An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
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Page 5
... coinciding Modern World, it covered from the British Isles and Gibraltar in the west to western China and India in the east and from southern Germany, the Ukraine and Kazakhstan in the north to North Africa, Ethiopia and the Arabian Sea ...
... coinciding Modern World, it covered from the British Isles and Gibraltar in the west to western China and India in the east and from southern Germany, the Ukraine and Kazakhstan in the north to North Africa, Ethiopia and the Arabian Sea ...
Page 2
... coincide . 7. Two line segments are equal , if when placed one upon the other so that two of their end points coincide the other two end points also coincide . 8. Two geometric figures are congruent if they can be made to coincide ...
... coincide . 7. Two line segments are equal , if when placed one upon the other so that two of their end points coincide the other two end points also coincide . 8. Two geometric figures are congruent if they can be made to coincide ...
Page 14
... coincide- State conclusion and axiom . 15. If , when one line is placed on another , their ex- tremities coincide and every point in the first line coincides with a corresponding point in the second line , the lines are equal . State ...
... coincide- State conclusion and axiom . 15. If , when one line is placed on another , their ex- tremities coincide and every point in the first line coincides with a corresponding point in the second line , the lines are equal . State ...
Page 7
... coincide . THEOREM IV . If a plane figure be displaced the planes perpendicular to the chords joining congruent points at their middle points pass through a point , a line or coincide . NEW HAVEN , CONN . , APRIL , 1900 . * Study ...
... coincide . THEOREM IV . If a plane figure be displaced the planes perpendicular to the chords joining congruent points at their middle points pass through a point , a line or coincide . NEW HAVEN , CONN . , APRIL , 1900 . * Study ...
Page 8
... coincide with two points of another straight line , the two lines cannot but coincide throughout their entire length . This definition does not tell us how to draw a straight line . It gives us a test which we may apply to a line to ...
... coincide with two points of another straight line , the two lines cannot but coincide throughout their entire length . This definition does not tell us how to draw a straight line . It gives us a test which we may apply to a line to ...
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Common terms and phrases
aa+bB+cy angular points asymptotes auxiliary conic b₁ Brianchon's Theorem C₁ centre Chap chord co-ordinates coefficients common tangents conic passing conic section determinant directrix find the equation fixed point fixed straight line focus follows four points given conic given point given straight line Hence imaginary internal bisectors investigated Let the equation line at infinity locus meets the conic nine-point circle obtain opposite sides pair parabola Pascal's Theorem perpendicular point f point of intersection points at infinity points of contact polar reciprocal projection prove radical axis reciprocal curve reciprocated with respect rectangular hyperbola represented right angles second degree similar and similarly system of conics tangents drawn theorem three points three straight lines triangle of reference ua² uf+w'g+v'h Vb² vß² W'ab Wc² whence wy²