Libros Libros To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. The Elements of Euclid; viz. the first six books, together with the eleventh ... - Página 52
por Euclides - 1814
Vista completa - Acerca de este libro ## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 páginas
...FG", and that these = 2 AC* + 2 CD!. H PROPOSITION XI. E ._ Problem. To divide a given straight line into two parts, so that the rectangle contained by...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...
Vista completa - Acerca de este libro ## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 páginas
...rectangle contained by the whole and one of the parts, may be equal to the square of the other part. Let AB be the given straight line ; it is required to divide it * The ten foregoing proposition)! may all be proved very easily by means of algebra, in connexion with...
Vista completa - Acerca de este libro ## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...the mean distance. PROPOSITION XI. PROBLEM. To divide a given straight line in medial section. Let AB be the given straight line ; it is required to divide it in medial section. Upon AB describe the square ABDC (I. 46) ; bisect AC in E (1. 10), and join BE ;...
Vista completa - Acerca de este libro ## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...PROP. X. PROB. Tobiseet a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. «. . Describe* upon AB an equilateral triangle ABC, „,',' and bisect* the angle ACB...
Vista completa - Acerca de este libro ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 páginas
...PROP. X. PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle...
Vista completa - Acerca de este libro ## An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - 1840 - 605 páginas
...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...
Vista completa - Acerca de este libro ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 páginas
...PROP. X. PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line; it is required to divide it into two equal parts. * 1. 1. Describe* upon it an equilateral triangle ABC, and * 9. I- bisect* the angle ACB...
Vista completa - Acerca de este libro ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...PROP. X. PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line; it is required to divide it into two equal parts. Describe (1.1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle AC в...
Vista completa - Acerca de este libro ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 páginas
...PROP. X. PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle ACB...
Vista completa - Acerca de este libro ## The British Annals of Education for ...: Being The Scholastic ..., Volumen1

1844
...each of the parts are together equal to the square of the whole line. 7. Divide a given straight line into two parts, so that the rectangle contained by...parts shall be equal to the square of the other part. 8. If in a circle two straight lines cut one another, which do not both pass through the centre, they...
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