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...a statement in elementary geometry about a property of a pair of disjoined circles. ...from Q onto <math>c_P</math> intersect <math>c_P</math> at <math>A </math> and <math>B</math>. Then <math>|AB| = |CD|</math>. ...

==Statement and converse== ...] to the same [[inscribed circle]]. Pitot's theorem states that, for these quadrilaterals, the two sums of lengths of opposite sides are the same. Both sums of lengt ...

...more, let ''E'' and ''F'' the midpoints of its diagonals ''AC'' and ''BD'' and ''P'' be the center of its incircle. Given such a configuration the point P ...bus. In this case, both midpoints and the center of the incircle coincide, and by definition, no Newton line exists. ...

...gle's vertices together with <math>P</math> form a concyclic quadrilateral and hence Ptolemy's theorem yields: *Doug French: ''Teaching and Learning Geometry''. Bloomsbury Publishing, 2004, {{ISBN|9780826434173}} , ...

{{short description|On rays from a point to a line, with equal inscribed circles between adjacent rays}} [[Image:Incircles.JPG|thumb|360px|If the blue circles are equal, the green circles are also equal.]] ...

...diagonals of the quadrilateral remain diagonals of the complete quadrangle and the Newton line of the quadrilateral is the Newton–Gauss line of the comple == Complete quadrilaterals == ...

...t description|Concerns 3 circles through triples of points on the vertices and sides of a triangle}} ...ssing through the vertices of a triangle ''ABC'' and points ''A´'', ''B´'' and ''C´'' on the adjacent sides of the triangle intersecting at a common point ...

...|publisher=John Wiley & Sons|year=1969|location = New York, London, Sydney and Toronto|pages=72–75}}</ref> ...> Expressing the rotation by a [[linear transformation]] <math>T(x)</math> and the dilation as multiplying by a scale factor <math>d</math>, a point <math ...

{{short description|Characterizes spherical triangles with fixed base and area}} ...l circle (dashed green) passing through the points antipodal to {{mvar|A}} and {{mvar|B}}.]] ...

...mean Euclidean geometry studied from this point of view. The completeness and independence of general axiomatic systems are important mathematical consid ...that the primitive terms are just empty shells, place holders if you will, and have no intrinsic properties. ...

...rg/details/geometrylanguage0000taba |title=Geometry: the language of space and form |date=2014 |publisher=Infobase Publishing |isbn=978-0-8160-4953-0 |pag ...heorem]], a problem that was stated in terms of [[elementary arithmetic]], and remained unsolved for several centuries. ...

...chances of getting admitted to a prestigious university<ref name=":16" /> and their parents enroll them in enrichment programs in mathematics.<ref name=" ...al courses for high-school mathematics<ref name=":50" /><ref name=":17" /> and many drop out of STEM programs due to deficient mathematical skills.<ref na ...