Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 5
... bases and a com- mon vertex in the plane of the triangle is equal to the pyramid which has the triangle for base and the origin for vertex . 34. Find the equations to the straight line joining the points ( a , b , c ) and ( a ' , b ...
... bases and a com- mon vertex in the plane of the triangle is equal to the pyramid which has the triangle for base and the origin for vertex . 34. Find the equations to the straight line joining the points ( a , b , c ) and ( a ' , b ...
Σελίδα 9
... bases BC , AC respectively ; shew that the cones have a common tangent plane , and a common parabolic sec- tion , the plane of the parabola and the tangent plane inter- secting the ellipsoid in ellipses , the area of one of which is ...
... bases BC , AC respectively ; shew that the cones have a common tangent plane , and a common parabolic sec- tion , the plane of the parabola and the tangent plane inter- secting the ellipsoid in ellipses , the area of one of which is ...
Σελίδα 10
... base the circle circumscribed about the opposite face , is ( C + i ) y = + ( 2 + 2 ) 2x + ( † + 1 ) xy = 0 , ( + ) and that the plane ax + by + cz = 0 is parallel to the sub- contrary sections of the cone . Find the corresponding ...
... base the circle circumscribed about the opposite face , is ( C + i ) y = + ( 2 + 2 ) 2x + ( † + 1 ) xy = 0 , ( + ) and that the plane ax + by + cz = 0 is parallel to the sub- contrary sections of the cone . Find the corresponding ...
Σελίδα 12
... base at the extremity of its axis minor ; shew that , if the sine of the inclination of the cutting plane to the base do not exceed the excentricity of the base , the locus of the foci of the section will be a circle . 85. Find the ...
... base at the extremity of its axis minor ; shew that , if the sine of the inclination of the cutting plane to the base do not exceed the excentricity of the base , the locus of the foci of the section will be a circle . 85. Find the ...
Σελίδα 14
... all right cones which have the same given ellipse as base . 97. Find the axes of the section of the ellipsoid х to y2 z2 + 1 made by the plane lx + my + nz = 0 . 98. The semiaxes of an ellipsoid are a , b 14 SURFACES OF THE SECOND ORDER .
... all right cones which have the same given ellipse as base . 97. Find the axes of the section of the ellipsoid х to y2 z2 + 1 made by the plane lx + my + nz = 0 . 98. The semiaxes of an ellipsoid are a , b 14 SURFACES OF THE SECOND ORDER .
Άλλες εκδόσεις - Προβολή όλων
Examples of Analytical Geometry of Three Dimensions Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Examples of Analytical Geometry of Three Dimensions Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
Algebra Arithmetic ax² axis by² Calculus centre circle cloth co-ordinate planes Collection of Examples Conic Sections conical surface conjugate diameters constant contains cos² Crown 8vo curve of intersection cylinder determined developable surface differential equation distance ELEMENTARY ellipse ellipsoid English Find the equation find the locus fixed point fixed straight lines given plane given point hyperbolic hyperboloid John's College late Fellow Latin line of intersection Morocco numerous Examples origin osculating plane parabola paraboloid plane parallel plane passing plane which passes planes are drawn points of contact principal radii principal sections radii of curvature represent right angles right cone Second Edition second order shew sphere ST JOHN'S COLLEGE student surface of revolution surface whose equation tangent plane tetrahedron tions Treatise vertex volume x² y² y² z² y²+z²
Δημοφιλή αποσπάσματα
Σελίδα 15 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Σελίδα 5 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Σελίδα 7 - Calculus — a connection which in some instances involves far more than a merely formal analogy. The work is in some measure designed as a sequel to Professor Boole's Treatise on Differential Equations.
Σελίδα 9 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.