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" If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 60
av Euclid, Isaac Todhunter - 1883 - 400 sider
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Calendar

University of Sydney - 1898
...drawn through a given point in one side of it. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part....
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The Elements of Plane Geometry

Charles Austin Hobbs - 1899 - 240 sider
...produced and the part of it produced together with the square on half the line bisected is equivalent to the square on the straight line which is made up of the half and the part produced. 608. If a straight line is bisected and produced to any point, the sum...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...points of Euclid's proof. PROPOSITION 8. THEOREM. If a straight line, is divided into any two jmrts, four times the rectangle contained by the whole line...the straight line which is made up of the whole and the first named part. BC. Let AB be divided at C. Produce AB to D, making BD equal to BC Then shall...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 6. The square on the sum of two unequal straight lines is greater than...
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Calendar, for the Year ...

1900
...series -i._,.— + , 2 2* 2* 2* 6. Shew how to divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal (i.) to the square, (ii.) to double of the square on the other part. 7. Prove that if...
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The School World, Volum 3

1901
...about the diagonal of a rhombus is a rhombus. (5) Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Show that there may be two points of division. (6) Equal...
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Annual Report of the Commissioners ..., Volum 68

1902
...Inspector. Mr. HUGHES, District Inspector. i SECTION A. 1. Divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without a circle two straight lines...
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Calendar, for the Year ...

1903
...the whole line thus produced and the part of it produced, and the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 4. Prove that the locus of a point, whose distance from one of two fixed...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 355 sider
...and each of the parts. (Draw a figure.) Ex. 1O92. If a straight line is divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. (Draw a...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...the figure and the leading points of Euclid-s proof. PROPOSITION 8. THEOREM. If a straight line is divided into any two parts, four times the rectangle...the straight line which is made up of the whole and the first named part. Let AB be divided at C. Produce AB to D, making BD equal to BC. Then shall four...
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