A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 311
... Tangent to a circle , or other curve , when it touches it , without cutting , although both are produced . 13. An Angle is the inclination or opening of two lines , having different directions , and meeting in a point . 14. Angles are ...
... Tangent to a circle , or other curve , when it touches it , without cutting , although both are produced . 13. An Angle is the inclination or opening of two lines , having different directions , and meeting in a point . 14. Angles are ...
Page 335
... tangent to the circle . Let the line ADB be perpendicular to the radius CD of a circle ; then shall AB touch the circle in the point D only . From any other point E in the line AB draw CFE to the centre , cutting the circle in F. Then ...
... tangent to the circle . Let the line ADB be perpendicular to the radius CD of a circle ; then shall AB touch the circle in the point D only . From any other point E in the line AB draw CFE to the centre , cutting the circle in F. Then ...
Page 336
... tangent to a circle , a radius drawn to the point of contact is perpendicular to the tangent . Let the line AB touch the circumference of a circle at the point D ; then will the radius CD be perpendicular to the tangent AB . [ See the ...
... tangent to a circle , a radius drawn to the point of contact is perpendicular to the tangent . Let the line AB touch the circumference of a circle at the point D ; then will the radius CD be perpendicular to the tangent AB . [ See the ...
Page 337
... tangent DE to pass through the point of contact A : then , the angle DAC being measured by half the arc ABC , and the angle DAB by half the arc AB ( th . 48 ) ; it follows , by equal subtraction , that the differ- ence , or angle BAC ...
... tangent DE to pass through the point of contact A : then , the angle DAC being measured by half the arc ABC , and the angle DAB by half the arc AB ( th . 48 ) ; it follows , by equal subtraction , that the differ- ence , or angle BAC ...
Page 338
... tangent to a circle , and a chord drawn from the point of contact , is equal to the angle in the alternate segment . If AB be a tangent , and AC a chord , and D any angle in the alternate segment ADC ; then will the angle D be equal to ...
... tangent to a circle , and a chord drawn from the point of contact , is equal to the angle in the alternate segment . If AB be a tangent , and AC a chord , and D any angle in the alternate segment ADC ; then will the angle D be equal to ...
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Common terms and phrases
algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards