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the "semiprojection" of a point on a line will mean the midpoint between the point and its orthogonal projection on the line.
В "semiprojection" из точки на линии будет означать середину между точкой и ее ортогональные проекции на линии.
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of course, if three points are collinear, their semiprojections on any line are collinear, too (in fact, point its semiprojection on a given line is an affine mapping).
Конечно, если три точки лежат, их semiprojections на любой строке лежат, слишком (по сути, точки его semiprojection на данной линии является affine карт).
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now, since the points d, d" and a are collinear, the points d, , - being their semiprojections on the line bc - are collinear, too, i. e. the line passes through . similarly, the lines and pass through and , respectively, qed..
Теперь, с точки d, d "и a лежат вопросы, d, , - в их semiprojections на линии bc - лежат, тоже i. e. линии проходит через . Кроме того, в соответствии с и через и , соответственно, qed ..
Last Update: 2018-02-21
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