A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 438
... axis is to AM as FH to BF . Cor . If GT , HT , be tangents to the circle at G , H ; and planes passing through GT ... axes of the hyperbola being in the proportion of BF to FH , the angle GBH or the equal angle OCQ is the angle between ...
... axis is to AM as FH to BF . Cor . If GT , HT , be tangents to the circle at G , H ; and planes passing through GT ... axes of the hyperbola being in the proportion of BF to FH , the angle GBH or the equal angle OCQ is the angle between ...
Page 440
... axis , the square FG will describe a cylinder AG , and the quadrant IFG will describe a hemisphere EFG , and the triangle IFB will describe a cone IAB . Also , in the rotation , the three lines , or parts , KL , KN , KM , as radii ...
... axis , the square FG will describe a cylinder AG , and the quadrant IFG will describe a hemisphere EFG , and the triangle IFB will describe a cone IAB . Also , in the rotation , the three lines , or parts , KL , KN , KM , as radii ...
Page 442
... axis of a sphere is a straight line drawn through the centre , and terminated both ways by the surface . B P It appears from Def . 1 , that all the radii of the same sphere are equal , and that all the diameters are equal , and each ...
... axis of a sphere is a straight line drawn through the centre , and terminated both ways by the surface . B P It appears from Def . 1 , that all the radii of the same sphere are equal , and that all the diameters are equal , and each ...
Page 445
... axis , and their circumfer- ences through the poles of their primary ; and that the poles of any great circle may always be determined by the intersection of any two of its secondaries . 2. The arcs of all secondaries intercepted ...
... axis , and their circumfer- ences through the poles of their primary ; and that the poles of any great circle may always be determined by the intersection of any two of its secondaries . 2. The arcs of all secondaries intercepted ...
Page 446
... axis of the great circles drawn through their poles being perpendicular to the planes of the circles , the angles under these axes will be equal to the angle between the circles ; but the angle under the axes is obviously measured by ...
... axis of the great circles drawn through their poles being perpendicular to the planes of the circles , the angles under these axes will be equal to the angle between the circles ; but the angle under the axes is obviously measured by ...
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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