Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 106
for practical purposes. These formulse are derived in text-booksfor the sake of completeness. 58. Definitions of tangent, normal, subtangent, sub-normal. — If a secant P Q of any curve revolve about one ofthe points of intersection Puntil the point Q moves up tocoincidence with P, the limit-ing… … Fig. 84. Note. — The idea of tangency should be clearly explained by theteacher. 59. Equation of the tangent to the circle x^ -}- ?/ = r- atthe point (oc^, y^). — Let P be (x^,y^), and Q an adjacentpoint on the circle (Xc,, y^. Equation of chord PQ is l^lll = h.^Zll .... (1)If Q approaches P, then…
Geometry, Analytic
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