The Principles of Analytical Geometry, Part 1 |
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Page 3
... axis being inclined at a given angle . Let the coordinates of P be OM = = x1 , MP = y1 , and the coordi- nates of Q , ON = x , QN = y , the angle YOX being w ; then PT being drawn parallel to OX through P , meeting QN in T , we have P ...
... axis being inclined at a given angle . Let the coordinates of P be OM = = x1 , MP = y1 , and the coordi- nates of Q , ON = x , QN = y , the angle YOX being w ; then PT being drawn parallel to OX through P , meeting QN in T , we have P ...
Page 13
... axis of x a part equal to OS , ( a ) and making a given angle ( a ) TSX with the axis of x . It is evident that there is only one straight line which can fulfil these conditions . Let the axes OX , OY be inclined to each other at an angle ...
... axis of x a part equal to OS , ( a ) and making a given angle ( a ) TSX with the axis of x . It is evident that there is only one straight line which can fulfil these conditions . Let the axes OX , OY be inclined to each other at an angle ...
Page 23
... being ( 2 , 3 ) and ( 3 , 4 ) . 6. A straight line inclined to the axis of x at an angle of 30 ° cuts the positive axes in A and B. To find the equation to the straight line passing through the origin and bisecting AB . 7. Find the ...
... being ( 2 , 3 ) and ( 3 , 4 ) . 6. A straight line inclined to the axis of x at an angle of 30 ° cuts the positive axes in A and B. To find the equation to the straight line passing through the origin and bisecting AB . 7. Find the ...
Page 25
... axes being inclined to each other at an angle of 60 ° , find the equation to a straight line parallel to the line ( x + y = 3a ) , and at a distance from it equal to ja √√ ( 3 ) . 20. Find the area between the lines ( y = m , x ) ...
... axes being inclined to each other at an angle of 60 ° , find the equation to a straight line parallel to the line ( x + y = 3a ) , and at a distance from it equal to ja √√ ( 3 ) . 20. Find the area between the lines ( y = m , x ) ...
Page 30
... axes being inclined at an angle w . and Let the equations to the given lines be y = mx + b ... ......... .. y = mx + b ' ............. .. ( 1 ) , . ( 2 ) . If ( 1 ) and ( 2 ) be inclined 30 ANALYTICAL GEOMETRY . The Axes being Oblique.
... axes being inclined at an angle w . and Let the equations to the given lines be y = mx + b ... ......... .. y = mx + b ' ............. .. ( 1 ) , . ( 2 ) . If ( 1 ) and ( 2 ) be inclined 30 ANALYTICAL GEOMETRY . The Axes being Oblique.
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The Principles of Analytical Geometry: Designed for the Use of Students Henry Parr Hamilton No preview available - 2016 |
Common terms and phrases
ANALYTICAL GEOMETRY angle POX axes being inclined axes being rectangular axis of x bisecting the angle centre Chapter chord of contact circle x² Conic Sections cosa+y cosw Crown 8vo cuts the circle denotes the distance diameter Differential Calculus equal equation becomes equation x² evidently ex recensione Find the coordinates Find the equation Find the length Find the locus fixed point x'y given circle given line Greek HYPERIDES initial line line cutting line joining line OX line represented line ST line whose equation lines are parallel middle points origin of coordinates P₁ perpendicular point of intersection points whose coordinates polar coordinates polar equation PQ² radical axis radius referred required equation Second Edition Shew siny Ox straight line passing substituting tangent Third Edition touching the circle triangle Trinity College University of Cambridge values x²²