 | New Brunswick. Board of Education - 1889 - 1004 páginas
...the other two 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... | |
 | Euclid - 1890 - 442 páginas
...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 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.... | |
 | Queensland. Department of Public Instruction - 1890 - 526 páginas
...triangle. 4. Explain clearly the 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 the whole and one of the parts shall be equal to the square on the other part. (6) To describe a square... | |
 | Royal Military College, Sandhurst - 1890 - 144 páginas
...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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 páginas
...of the 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... | |
 | Rupert Deakin - 1891 - 102 páginas
...square on half the line and of the square on the line made up of the half and the part produced. 11. 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. 12. In obtuse-angled triangles, if... | |
 | 1891 - 718 páginas
...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... | |
 | Euclid - 1892 - 460 páginas
...as centre any circle is described, and P is any point upon this circle : shew that PA2 + PB2+ PC2 + PD2 is constant, being equal to 36. The squares on...39. Given a square and one side of a rectangle which is equal to the square, find the other side. 40. Produce a given straight line so that the rectangle... | |
 | James Andrew Blaikie, William Thomson - 1892 - 74 páginas
...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... | |
 | Henry Martyn Taylor - 1893 - 486 páginas
...square on UK are equal to the square on BD and three times the square on AD. 156 PROPOSITION 11. 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 straight... | |
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AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. 
