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Index

angle line and plane, 76
between line and plane, 76 lines, 75
between lines planes, 71
in space, 75 cone of second order, 83
on plane, 50 connection between rectangular and polar co-
between planes, 71 ordinates, 40
between vectors, 33 cross product, 34
directional, 27 geometric essence, 35
asymptote of hyperbola, 57 in coordinates, 36
axis physical essence, 34
abscissa, 20 properties, 35
applicate, 20 cylinder surface, 84
ordinate, 20
polar, 40 determinant
element, 5
basis higher orders, 8
in space, 29 of second order, 5
on plane, 29 of third order, 6
orthogonal, 30 properties, 6
rectangular, 30 direction cosines of vector, 27
distance from
canonical equation of point to line
circle, 51 in space, 75
ellipse, 53 on plane, 49
hyperbola, 56 point to plane, 70
line, 72 dot product, 31
straight line, 45 in coordinates, 33
center of the line, 63 physical essence, 32
circle, 51 properties, 32
radius, 51
cofactor, 7 eccentricity
condition of theorem, 60
colinearity vectors, 26 ellipse, 52
linear independence of vectors, 28 directrix, 59
non-zero solutions of homogeneous system, eccentricity, 54
18 focus, 52
non-zero solutions of system, 18 parametric equation, 55
parallelity of properties, 53
line and plane, 76 ellipsoid, 78
lines, 50, 75 properties, 78
planes, 71 elliptic cylinder, 85
perpendicularity of elliptic paraboloid, 81
vectors, 33 equation of

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