A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 420
... axis . Then the different positions assumed by the re- volving plane will be those of different planes drawn through the straight line . PROP . IV . One plane , and one plane only , can be drawn , 1o . Through a straight line , and a ...
... axis . Then the different positions assumed by the re- volving plane will be those of different planes drawn through the straight line . PROP . IV . One plane , and one plane only , can be drawn , 1o . Through a straight line , and a ...
Page 431
... axis of a sphere is the fixed right line about which the semicircle revolves . Thus AC , in the figure above , is the axis of the sphere . 6. The centre of a sphere is the same with that of the semicircle . 7. The diameter of a sphere ...
... axis of a sphere is the fixed right line about which the semicircle revolves . Thus AC , in the figure above , is the axis of the sphere . 6. The centre of a sphere is the same with that of the semicircle . 7. The diameter of a sphere ...
Page 432
... axis of a cone is the fixed right line about which the triangle revolves . In figure above , AB is the axis . 10. The base of a cone is the circle described by that side containing the right angle which revolves . 11. A cylinder is a ...
... axis of a cone is the fixed right line about which the triangle revolves . In figure above , AB is the axis . 10. The base of a cone is the circle described by that side containing the right angle which revolves . 11. A cylinder is a ...
Page 434
... axis of the cylinder MK , and meet the section GHI in the three points H , I , L ; and join the points as in the figure . D M , E K H Then , since KL , CI , are parallel ; and the plane KI , meeting the two parallel planes ABC , GHI ...
... axis of the cylinder MK , and meet the section GHI in the three points H , I , L ; and join the points as in the figure . D M , E K H Then , since KL , CI , are parallel ; and the plane KI , meeting the two parallel planes ABC , GHI ...
Page 436
... two parallel planes ; and let the planes ACE , ADE , pass through the axis of the cone AKE , meeting the section in the three points H , I , K. B F Then , since the section GHI is parallel to the 436 SOLID GEOMETRY .
... two parallel planes ; and let the planes ACE , ADE , pass through the axis of the cone AKE , meeting the section in the three points H , I , K. B F Then , since the section GHI is parallel to the 436 SOLID GEOMETRY .
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes 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 quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards