The Principles of Analytical Geometry, Part 1 |
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Page 1
... determined if we know the length PM drawn parallel to OY and PN drawn parallel to OX : for suppose that PM is three ... determines the point P. 2. Instead of two lines of reference being given suppose there is only one OX , then if S ...
... determined if we know the length PM drawn parallel to OY and PN drawn parallel to OX : for suppose that PM is three ... determines the point P. 2. Instead of two lines of reference being given suppose there is only one OX , then if S ...
Page 2
... determined if we have the following equations : x = a and y = b , where a and b are known quantities . It is necessary to know however not only the absolute values of a and b , but also the signs of these quantities . Thus , for example ...
... determined if we have the following equations : x = a and y = b , where a and b are known quantities . It is necessary to know however not only the absolute values of a and b , but also the signs of these quantities . Thus , for example ...
Page 3
... determine , viz . the x of the point and also the y of the point , we must therefore have two separate and independent equations between x and y . If however we have given only one equation between x and y , as for example or y - x = 1 ...
... determine , viz . the x of the point and also the y of the point , we must therefore have two separate and independent equations between x and y . If however we have given only one equation between x and y , as for example or y - x = 1 ...
Page 4
... determined by referring it to two fixed lines in that plane , we may however determine its position by another method . Suppose the line OX passing through the fixed point is given in position , then it is evident that the position of ...
... determined by referring it to two fixed lines in that plane , we may however determine its position by another method . Suppose the line OX passing through the fixed point is given in position , then it is evident that the position of ...
Page 5
where and a are known quantities , and this method of determining the position of a point is termed the method . of polar coordinates . 11. To determine the distance between two points whose polar coordinates are given . Let P and P ...
where and a are known quantities , and this method of determining the position of a point is termed the method . of polar coordinates . 11. To determine the distance between two points whose polar coordinates are given . Let P and P ...
Other editions - View all
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