Examples of Analytical Geometry of Three DimensionsMacmillan, 1864 - 84 σελίδες |
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Σελίδα 1
... plane . Let OA , OB , OC be three edges of a rectangular paral- lelepiped ... passing through D , E , F. 2. Find the equation to the plane passing through G , A , B. 3. Find the ... passes through EXAMPLES OF ANALYTICAL GEOMETRY OF ...
... plane . Let OA , OB , OC be three edges of a rectangular paral- lelepiped ... passing through D , E , F. 2. Find the equation to the plane passing through G , A , B. 3. Find the ... passes through EXAMPLES OF ANALYTICAL GEOMETRY OF ...
Σελίδα 2
... plane which contains the line whose equations are 15 . Ax + By + Cz = D , A'x + B'y + C'z = D ' , and the point ( a , ß , y ) . Find the equation to the plane which passes through the origin and through the line of intersection of the ...
... plane which contains the line whose equations are 15 . Ax + By + Cz = D , A'x + B'y + C'z = D ' , and the point ( a , ß , y ) . Find the equation to the plane which passes through the origin and through the line of intersection of the ...
Σελίδα 3
Isaac Todhunter. 18. Shew that the equation to a plane which passes through the point ( a , B , y ) and cuts off portions a , b from the axes of x and y respectively is X a B + - 21/0 ឌ α 1 + για b -1 } . 19. Find ... plane which passes ...
Isaac Todhunter. 18. Shew that the equation to a plane which passes through the point ( a , B , y ) and cuts off portions a , b from the axes of x and y respectively is X a B + - 21/0 ឌ α 1 + για b -1 } . 19. Find ... plane which passes ...
Σελίδα 4
... passes through a given point and is perpendicular to the line of intersection of two given planes . 32 ... plane OMN , then will cosec2 = cosec2 a + cosec2 B + cosec2 33. Apply the equation to a plane x cos a 4 THE STRAIGHT LINE AND PLANE .
... passes through a given point and is perpendicular to the line of intersection of two given planes . 32 ... plane OMN , then will cosec2 = cosec2 a + cosec2 B + cosec2 33. Apply the equation to a plane x cos a 4 THE STRAIGHT LINE AND PLANE .
Σελίδα 5
... pass through the origin if aa ' + bb ' + cc ' = pp ' , where Ρ and p ' are ... planes are where lx + my + nz = p , l'x + m'y + n'z = p ' , 12 12 + m2 + n2 = 1 , l'2 + m22 + n22 = 1 ... plane parallel to two THE STRAIGHT LINE AND PLANE . 5.
... pass through the origin if aa ' + bb ' + cc ' = pp ' , where Ρ and p ' are ... planes are where lx + my + nz = p , l'x + m'y + n'z = p ' , 12 12 + m2 + n2 = 1 , l'2 + m22 + n22 = 1 ... plane parallel to two THE STRAIGHT LINE AND PLANE . 5.
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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.