Examples of using Midpoints in English and their translations into Russian
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The midpoints of the sides of an arbitrary quadrilateral form a parallelogram.
The Newton line of a quadrilateral is the line defined by the midpoints of its diagonals.
The line segment joining the midpoints of the sides is not perpendicular to either side.
The two bimedians of a convex quadrilateral are the line segments that connect the midpoints of opposite sides.
The Newton line is the line that connects the midpoints of the two diagonals in a convex quadrilateral that is not a parallelogram.
All the centers of inellipses of a given quadrilateral fall on the line segment connecting the midpoints of the diagonals of the quadrilateral.
The line segments connecting the midpoints of opposite sides of a convex quadrilateral intersect in a point that lies on the Newton line.
A midsegment of a triangle is a line segment which joins the midpoints of two sides of the triangle.
The midpoints of the diagonals are collinear, and(as proved by Isaac Newton) also collinear with the center of a conic that is tangent to all four lines of the quadrilateral.
Examples If a polyhedron is not regular, the edge midpoints surrounding a vertex may not be coplanar.
If E, F, G,H are the midpoints of WX, XY, YZ, ZW respectively, then the tangential quadrilateral ABCD is also cyclic if and only if the quadrilateral EFGH is a rectangle.
To remove the rails,push the latch release button on the midpoints of the end piece and unseat each rail.
With a scheme: With random placement: A second common form of the Truchet tiles, due to Smith(1987),decorates each tile with two quarter-circles connecting the midpoints of adjacent sides.
If n{\displaystyle n} is even,there are n/2 axes of symmetry connecting the midpoints of opposite sides and n/ 2{\displaystyle n/2} axes of symmetry connecting opposite vertices.
There is a unique ellipse inscribed in the triangle with vertices z1, z2, z3 andtangent to the sides at their midpoints: the Steiner inellipse.
The two bimedians in a quadrilateral andthe line segment joining the midpoints of the diagonals in that quadrilateral are concurrent and are all bisected by their point of intersection.
A line segment joining a vertex of a tetrahedron with the centroid of the opposite face is called a median, anda line segment joining the midpoints of two opposite edges is called a bimedian.
In a cyclic orthodiagonal quadrilateral, the distance between the midpoints of the diagonals equals the distance between the circumcenter and the point where the diagonals intersect.
Equidiagonal, orthodiagonal quadrilaterals have been referred to as midsquare quadrilaterals because they are the only ones for which the Varignon parallelogram(with vertices at the midpoints of the quadrilateral's sides) is a square.
The vertices of the octahedron lie at the midpoints of the edges of the tetrahedron, and in this sense it relates to the tetrahedron in the same way that the cuboctahedron and icosidodecahedron relate to the other Platonic solids.
In Euclidean geometry, rectification orcomplete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
In all options considered(B to F), the midpoints of the majority of Member States are influenced only marginally by the factor changes as evidenced by fractional changes of the current midpoints. .
However, both bodies agreed that, for all General Service staff(whether locally or non-locally recruited) who retired in countries other than that of their last duty station,cost-of-living differential factors should be applied on the basis of the difference between the midpoints in the salary scales in the country of retirement and that at the last duty station.
If the diagonals of a cyclic quadrilateral intersect at P, and the midpoints of the diagonals are M and N, then the anticenter of the quadrilateral is the orthocenter of triangle MNP.
Varignon's theorem states that the midpoints of the sides of an arbitrary quadrilateral form the vertices of a parallelogram, and if the quadrilateral is not self-intersecting then the area of the parallelogram is half the area of the quadrilateral.
For each original point P, take the average F of all n(recently created) face points for faces touching P, and take the average R of all n edge midpoints for(original) edges touching P, where each edge midpoint is the average of its two endpoint vertices not to be confused with new"edge points" above.
If M andN are the midpoints of the diagonals, and E and F are the intersection points of the extensions of opposite sides, then the area of a bicentric quadrilateral is given by K 2 M N⋅ E I⋅ F I E F{\displaystyle K={\frac{2MN\cdot EI\cdot FI}{EF}}} where I is the center of the incircle.
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.
If M1 andM2 are the midpoints of the diagonals AC and BD respectively in a tangential quadrilateral ABCD with incenter I, and if the pairs of opposite sides meet at J and K with M3 being the midpoint of JK, then the points M3, M1, I, and M2 are collinear.
To determine the unknown potentials at the midpoints h of the branches-chords, a system of linear equations of the order h is formed, the coefficients and right-hand parts of which are formed from the results of h additional calculations of currents for different variants of fixed values of the potentials.