Definition & Betydelse | Engelska ordet MIDPOINTS

Definition av MIDPOINTS

1. böjningsform av midpoint

Exempel på hur du använder MIDPOINTS i en mening

• All non-self-crossing quadrilaterals tile the plane, by repeated rotation around the midpoints of their edges.
• The Wheel of the Year is an annual cycle of seasonal festivals, observed by a range of modern pagans, marking the year's chief solar events (solstices and equinoxes) and the midpoints between them.
• For an acute triangle, six of the points (the midpoints and altitude feet) lie on the triangle itself; for an obtuse triangle two of the altitudes have feet outside the triangle, but these feet still belong to the nine-point circle.
• Karl Wilhelm Feuerbach had previously observed that the three feet of the altitudes of a triangle and the three midpoints of its sides all lie on a single circle, but Terquem was the first to prove that this circle also contains the midpoints of the line segments connecting each vertex to the orthocenter of the triangle.
• If squares are constructed all internally or all externally on the sides of an octagon, then the midpoints of the segments connecting the centers of opposite squares form a quadrilateral that is both equidiagonal and orthodiagonal (that is, whose diagonals are equal in length and at right angles to each other).
• In any triangle all of the following nine points are concyclic on what is called the nine-point circle: the midpoints of the three edges, the feet of the three altitudes, and the points halfway between the orthocenter and each of the three vertices.
• The latter property also holds for the tangency point of any of the excircles with the nine–point circle: the greatest distance from this tangency to one of the original triangle's side midpoints equals the sum of the distances to the other two side midpoints.
• The envelope of the area bisectors of a triangle is a deltoid (in the broader sense defined above) with vertices at the midpoints of the medians.
• Voronoi tesselation can be used to define their spatial relationships—divisions are made at the midpoints between the centroids of each texel and the centroids of every surrounding texel for the entire texture.
• Rectification (geometry), truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
• The medians of any triangle dissect it into six equal area smaller triangles as in the figure above where three adjacent pairs of triangles meet at the midpoints D, E and F.
• The star in this scroll is not one of the regular forms of the hendecagram, but instead uses lines that connect the vertices of a hendecagon to nearly-opposite midpoints of the hendecagon's edges.
• The design also showed a winding of gold wire with its midpoints crossed by a galvanometer's indicator, invoking the electrical engineer's Wheatstone bridge.
• In order to estimate the mode of the underlying distribution, the usual practice is to discretize the data by assigning frequency values to intervals of equal distance, as for making a histogram, effectively replacing the values by the midpoints of the.
• Hjelmslev's theorem, the statement that the midpoints of corresponding pairs of points in an isometry of lines are collinear.
• In Euclidean geometry, rectification, also known as critical truncation or complete-truncation, is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
• A reference triangle's medial triangle is congruent to the triangle whose vertices are the midpoints between the reference triangle's orthocenter and its vertices.
• The rectified tesseract may be constructed from the tesseract by truncating its vertices at the midpoints of its edges.
• Of the nine points defining the nine-point circle, the three midpoints of line segments between the vertices and the orthocenter are reflections of the triangle's midpoints about its nine-point center.
• Three of the area bisectors of a triangle are its medians, which connect the vertices to the opposite side midpoints.

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