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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: Viz. the First Six Books, Together with the Eleventh ... - Side 55
av Euclid, Robert Simson - 1821 - 516 sider
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Bok 2

James Blaikie - 1892 - 74 sider
...contained by the whole line and each of the parts. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the square on that part, together with the rectangle contained by the parts. 4. If...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 486 sider
...respectively, the angle BAC is a right angle. PROPOSITION 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 sum of the square on that part and the rectangle contained by the two parts*. Let the...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 708 sider
...respectively, the angle BAC is a right angle. PROPOSITION 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 sum of the square on that part and the rectangle contained by the two parts*. Let the...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897 - 446 sider
...20, without producing a side of the triangle. 7 6. 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 square on that part together with the rectangle contained by the two parts. 8 7. If...
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Calendar of the University of Sydney

University of Sydney - 1898 - 548 sider
...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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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bok 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 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 and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and the...
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Calendar, for the Year ...

1900 - 166 sider
...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 - 548 sider
...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 - 482 sider
...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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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 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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