A first course in projective geometry . aiG. 67a. cyclic, angle SYZ = angle STZ in Fig. 87b, but supplement ofangle STZ in Fig. 87a. .. angle STY = angle STZ in both Fig. 876. TANGENT AND NORMAL PROPERTIES 169 Note 1. The proof applies equally when the tangents bothtouch the same branch of the hyperbola. Note 2. § 2 is the particular case of this theorem when Tis on the curve. Ex. What does this property become for the parabola ? § 6. Prop. In a central conic, if N, G be the feet of theordinate and normal at P respectively, and C be the centre, {a) CG = e2CN. {h) PG is inversely propor
A first course in projective geometry . aiG. 67a. cyclic, angle SYZ = angle STZ in Fig. 87b, but supplement ofangle STZ in Fig. 87a. .. angle STY = angle STZ in both Fig. 876. TANGENT AND NORMAL PROPERTIES 169 Note 1. The proof applies equally when the tangents bothtouch the same branch of the hyperbola. Note 2. § 2 is the particular case of this theorem when Tis on the curve. Ex. What does this property become for the parabola ? § 6. Prop. In a central conic, if N, G be the feet of theordinate and normal at P respectively, and C be the centre, {a) CG = e2CN. {h) PG is inversely proportional to the central perpendicularon the tangent. Let the tangent at P meet the axis in T (Figs. 88a and 6),
Size: 1758px × 1421px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometryprojective
