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 Llibres Llibres 11 - 20 de 98 sobre AB be the given straight line ; it is required to divide it into two parts, so that.... AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. The Principles of Analytical Geometry ... - Pàgina 11
per Henry Parr Hamilton - 1826 - 326 pàgines
Visualització completa - Sobre aquest llibre ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pàgines
...straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Upon AB describe (46. I.) the square ABDC; bisect (10. 1.) AC in E, and join BE ; produce С A to F,...
Visualització completa - Sobre aquest llibre ## An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 312 pàgines
...required to divide a line, of 20 inches in length, into two such parts that the rectangle of (he whole and one of the parts shall be equal to the square of the other. Ans. 10^5-10, and 30—10^/5 6. It is required to divide the number 60 into two such parts that their...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pàgines
...PROB. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Let AB be the given straight line ; it is required to divide .it into two parts, so that the rectangle...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 pàgines
...PROB. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Let AB be the given straight line; it is required to divide it into two parts, so that the rectangle...
Visualització completa - Sobre aquest llibre ## The Element of Geometry

John Playfair - 1836 - 114 pàgines
...PROB. ff To divide a given straight line into two partx, so that the rectangle con tained by the whole and one of the parts shall be equal to the square of the other part. Let AB be the given straight line : it is required to divide it into two parts, so that the rectangle...
Visualització completa - Sobre aquest llibre ## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of c KT~i the other part. Steps of the Demonstration. 1. Prove that CF x FA + AE* = EF*, and that this...
Visualització completa - Sobre aquest llibre ## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...PROS. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Let AB be the given straight line: it is required to divide it into two parts, so that the rectangle...
Visualització completa - Sobre aquest llibre ## An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - 1840 - 605 pàgines
...required to divide a line of 20 inches in length, into two such parts that the rectangle of the whple and one- of the parts shall be equal to the square of the other. Let one part — x ; then the other will be 20 — x. And by the question 20(20 — х)=з?, or ^+20^=400...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...PROB. 1 To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part. Let AB be the given straight line; it is required to divide it into two parts, so that the rectangle...
Visualització completa - Sobre aquest llibre ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pàgines
...; it is required to divide it into two parts, so that the rectangle contained by Ji ft. the whole, and one of the parts, shall be equal to the square of the other part. Upon AB describe (46. 1.) the square ABDC; bisect (10. 1.) AC in E, and join BE ; produce CA to F,...
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