A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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... Hyperbola . 661 Solid Angles 427 Transformation of Co - ordinates 663 Solid Geometry 431 Polar Co - ordinates 666 Spherical Geometry 442 Of Three Dimensions 673 Parabola 450 Equations of a point . 673 Ellipse 457 Hyperbola 472 ...
... Hyperbola . 661 Solid Angles 427 Transformation of Co - ordinates 663 Solid Geometry 431 Polar Co - ordinates 666 Spherical Geometry 442 Of Three Dimensions 673 Parabola 450 Equations of a point . 673 Ellipse 457 Hyperbola 472 ...
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... Hyperbola Application of Algebra to Geometry Problems in Maxima and Minima PLANE TRIGONOMETRY . MENSURATION . Mensuration of Planes Mensuration of Solids • Definitions . 493 495 Computation of sines , tangents , & c . Practical ...
... Hyperbola Application of Algebra to Geometry Problems in Maxima and Minima PLANE TRIGONOMETRY . MENSURATION . Mensuration of Planes Mensuration of Solids • Definitions . 493 495 Computation of sines , tangents , & c . Practical ...
Page 427
... D , 0 ; E , 0 ; Then , since the sum of all the angles of every triangle is always equal to two right angles , the E P sum of all the angles of the triangles ABP , PROPOSITIONS . 427 Equation to the Hyperbola 661 Solid Angles.
... D , 0 ; E , 0 ; Then , since the sum of all the angles of every triangle is always equal to two right angles , the E P sum of all the angles of the triangles ABP , PROPOSITIONS . 427 Equation to the Hyperbola 661 Solid Angles.
Page 438
... hyperbola . • R E D F N P H Let DGEH be any circular section , BGH a triangular section through the vertex B of the cone parallel to the plane RAP . Then , AN EN :: BF : EF NM : ND :: BF : FD AN X NM : EN × ND ( NP2 ) :: BF * : EF × FD ...
... hyperbola . • R E D F N P H Let DGEH be any circular section , BGH a triangular section through the vertex B of the cone parallel to the plane RAP . Then , AN EN :: BF : EF NM : ND :: BF : FD AN X NM : EN × ND ( NP2 ) :: BF * : EF × FD ...
Page 449
... HYPERBOLA . Before entering upon the discussion of their properties , it may be useful to enumerate the more useful theorems of proportion which have been proved in , the treatises on Algebra and Geometry , or which are immediately ...
... HYPERBOLA . Before entering upon the discussion of their properties , it may be useful to enumerate the more useful theorems of proportion which have been proved in , the treatises on Algebra and Geometry , or which are immediately ...
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Common terms and phrases
algebraic axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards