Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 273
d ellipses which in turn are perpen-dicular to each other and have one axis in common. From this definition equation [84] can be easily derived.Let CRA and ASB be fixed ellipses perpendicular to each other, and having thesemi-axis OA in com-mon, and the second axes0(7 and OB, respectively;and let… … s Fig. 102. WP , JOT*MS I.e. MK 2» =1, MW , OM 0<f OA ^ MS.OM ^ ob oa *i^--« SB as- ■ «■ By equations (2) and (3), ^^f^ = l, (2) MS^ se_. .ox MS -<-S) Substitution in (1) gives ^ + r; + ^ = 1- a 0 <r Moreover, every algebraic equation of the form Ax + Bf+Cz-K=0 represents an ellipsoid. If…
Geometry, Analytic
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
