The concept of " lateral collinearity " expands on the traditional view of multicollinearity, comprising also collinearity between explanatory and criteria ( i . e ., explained ) variables, in the sense that they may be measuring almost the same thing as each other.
42.
A plane is a flat, two-dimensional surface that extends infinitely far . it can be studied as an affine space, where collinearity and ratios can be studied but not distances; it can be studied as the complex plane using techniques of complex analysis; and so on.
43.
The book introduces the concept of spherical triangle ( figures formed of three great circle arcs, which he named " trilaterals " ) and proves Menelaus'theorem on collinearity of points on the edges of a triangle ( which may have been previously known ) and its analog for spherical triangles.
44.
Collinearity is not the only geometric property of configurations of points that must be maintained for example, five points determine a conic, but six general points do not lie on a conic, so whether any 6-tuple of points lies on a conic is also a projective invariant.
45.
As a consequence, in the specific case in which " S " a " " O ", the homothety becomes a linear transformation, which preserves not only the collinearity of points ( straight lines are mapped to straight lines ), but also vector addition and scalar multiplication.
46.
Other studies also found while any exposure to the partner's sperm during sex appears to decrease the chances of various disorders, women in couples who practiced sex acts other than penile-vaginal sex are less than half as likely to suffer pre-eclampsia; studies reported that it would be impossible to conclusively assume the likely protective effect of other sex acts ( including oral sex ) or the correlation between these sexual practices was due to the presence of collinearity induced by some other protective factor not noted in the studies, for example, greater overall frequency of sex.
