB be equal to the squares on the parts AC and CB, together...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 424 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...the straight line AB be divided into any two parts inC; The square on AB shall be equal to the squares on AC and CB, together with twice the rectangle...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the whole and on the other part by twice the rectangle contained by the whole and that other part. Let the straight line AB be divided into any two parts in C. A Then shall the square on AC be < the squares on AB and BC by twice the rectangle AB, BC. s Draw ACS...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...other part, is equal to the square on the straight line, which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point C. Then four times the rectangle AB, BC, together with the square on AC, shall be equal to...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C; PROPOSITIONS. CONSTRUCTION. — Upon AB describe the square ADEB (I. 46), and join BD....
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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 on AC and...
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