| Euclid - 1890 - 400 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
...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... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 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 - 515 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 - 79 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
...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 - 518 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
...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 - 504 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... | |
| New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...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... | |
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