Treatise on Conic Sections |
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Apollonius Archimedes Archytas Aristaeus asymptotes axes axial triangle bisected Book central conic centre circle cone conic sections conjugate diameters conjugate hyperbola construction corresponding draw drawn parallel ellipse equal equation Euclid Eutocius figure follows four-line locus geometrical given Hence intersection Join latus rectum M₁H meet the curve Menaechmus middle point normal opposite branch ordinate Pappus parabola parallel to QQ parallelogram parameter perpendicular plane problem Proclus produced proof Prop Proposition proved quadrilateral ratio rectangle reductio ad absurdum reference respectively right angles right cone segment similar triangles similarly solution square Suppose tangent at Q theorems treatise vertex whence αἱ ἄρα δὲ ἐπὶ ἔχει καὶ ΜΗ πρὸς τὸ ἀπὸ τὰ τῇ τὴν τῆς τοῦ τῷ τῶν ὑπὸ ὡς