A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 357
... Parallel , Oblique , Perpendicular , or Tangential . 9. Parallel Lines are always at the same perpendicular dis- tance ; and they never meet , though ever so far produced . 10. Oblique Lines change their distance , and would meet , if ...
... Parallel , Oblique , Perpendicular , or Tangential . 9. Parallel Lines are always at the same perpendicular dis- tance ; and they never meet , though ever so far produced . 10. Oblique Lines change their distance , and would meet , if ...
Page 359
... parallel . 38. A Trapezoid has only one pair of opposite sides parallel . 39. A Diagonal is a line joining any two opposite angles of a quadrilateral . 40. Plane figures that have more than four sides are , in general , called Polygons ...
... parallel . 38. A Trapezoid has only one pair of opposite sides parallel . 39. A Diagonal is a line joining any two opposite angles of a quadrilateral . 40. Plane figures that have more than four sides are , in general , called Polygons ...
Page 367
... parallel lines , it makes the alternate angles equal to each other . Let the line EF cut the two parallel lines AB , CD ; then will the angle AEF be equal to the alternate angle EFD . For if they are not equal , one of them must be ...
... parallel lines , it makes the alternate angles equal to each other . Let the line EF cut the two parallel lines AB , CD ; then will the angle AEF be equal to the alternate angle EFD . For if they are not equal , one of them must be ...
Page 368
... parallel to each other . THEOREM XIV . When a line cuts two parallel lines , the outward angle is equal to the inward opposite one , on the same side ; and the two inward angles , on the same side , are together equal to two right ...
... parallel to each other . THEOREM XIV . When a line cuts two parallel lines , the outward angle is equal to the inward opposite one , on the same side ; and the two inward angles , on the same side , are together equal to two right ...
Page 371
... parallel , as also the sides AD and BC ( defin . 32 ) , and the line BD meets them ; therefore the alternate angles ... parallel . Let ABCD be a quadrangle , having the opposite sides equal , namely , the side AB equal to DC , and AD ...
... parallel , as also the sides AD and BC ( defin . 32 ) , and the line BD meets them ; therefore the alternate angles ... parallel . Let ABCD be a quadrangle , having the opposite sides equal , namely , the side AB equal to DC , and AD ...
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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