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In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. [1]
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin( α + β ) = sin α cos β + cos α sin ...
Hindman's theorem (Ramsey theory) Hinge theorem ; Hironaka theorem (algebraic geometry) Hirzebruch signature theorem (topology, algebraic geometry) Hirzebruch–Riemann–Roch theorem (complex manifolds) Hjelmslev's theorem ; Hobby–Rice theorem (mathematical analysis) Hodge index theorem (algebraic surfaces)
Geometrically, we may illustrate this method by drawing the circle x 2 + y 2 = 4 2 and the line y = 2x - 4. The pair of squares sought are then x 0 2 and y 0 2, where (x 0, y 0) is the point not on the y-axis where the line and circle intersect. This is shown in the adjacent diagram.
Tariff threats, drug pricing will be 2 key pharma issues during Trump's first year. Finance. Yahoo Finance. Retirement expert details the 'highest single correlation' to success. Food. Food.
Spades is all about bids, blinds and bags. Play Spades for free on Games.com alone or with a friend in this four player trick taking classic.
PARIS (Reuters) -Iran's acceleration in its enrichment of uranium to close to bomb grade is "extremely serious", has no civilian justification and contradicts Tehran's assertions on wanting ...
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