A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 376
... describe the square AE , and on AC , CB , the squares AG , BH ; then draw CK parallel to AD or BE ; and join AI , BF , CD , CE . D K H B Now , because the line AC meets the two CG , CB , so as to make two right angles , these two form ...
... describe the square AE , and on AC , CB , the squares AG , BH ; then draw CK parallel to AD or BE ; and join AI , BF , CD , CE . D K H B Now , because the line AC meets the two CG , CB , so as to make two right angles , these two form ...
Page 402
... describe an arc , cutting off the equal lines AD , AE ; and from the two centres D , E , with the same radius , describe arcs inter- secting in F ; then draw AF , which will bisect the angle A as required . Join DF , EF . Then the two ...
... describe an arc , cutting off the equal lines AD , AE ; and from the two centres D , E , with the same radius , describe arcs inter- secting in F ; then draw AF , which will bisect the angle A as required . Join DF , EF . Then the two ...
Page 403
... describe arcs inter- secting in F ; then join CF , which will be perpendicular as required . AD C EB Draw the two equal radii DF , EF . Then the two tri- angles CDF , CEF , having the two sides CD , DF , equal to the two CE , EF , and ...
... describe arcs inter- secting in F ; then join CF , which will be perpendicular as required . AD C EB Draw the two equal radii DF , EF . Then the two tri- angles CDF , CEF , having the two sides CD , DF , equal to the two CE , EF , and ...
Page 404
... describe an With the centre B , and distance BC , describe another arc , cutting the former in C. Draw AC , BC , and ABC will be the triangle required . For the radii , or sides of the triangle , AC , BC , are equal to the given lines ...
... describe an With the centre B , and distance BC , describe another arc , cutting the former in C. Draw AC , BC , and ABC will be the triangle required . For the radii , or sides of the triangle , AC , BC , are equal to the given lines ...
Page 406
... describe a circle ; and make CD perpendicular to AB , meeting the circumfer- ence in D : so shall a square described on CD be equal to AD2 - AC2 , or AB2— AC2 , as required ( cor . th . 34 ) . PROBLEM XV . To make a triangle equal to a ...
... describe a circle ; and make CD perpendicular to AB , meeting the circumfer- ence in D : so shall a square described on CD be equal to AD2 - AC2 , or AB2— AC2 , as required ( cor . th . 34 ) . PROBLEM XV . To make a triangle equal to a ...
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Common terms and phrases
algebraic axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote 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 proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards