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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 of the whole and that... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 55
por Euclid - 1810 - 518 páginas
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A Text-book of Euclid's Elements for the Use of Schools. Books I ..., Libro 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...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 páginas
...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, Volumen3

1901 - 548 páginas
...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 ..., Volumen68

1902 - 482 páginas
...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 páginas
...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, Libro 1

Euclid - 1904 - 488 páginas
...points of Euclid-s proof. PROPOSITION 8. THEOREM. If a straight line is divided into any two parts, 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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Science Examinations ... Reports, Etc

1906 - 502 páginas
...answers to Q.'s 24, 2f,, 26. Q. 21. Show how to divide a given straight lino 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. If A, B, C be three given straight lines, show how to...
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Elementary Algebra

Charles Godfrey - 1918 - 574 páginas
...inscribed in a circle of diameter 1 3 units ; find its sides. 27. Divide a line 1 foot long so that the rectangle contained by the whole line and one of the parts may be equal to twice the square on the other part. 28. Divide a line 10 inches long eo that the rectangle...
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Mathematics

David Eugene Smith - 1923 - 200 páginas
...two lines or two numbers. He also seems to have been able to divide a line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square on the other part. Expressed algebraically, if a is the length of the line and...
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Parliamentary Papers, Volumen19

Great Britain. Parliament. House of Commons - 1861 - 588 páginas
...from the opposite angle and the angle aforesaid. 7. If a straight lino be divided into any two parts the rectangle contained by the whole line and one...with the square of the other part is equal to the rectangle contained by the whole line and the latter part together with the square of the former part....
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