A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 311
... Perpendicular , or Tangential . 9. Parallel Lines are always at the same perpendicular diş- 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 diş- 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 314
... 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 321
... 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 322
... 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 324
... 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 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