Calendar: 1861-1862 Page 500

GENERAL LITERATURE AND SCIENCE 501 17 box contains silver coins all different another box quantity of pence halfpence and farthings How many sums can be formed by taking silver coins and copper ones together IS Sum to η terms- 13 33 53 ן 3ך ן &c- 19 If Α Τ represent work number of workmen and time and if oc when Τ is given and W2 χ Τ when is given find how long men would take to do one-fifth of the work which 24 men can do in 25 hours 20 Prove that η η zl η &c η 21 Eliminate χ from the equations- -b -f ix d-e -0 ין -ff II lane Crtgonomttrj airtf CEucIft If solid be contained by three plane angles any two of them are greater than the third Having given the angle of regular hexagon and the angle of regular pentagon find the limits of the third angle Give definitions of "cone "sphere and "prism If the base of pyramid be square and the sides equilateral triangles find the inclination of the edges to the base What will be the height of the pyramid and the area of side if it cover 10 000 square yards of ground Prove the formulas sin sin cos Β -f- sin Β cos cos cos cos Β sin sin and show cos sin cos Β sin C-A cos sin -B Show which of the trigonometrical ratios are the same for an angle and for its complement Which of the ratios admit of no values between -1 and