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" If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to 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... "
Examination Papers for Science Schools and Classes - Page 30
by Great Britain. Education Department. Department of Science and Art - 1886
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900
...line be divided into any two parts the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole...that part together with the square on the other part. 4. Show that the sum of the squares on two straight lines is never less than half the square on the...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 531 pages
...equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 10. From a given point 0 external to a given...
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900
...equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 10. From a given point 0 external to a given...
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Annual Report of the Commissioners ..., Volume 68

1902
...the line. 5. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by the whole, and that part, together with the square of the other part. 6. If a straight line be bisected and produced...
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Elementary Geometry: Plane

James McMahon - Geometry, Plane - 1903 - 358 pages
...parts, the square on the sum of the whole line and one part is equivalent to four times the rectangle of the whole line and that part, together with the square on the other part. Let the line AB be divided at E. To prove that the square on the sum of AB and EB is equivalent to four...
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - Education - 1903 - 619 pages
...on the whole line, together with the square on one part, is equal to twice the rectangle oentained by the whole line and that part, together with the square on the other part. Show that this proposition corresponds to a well-known algebraical formula. 6. Prove that if two circles...
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Annual Report of the Commissioners ..., Volume 70

1905
...line be divided into any two parts, the sum of the squares on the whole line and either segment is equal to twice the rectangle contained by the whole line and that segment, together with the square on the other segment. Prove. 3. From a given point without a given...
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Easy Mathematics, Chiefly Arithmetic: Being a Collection of Hints to ...

Sir Oliver Lodge - Arithmetic - 1906 - 436 pages
...straight line is divided into two parts, the sum of the squares on the whole line and one of the parts is equal to twice the rectangle contained by the whole...that part together with the square on the other part. The same figure serves, differently labelled ; but a separate figure may make it clearer. The square...
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - Education - 1906
...(c) algebraically. 6. (a) If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. — II. 7. (6) Compare proposition (a) in...
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Annual Report of the Commissioners ..., Volume 72

1906
...given rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 4. In every triangle the square on the side...
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