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" 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. "
A companion to Euclid: being a help to the understanding and remembering of ... - Página 45
por Euclides - 1837 - 88 páginas
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Libro 2

James Andrew Blaikie, William Thomson - 1892
...to the line. CHAPTER II. PROBLEMS. § 39. Problems which follow directly from known propositions. 1. Divide a given straight line into two parts so that the rectangle contained by the parts shall be equal to a given square. This is a converse problem to Euc. II. 14, and the following...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 páginas
...its parallel sides. PROBLEMS. 37. Construct a rectangle equal to the difference of two squares. 38. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square described on a given straight line which is less than half the straight...
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1893
...sum of squares on one pair of opposite sides is equal to the sum of squares on the other pair. 4- (a) To divide a given straight line into two parts so that the rectangle contained by the whole and one part shall be equal to the square on the other part, (b) Show that when a line is divided as in this...
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Annual Report of the Department of Education

New Brunswick. Department of Education - 1893
...sum of squares on one pair of opposite sides is equal to the sum of squares on the other pair. 4. (a) To divide a given straight line into two parts so that the rectangle contained by the whole and one part shall be equal to the square on the other part, (b) Show that when a line is divided as in this...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 225 páginas
...intersection with О draw .L to diameter. Segments of diameter are sides of required CD. (P. x.) i9. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may equal the square of a line given less than the line to be divided. I. Erect a .L at one end of...
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Euclid's Elements of Geometry, Libros 1-6

Henry Martyn Taylor - 1893 - 504 páginas
...a chord, one of whose segments shall be four times as long as the other. When is this possible? 4. Divide a given straight line into two parts, so that the rectangle contained by the parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...the four walls "would be 116 square yards ; find the dimensions of the room. (25.) B. 27. Show how to divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts may be equal to the square on the other part. Given a line AB, show how to produce it to a point P,...
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The Manitoba School Question

Frederick Coate Wade - 1895 - 122 páginas
...square on half the line. Construct a rectangle equal to the difference between two given squares. 5. To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts may be equal to the square on the other part. If one side of a triangle be bisected, the sum of the...
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Euclid's Elements of Geometry, Libros 1-6;Libro 11

Henry Martyn Taylor - 1895 - 657 páginas
...a chord, one of whose segments shall be four times as long as the other. When is this possible? 4. Divide a given straight line into two parts, so that the rectangle contained by the parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. 6. In every triangle, the square on the side subtending...
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