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S M Nazmuz Sakib Cosine–Weighted Pedal Isometry: A Tight-Frame Identity for Triangle Side Normals

open access: yes
We present a new quadratic identity in Euclidean triangle geometry—the S M Naz-muz Sakib Cosine–Weighted Pedal Isometry. Given a nondegenerate triangle ABC witharea ∆ and circumradius R, and signed perpendicular distances da(X), db(X), dc(X)from any point X to the sidelines BC, CA, AB, respectively, define weights wa = a cos A(cyclically). Then for all
openaire   +1 more source

On inequality R_p<R of the pedal triangle [PDF]

open access: yesMathematical Inequalities & Applications, 2013
openaire   +1 more source

New information on the Hind limb feathering, soft tissues and skeleton of Microraptor (Theropoda: Dromaeosauridae). [PDF]

open access: yesBMC Ecol Evol
Chotard M   +12 more
europepmc   +1 more source

Vectorial principles of sensorimotor decoding. [PDF]

open access: yesFront Hum Neurosci
Tsytsarev V   +7 more
europepmc   +1 more source

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