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4 with each of the two lines, namely α, β, γ and δ and then α 1, β 1, γ 1 and δ 1; and; 4 of which are interior (between the two lines), namely α, β, γ 1 and δ 1 and 4 of which are exterior, namely α 1, β 1, γ and δ. A transversal that cuts two parallel lines at right angles is called a perpendicular transversal.
One such strategy for improving reading comprehension is the technique called SQ3R introduced by Francis Pleasant Robinson in his 1946 book Effective Study. [28] Between 1969 and 2000, a number of "strategies" were devised for teaching students to employ self-guided methods for improving reading comprehension.
Since these are equivalent properties, any one of them could be taken as the definition of parallel lines in Euclidean space, but the first and third properties involve measurement, and so, are "more complicated" than the second. Thus, the second property is the one usually chosen as the defining property of parallel lines in Euclidean geometry ...
A parallelogram has rotational symmetry of order 2 (through 180°) (or order 4 if a square). If it also has exactly two lines of reflectional symmetry then it must be a rhombus or an oblong (a non-square rectangle). If it has four lines of reflectional symmetry, it is a square.
For a convex quadrilateral with at most two parallel sides, the Newton line is the line that connects the midpoints of the two diagonals. [7] For a hexagon with vertices lying on a conic we have the Pascal line and, in the special case where the conic is a pair of lines, we have the Pappus line. Parallel lines are lines in the same plane that ...
The notion of transversality of a pair of submanifolds is easily extended to transversality of a submanifold and a map to the ambient manifold, or to a pair of maps to the ambient manifold, by asking whether the pushforwards of the tangent spaces along the preimage of points of intersection of the images generate the entire tangent space of the ambient manifold. [2]
In differential geometry, parallel transport (or parallel translation [a]) is a way of transporting geometrical data along smooth curves in a manifold. If the manifold is equipped with an affine connection (a covariant derivative or connection on the tangent bundle ), then this connection allows one to transport vectors of the manifold along ...
The 4th parallel north is a circle of latitude that is 4 degrees north of the Earth's equatorial plane. It crosses the Atlantic Ocean , Africa , the Indian Ocean , Southeast Asia , the Pacific Ocean , and South America .
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