Books Books 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. Elements of geometry, based on Euclid, books i-iii - Page 71
by Edward Atkins - 1876 - 119 pages ## Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...omitting 2 rect. AM, MX from each side, we get sq. on AX + sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — To divide a given straight...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... ## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...given point (C). Show that the locus of D is a circle. Produce AC to B so that CB=AC, and use Ex. 203. PROPOSITION 11. PROBLEM. To divide a given straight...that the rectangle contained by the whole and one part shall be equal to the square on the other. Let AB be the given st. line ; it is required to divide... ## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 7. To divide a given straight line into two parts, so that the rectangle contained by the whola and one of the parts may be equal to the square on the other part. For Admission as Teacher of... ## Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...employed, but the method of proof must be geometrical. Great importance will be attached to accuracy I\ i. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. If the straight line PQ is... ## The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...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... ## Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...sum of their squares may equal a given square, and their rectangle, a given rectangle. 19. 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. 20. Divide a given line into... ## The Educational Record of the Province of Quebec: The Medium ..., Volume 11

Education - 1891 - 442 pages
...whole and that part together with the square on the other part. Prove this proposition. 8. Divide a 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. 9. If a straight line be divided into any two parts,... ## Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...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 5. If a straight line be divided into any two parts, the squares on the whole line andón one of the... ## Examinations Papers

1891 - 718 pages
...the squares on half the line bisected and on the line made up of the half and the part produced. 6. Divide a given straight line into two parts so that the rectangle contained bv the whole and one of the parts may be equal to the square on the other part. 7. If a diameter of... 