Calendar: 1872-1873 Page 557

558 APPLIED SCIENCES Plane tonutru FIRST TEAR circle of 1" radius contains an irregular polygon ABDEFQ at the centre the angle GCA 76 ACB 57 BCD 47 DCE 57 the side £F measure and write down the length of the side FG Construct plain scale from which can be taken an actual measurement of 55 inches Show general method of constructing polygon on given line Construct rectangle its sides AB ΒC being 2"-5 and 15 respectively also square equal to it in area SECOND YEAR line AB is 2"long find in it point Cin such position that the rectangle contained by AB BCis equal to the square on AC Construct rhombus sides 1"5 in length included angle 40 Construct square equal to it in area Find mean proportional to the lines AB 2'' long and CD Γ-25 long THIRD YEAR Draw triangle having its sides in the proportion of 2£ and 1£ respectively and in circle of 1"75 radius inscribe triangle with simile angles 10 Show general or special method of inscribing regular polygon pentagon cr heptagon in given circle 11 Draw circle 2" diameter and show the segment of it which would contain an angle of 50 12 Draw triangle having its sides 225 "2 5- and respec- tively and on straight line AB 1" in length construct parallelogram equal to it in area but with an included angle of 70