A Course of Mathematics: Composed for the Use of the Royal Military Academy |
From inside the book
Results 1-5 of 100
Page
... tangents , & c . Practical Solutions of the Four Cases Application to Heights & Distances MENSURATION . Problems respecting straight lines and planes 684 493 ยท 495 497 DIFFERENTIAL CALCULUS . Definitions . 504 689 To find the first ...
... tangents , & c . Practical Solutions of the Four Cases Application to Heights & Distances MENSURATION . Problems respecting straight lines and planes 684 493 ยท 495 497 DIFFERENTIAL CALCULUS . Definitions . 504 689 To find the first ...
Page 357
... 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 381
... 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 382
... 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 383
... 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 ...
Other editions - View all
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