Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Página iv
... equation between two quantities x and y . Definition of a locus • 23. Division of equations into Algebraical and Transcendental 24. Some equations do not admit of loci 25. The position of a point in a plane determined . Equations to a ...
... equation between two quantities x and y . Definition of a locus • 23. Division of equations into Algebraical and Transcendental 24. Some equations do not admit of loci 25. The position of a point in a plane determined . Equations to a ...
Página vii
... equation to the tangent 73 , 74. The Polar equation between u and is 12 or u2 - - - · 2 cu cos . ( 6 — α ) + c2 — p2 = 0 , - --- 2 { b sin . + a cos . s . O } u + a2 + b2 — r2 = 0 . Page • 40 41 CHAPTER VI . DISCUSSION OF THE GENERAL ...
... equation to the tangent 73 , 74. The Polar equation between u and is 12 or u2 - - - · 2 cu cos . ( 6 — α ) + c2 — p2 = 0 , - --- 2 { b sin . + a cos . s . O } u + a2 + b2 — r2 = 0 . Page • 40 41 CHAPTER VI . DISCUSSION OF THE GENERAL ...
Página viii
... equation when belonging to a Parabola 92. Transferring the axes through an angle 6 , where tan . 20 · a - e · 93. The coefficient of x2 or y2 disappears 94. Transferring the origin reduces the equation to one of the forms , a y ′′ 2+ e ...
... equation when belonging to a Parabola 92. Transferring the axes through an angle 6 , where tan . 20 · a - e · 93. The coefficient of x2 or y2 disappears 94. Transferring the origin reduces the equation to one of the forms , a y ′′ 2+ e ...
Página xii
... equation of the second order to the form xy = k2 a ( tan . 6 ) 2 + b tan . 6 + c = 0 . 207. To find the value of U 209. Examples . If ca , the curve is rectangular 211. Given the equation x y = k2 , to find the equation referred to ...
... equation of the second order to the form xy = k2 a ( tan . 6 ) 2 + b tan . 6 + c = 0 . 207. To find the value of U 209. Examples . If ca , the curve is rectangular 211. Given the equation x y = k2 , to find the equation referred to ...
Página xiii
... equation to the tangent is yy = 2m ( x + x " ) 119 · . 120 120 233 , 4. The subtangent MT 2 AM , A y = MP . The tangent at the vertex coincides with the axis of y 235. The equation to the tangent at the extremity of the Latus Rectum is ...
... equation to the tangent is yy = 2m ( x + x " ) 119 · . 120 120 233 , 4. The subtangent MT 2 AM , A y = MP . The tangent at the vertex coincides with the axis of y 235. The equation to the tangent at the extremity of the Latus Rectum is ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical