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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, 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
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...to the squares described on the sides which contain the right angle. 7. 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 on the other part. 8. In a circle the angle in a semicircle is a right angle;...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - 1885 - 312 páginas
...together with four times the square on the line joining the points of bisection. 6. Divide a given line into two parts, so that the rectangle contained by the whole and one segment may be equal to any multiple of the square on the other segment. 7. If P be any point in the...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...together with lour times the square on the line joining the points of bisection. 6. Divide a given line into two parts, so that the rectangle contained by the whole and one segment may be equal to any multiple of the square on the other segment. 7. If P be any point in the...
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The Elements of Geometry

George Bruce Halsted - 1886 - 366 páginas
...in A, rectangle + AG* = GF* = GH* = AH* + AG*, by 243 J 112 PROBLEM II. 313. To divide a given sect into two parts so that the rectangle contained by...and one of the parts shall be equal to the square on the other part. Jf X GIVEN, the sect AB. REQUIRED, to find a point C such that rectangle AB,BC =...
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Calendar of Dalhousie College and University

Dalhousie University - 1887
...between the points of section, is equal to the square on half the line. 10. 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 on the other part. 11. Tf a straight line touch a circle, and from the point...
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Annual Report

Canada. Department of the Interior - 1888
...triangle, and have one of its angles equal to a given rectilineal angle. 3. 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 on the other part, and prove this algebraically also. 4. From a given circle cat off a segment which...
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Wisconsin Journal of Education, Volumen18

1888
...the third digit is twice the sum of the other two. Find the number. 5. Divide a line 20 inches long into two parts so that the rectangle contained by the whole and one part may be equal to the square of the other part. 6. Solve xs -f- ys = i8xy. x + y = 12. 7. The hypothenuse...
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...prove that the angle contained by these two sides is a right angle. -">. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall !«• i-qual to the square of the other part. Female Candidates for Class I will omit the 1st and...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...contained by the two parts, together with the square on the aforesaid part. 5. 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 on the other part. Describe a right-angled triangle sucl1 that the rectangle...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...construction only, necessary in each of the following problems: — (a) 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 on the other part. (6) To describe a square that shall be equal to a given rectilineal figure. (11.14.)...
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