The Principles of Analytical Geometry, Part 1 |
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Page 1
... lines of reference . Thus , for example , if the two lines OX , OY in the plane of the paper be fixed in position , the point P will evidently be determined if we know the length PM drawn parallel to OY and PN drawn parallel to OX : for ...
... lines of reference . Thus , for example , if the two lines OX , OY in the plane of the paper be fixed in position , the point P will evidently be determined if we know the length PM drawn parallel to OY and PN drawn parallel to OX : for ...
Page 11
... parallel to the axis of y . Similarly , the equation to a line parallel to the axis of x will be y = a constant . This is just what we should expect from other considerations . 17. Let the data to ... lines OX and OY THE STRAIGHT LINE . 11.
... parallel to the axis of y . Similarly , the equation to a line parallel to the axis of x will be y = a constant . This is just what we should expect from other considerations . 17. Let the data to ... lines OX and OY THE STRAIGHT LINE . 11.
Page 12
Let , as before , the lines OX and OY be the axes of coordinates , and let T and S be the two points through which the line ... parallel to OX meeting TV in B and PM in C , then the two triangles PCS and TBS are similar ; therefore or PC : CS ...
Let , as before , the lines OX and OY be the axes of coordinates , and let T and S be the two points through which the line ... parallel to OX meeting TV in B and PM in C , then the two triangles PCS and TBS are similar ; therefore or PC : CS ...
Page 20
... lines intersect at a point , the X and the Y of which are infinitely great , or , in other words , that the lines are parallel ; this is what might have been expected for Art . 18 , Cor . 1 , the al B A being rectangular and - B ' - A ...
... lines intersect at a point , the X and the Y of which are infinitely great , or , in other words , that the lines are parallel ; this is what might have been expected for Art . 18 , Cor . 1 , the al B A being rectangular and - B ' - A ...
Page 25
... line y = = mx +3 may pass through the intersection of the lines y = x + 1 and y = 2x + 2 . 19. The 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 ...
... line y = = mx +3 may pass through the intersection of the lines y = x + 1 and y = 2x + 2 . 19. The 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 ...
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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