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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 Educational Record of the Province of Quebec: The Medium Through which ... - Side 186
1891
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## The Elements of Geometry

George Bruce Halsted - 1886 - 394 sider
...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 the whole 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...
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## Calendar of Dalhousie College and University

Dalhousie University - 1887 - 206 sider
...the line 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...parts may be equal to the square on the other part. 11. Tf a straight line touch a circle, and from the point of contact a straight line be drawn at right...
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## Calendar

Bedford College - 1888 - 240 sider
...— AE LEE. 1. Prove that the perpendicular bisectors of the sides of a triangle meet at a point. 2. Divide a 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. 3. Describe a circle to pass through three given...
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## Wisconsin Journal of Education, Bind 18

1888 - 694 sider
...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

Canada. Department of the Interior - 1888 - 756 sider
...squares on the two parts, together with twice the rectangle contained by the parts. 7. Divide a ;ivon straight line into two parts, so that the rectangle contained by the whole an<l one of the parts shall be equal to the square on the other part. 8. Describe a square that shall...
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## Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - 1889 - 1006 sider
...sides of it, 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...
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## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 354 sider
...shall be equal to the rectangle contained by the sum and difference of two given straight lines. 5. Divide a straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. If AB be divided in C so...
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## The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 414 sider
...triangles OAB, OBC, OCA are equal. 59. Construct a square that shall be one-third of a given square. 60. Divide a straight line into two parts so that the rectangle contained by the whole and one part may be equal to a given square. 61. Produce AB to C so that the rectangle of AB and AC may be...
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## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...complements, show that the complement is equal to half the other parallelogram. Ex. 652. — Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the rectangle contained by the other part and a given finite straight line. Ex....
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## Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 sider
...sq. on AX + sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — 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. Let AB be the given st. line. On AB describe the...
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