Solving Spatial Constraints with Generalized Distance Geometry

Yang, Lü

doi:10.1007/978-1-4614-5128-0_6

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2018

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“…2 . After that, an analytic expression of PO is obtained by the distance geometry method [ 4 ]. Based on this expression, conjecture ( 2 ) is transformed and proved with the help of a Maple package Bottema [ 5 ] in Sect.…”

Section: Introductionmentioning

confidence: 99%

Two inequalities about the pedal triangle

Huang¹

2018

J Inequal Appl

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Two conjectures about the pedal triangle are proved. For the first conjecture, the product of the distances from an interior point to the vertices is mainly considered and a lower bound is obtained by the geometric method. To prove the other one, an analytic expression of the distance between the circumcenter and an interior point is achieved by the distance geometry method. A procedure to transform the geometric inequality to an algebraic one is presented. And then the proof is finished with the help of a Maple package, Bottema. The proof process could be applied to similar problems.

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Section: Introductionmentioning

confidence: 99%

Two inequalities about the pedal triangle

Huang¹

2018

J Inequal Appl

View full text Add to dashboard Cite

show abstract

Solving Spatial Constraints with Generalized Distance Geometry

Cited by 1 publication

References 19 publications

Two inequalities about the pedal triangle

Two inequalities about the pedal triangle

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