. The principles of projective geometry applied to the straight line and conic . ■.LO OLBL • CL OC&mfiOL^ 23—2 356 Principles of Projective Geometry. Similarly, from the areiis of the triangles LOG and BOL,BJl _ OIJ. OB ,CL _(JB •■ CL:CL~OC- 12. The feet of the perpendiculars to the sides of a triamjle from any point on itscircumcircle are collinear. Let ABC be the triangle ; P any point on itscircumcircle and /i, Z, J/ the feet of the perpen-diculars from P on the sides of ABC. Join M to Kand L. Angle /WA= n - angle PBK since P, il/, A, i> are concyclic= angleiM(7 si
. The principles of projective geometry applied to the straight line and conic . ■.LO OLBL • CL OC&mfiOL^ 23—2 356 Principles of Projective Geometry. Similarly, from the areiis of the triangles LOG and BOL,BJl _ OIJ. OB ,CL _(JB •■ CL:CL~OC- 12. The feet of the perpendiculars to the sides of a triamjle from any point on itscircumcircle are collinear. Let ABC be the triangle ; P any point on itscircumcircle and /i, Z, J/ the feet of the perpen-diculars from P on the sides of ABC. Join M to Kand L. Angle /WA= n - angle PBK since P, il/, A, i> are concyclic= angleiM(7 since /*, ^1, C, B are concyclic= 7r -angle PAL= TT - angle /WZ since P, M, A, L are J/A and i/Z are in the same straight line. 13. If M he the point where the radical axis of two circles, whose centres anand Ci, meets their line of centres, then thesquare of the tangent from any point P on thefirst circle to the second circle is equal to2. CCi. JVAf, when N is the foot of the perpen-dicular from P on the line of centres. Let PT be a tangent to the circle centre C^from P a point on the circle centre C, and letR and r be the radii o
Size: 1462px × 1709px
Photo credit: © Reading Room 2020 / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometryprojective
