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  Item Reference: KCLCAL-1891-1892-819

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engineering department cxxxi If the locus of the centres of circles passing through the θ pole and touching the curve rm am cos be called the first derived curve and from this locus second curve is derived and so on then when is integral the th derived curve is circle of radius SECOND AND THIRD YEARS ttclttt VI XI If the vertical angle of triangle be bisected by straight line which also cuts the base the segments of the base shall have the same ratio which the other sides of the triangle have to one another Prove also the converse of this proportion 10 Similar triangles are to one another in the duplicate ratio of their homologous sides Two circles intersect in PQ is straight line through terminated by the two circles PB QB meet the circles again in Β shew that BQ AQ AB BP AM AP 11 Describe rectilineal figure which shall be similar to one given rectilineal figure and equal to another rectilineal figure 12 If straight line cut the sides or the sides produced of triangle the product of the three segments in order is equal to the product of the other three segments 13 If two straig'ht lines be at right angles to the same plane they shall be parallel to one another 14 ABCD is parallelogram and Ρ any point in straight line parallel to BG but not in the same plane as the parallelo- gram PA Ρ Β are produced to Τ and so that PA AT Ρ Β BS Find the locus of the intersection of TO SC
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