Results 41 to 50 of about 1,256 (187)
The Perpendicular Bisectors Construction, the Isoptic Point and the Simson Line of a Quadrilateral
, 2011 Given a noncyclic quadrilateral, we consider an iterative procedure producing a new quadrilateral at each step. At each iteration, the vertices of the new quadrilateral are the circumcenters of the triad circles of the previous generation quadrilateral. The main goal of the paper is to prove a number of interesting properties of the limit point of this
Radko, Olga, Tsukerman, Emmanuel
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The Anatomical Record, EarlyView.Abstract Arhinolemur scalabrinii† Ameghino, 1898 was originally described as a strepsirrhine primate (Mammalia) but has been recognized as an anostomid fish since 2012. It remains the only extinct anostomid species known from complete cranial material.
Karen M. Panzeri +8 more
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A refined energy bound for perpendicular bisectors
, 2016 Let $\mathcal{P}$ be a set of $n$ points in the Euclidean plane. We prove that, for any $ε> 0$, either a single line or circle contains $n/2$ points of $\mathcal{P}$, or the number of distinct perpendicular bisectors determined by pairs of points in $\mathcal{P}$ is $Ω(n^{52/35 - ε})$, where the constant implied by the $Ω$ notation depends on ...
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New Theorem on Perpendicular Bisectors of Focal Radii of an Ellipse
Mapana - Journal of Sciences, 2006 Ellipse is one of the conic sections,it is sort of elongated circle. It is the locus of a point that moves in such a way that the ratio of its distance from a fixed point to its distance from a fixed point to its distance from a fixed line equals to constant 'e'.
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Redescription of the Triassic cynodont Cistecynodon parvus and reassessment of its phylogeny
The Anatomical Record, EarlyView.Abstract Cynodontia is an important subclade of Therapsida that first occurred in the late Permian. It includes extinct subclades which are the non‐mammaliaform cynodonts and Mammaliaformes, with the latter ultimately giving rise to crown mammals. The systematics of non‐mammaliaform cynodonts has been extensively studied and is relatively well‐resolved,
Erin S. Lund +4 more
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The mechanism of labor in nonhuman primates: A look inside
The Anatomical Record, EarlyView.Abstract While in humans, the flexed position of the fetus and its rotating course down the birth canal are well documented, in other primates the mechanism of labor is unknown. Despite the lack of comparative data, it is commonly assumed that the human obstetric mechanism is unique, and anthropologists have disputed when and why the transition to the ...
Melissa K. Stoller
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72. A variable parallel is drawn to the base of a triangle ABC, meeting AB, AC in Q, R; BM, CN are perpendicular to the bisector of the vertical angle. If QM, RN meet at P, it is required to prove that the circumcircle of PQR touches the inscribed circle of ABC and also one of the exscribed circles [PDF]
The Mathematical Gazette, 1899 n ...
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The Anatomical Record, EarlyView.Abstract Prozostrodon brasiliensis, a probainognathian cynodont of the clade Prozostrodontia, is recognized as a key taxon for understanding the origin of Mammaliaformes and mammals. Despite detailed investigations of its cranial anatomy, the postcranial skeleton has received comparatively less attention.
Iasmim M. Michelotti +4 more
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Fascicle measurement methods do result in lengths that are significantly different
The Anatomical Record, EarlyView.A recent comparison of the most prevalent methods for measuring fascicles, in situ measurement versus chemical digestion, concluded that the measurements are indistinguishable based on data from different conspecific individuals. However, our study of contralateral muscles of the same individuals shows that the methods clearly result in statistically ...
Katherine M. Clark +5 more
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Grooved Surface of the Obturator Internus Muscle With Two Distinct Adjacent Parts
Clinical Anatomy, EarlyView.ABSTRACT The specific anatomical features of the obturator internus, particularly those of its medial surface, remain insufficiently characterized. This study investigated the morphology of the obturator internus muscle by focusing on the shape of its medial surface and potential age‐related changes.
Satoru Muro +4 more
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