A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 357
... 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 produced on the side ...
... 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 produced on the side ...
Page 360
... perpendicular to each other . A quarter of the circum- ference is sometimes called a Quadrant . 54. The Height or Altitude of a figure is a perpendicular let fall from an angle , or its vertex , to the opposite side , called the base ...
... perpendicular to each other . A quarter of the circum- ference is sometimes called a Quadrant . 54. The Height or Altitude of a figure is a perpendicular let fall from an angle , or its vertex , to the opposite side , called the base ...
Page 367
... perpendicular to one , of two parallel lines , are also perpendicular to the other . THEOREM XIII . When a line , cutting two other lines , makes the alternate angles equal to each other , those two lines are parallel . Let the line EF ...
... perpendicular to one , of two parallel lines , are also perpendicular to the other . THEOREM XIII . When a line , cutting two other lines , makes the alternate angles equal to each other , those two lines are parallel . Let the line EF ...
Page 368
... perpendicular to the same line , are parallel to each other . THEOREM XIV . When a line cuts two parallel lines ... perpendicular to EF . Then will this line be also perpendicular to both the lines AB , CD ( corol . th . 12 ) , and ...
... perpendicular to the same line , are parallel to each other . THEOREM XIV . When a line cuts two parallel lines ... perpendicular to EF . Then will this line be also perpendicular to both the lines AB , CD ( corol . th . 12 ) , and ...
Page 370
... perpendicular is the shortest line that can be drawn from a given point to an indefinite line . And , of any other lines drawn from the same point , those that are nearest the perpendicular are less than those more remote . If AB , AC ...
... perpendicular is the shortest line that can be drawn from a given point to an indefinite line . And , of any other lines drawn from the same point , those that are nearest the perpendicular are less than those more remote . If AB , AC ...
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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