A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 377
... perpendicular and the two extremes of the base , or equal to the rect- angle of the base and the difference or sum of the segments , according as the perpendicular falls within or without the triangle . That is , ( AC + BC ) . ( AC — BC ) ...
... perpendicular and the two extremes of the base , or equal to the rect- angle of the base and the difference or sum of the segments , according as the perpendicular falls within or without the triangle . That is , ( AC + BC ) . ( AC — BC ) ...
Page 378
... perpendicular from the acute angle . Let ABC be a triangle , having the angle A acute , and CD perpendicular to AB ; then will the square of BC be less than the squares of AB , AC , by twice the rectangle of AB , AD . That is , BC2 AB2 ...
... perpendicular from the acute angle . Let ABC be a triangle , having the angle A acute , and CD perpendicular to AB ; then will the square of BC be less than the squares of AB , AC , by twice the rectangle of AB , AD . That is , BC2 AB2 ...
Page 379
... perpendicular to it ; or , if it be perpendicular to the chord , it will bisect both the chord and the arc of the chord . Let AB be any chord in a circle , and CD a line drawn from the centre C to the chord . Then , if the chord be ...
... perpendicular to it ; or , if it be perpendicular to the chord , it will bisect both the chord and the arc of the chord . Let AB be any chord in a circle , and CD a line drawn from the centre C to the chord . Then , if the chord be ...
Page 381
... perpendicular to the extremity of a radius , is a 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 ...
... perpendicular to the extremity of a radius , is a 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 ...
Page 382
... perpendicular to that line . Corol . Hence , conversely , a line drawn perpendicular to a tangent , at the point of contact , passes through the centre of the circle .川井 THEOREM XLVIII . The angle formed by a tangent and chord is ...
... perpendicular to that line . Corol . Hence , conversely , a line drawn perpendicular to a tangent , at the point of contact , passes through the centre of the circle .川井 THEOREM XLVIII . The angle formed by a tangent and chord is ...
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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