 | Mechanical engineering - 1916 - 1826 pages
...The tanFio. 51. FIG. 52. Fia. 53. loot at any point P (Fig. 51) bisects the angle between PF and PF'. The locus of the foot of the perpendicular from the focus on a moving tangent is the circle on the principal axis as diameter (Fig. 52). The locus of the point... | |
 | Edward Vermilye Huntington, Louis Albert Fischer - Engineering - 1916 - 196 pages
...The tanFia. 51. FIG. 52. FIG. 53. gent at any point.? (Fig. 51) bisects the angle betweenPf andPi". The locus of the foot of the perpendicular from the focus on a moving tangent is the circle on the principal axis as diameter (Fig. 52). The locus of the point... | |
 | Edward Vermilye Huntington - Engineering - 1918 - 226 pages
...tanFiu. 51. Fiu. 52. F1u. 53. gent at any point P (Fig. 51) bisects the angle between Pi' and Pi". The locus of the foot of the perpendicular from the focus on a moving tangent is the circle on the principal axis as diameter (Fig. 52). The locus of the point... | |
 | William Kingdon Clifford - Mathematics - 2007 - 768 pages
...now inquire what is the pedal of an n-fold parabola with regard to the focus, that is to say, what is the locus of the foot of the perpendicular from the focus on the tangent. It is easy to prove — as was pointed out by Dr Hirst — that this pedal is the inverse of the polar... | |
 | G. S. Pandey - 2002 - 178 pages
...cosa=X— e and sin a =5 Eliminating a we get which is the required condition of tangency. Example 3: Find the locus of the foot of the perpendicular from the focus on the tangent to the conic //r=l+e cos 6. Solution: The equation of the tangent at any point 'a' of the conic is... | |
 | Mathematics - 1871 - 280 pages
...enquire what is the pedal of an м-fold parabola with regard to the focus, that is to say, what is the locus of the foot of the perpendicular from the focus on the tangent. It is easy to prove — as was pointed out by Dr. Hirst — that this pedal is the inverse of the polar... | |
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... the locus of the centres of circles described through the origin to touch the inverse curve. Thus from the theorem that the locus of the foot of the perpendicular from the focus on the tangent of a conic is a circle, we deduce (as Mr. 
