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 . 1 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 . 1 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 . M F E L H K C B 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 . M F E L H K C B Then , since KL , CI , are parallel ; and the plane KI , meeting the two parallel planes ABC , GHI ...
Page 437
... axis , it is perpendicular to the base CKD and to every circular section EPF parallel to the base ; it is also perpendicular to AGK . Hence , the common section PR of the planes AGK , EPF , is perpendi- cular to BCD and therefore to AH ...
... axis , it is perpendicular to the base CKD and to every circular section EPF parallel to the base ; it is also perpendicular to AGK . Hence , the common section PR of the planes AGK , EPF , is perpendi- cular to BCD and therefore to AH ...
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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