(n.) That branch of geometry which treats of the cone and the curves which arise from its sections.
(n.) Conic sections.
Example Sentences:
(1) Anterior lenticonus is a rare condition, in which there is a conical or spherical protrusion of the anterior surface into the anterior chamber.
(2) Conical root shapes without special provision of retention are not suitable.
(3) However, in conical cells the new oral apparatus and fission line form well posterior to the cell equator, so the opisthes are invariably smaller than proters.
(4) Their use is indicated in large or total defects to restore the natural anatomical conical shape of the eardrum, particularly in congenital atresia.
(5) That of the small conical filiform papillae is to take food efficiently into the oral cavity.
(6) Following enlargement of sporozoite buds the apical ends of the buds became conical in longitudinal sections with the newly formed apical rings at their truncated apices and then, newly formed dense inner membranes and subpellicular microtubules gradually extended backwards and finally enclosed the sporozoites.
(7) 1) In polishing the axial surface of the inner crown of the conic telescope crown system, the milling machine with a polishing disk facilitated specular finishing without causing undercutting in the region from the occlusal surface to the dental cervix.
(8) The study of the effect of dimensions and local organization of net tissue on its electrical properties can be reduced to the problem of investigating electrical properties of conic fibre at different laws of its expansion.
(9) The conical shape of the occlusion device is well suited for the anatomic structure of the ductus.
(10) Considering both the present data and previous findings, Palaeognath birds appear to be a peculiar and monophyletic group, characterized by: 1), a conical acrosome surrounding the nucleus; 2), a fibrous sheath around most of the axoneme; and 3), an elongated distal centriole occupying the entire midpiece.
(11) Scanning electron micrographs showed them to be smooth-surfaced conical to tubular extensions arising from putative photoreceptor inner segments.
(12) The sperm consists of a conical head and 100 flagella.
(13) Subsequent analysis of a mathematically describable conical geometry demonstrates the need for improved compensator design.
(14) Many of the lanceolate receptors contained multiple unmyelinated axons, and the usually highly ordered circular innervation of the inner conical body was markedly abnormal.
(15) For osteotomy conic cutters were used (diameter of base 2.1 mm and 5 mm) and a drill (3000 rotations per minute) from the small instrumentarium of SYNTHES Co.
(16) The concept of stimulation threshold is generalized to three dimensions, and an excitability surface is constructed, which for cardiac muscle is approximately conical in shape.
(17) The results showed that the resisting areas are larger in pyramidal than in conical preparations.
(18) The hooks (105 by 24 nm) each displayed a conical protrusion at the proximal end, a concave cavity at the distal end, and helically arranged subunits.
(19) In practice, the pins are introduced in the same way as the previously described procedure, by they must protrude beyond the opposite wall by 6-8 mm; the difference is in the screwing of the "ARUM" nut: first it is screwed as the reduction stress is increased so its conical part penetrates between the fracture edges; then the pin is cut; and the nut is unscrewed so the cut end of the pin will be included in the space of its base.
(20) Eight conical holes drilled in the side of the chamber serve for the insertion of plugs with attachments for perfusion, rapid injection of small amounts of reagents, temperature measurements or for heating the interior of the chamber.
Hyperbola
Definition:
(n.) A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.
Example Sentences:
(1) After covalent inactivation of a variable proportion of the receptors with I-PTA-PON3, the occupancy-response relationship for platelet aggregation resulted in a similar hyperbola indicating an excess of low-affinity receptors coupled to aggregation (spare receptors).
(2) When phenylalanine was present, a pronounced deviation from the Michaelis-Menten hyperbola occurred.
(3) Flow-insensitive ranges of tcpO2-vs-flow hyperbolas were reduced by both leg lowering and moving the electrode towards proximal measuring sites.
(4) This logistic relationship is more general than the rectangular hyperbola or linear methods, provides excellent goodness of fit, and can be used as a "global" method for the entire calibration curve, rather than as a "local" method for small segments of the curve.
(5) Hill's rectangular hyperbola fitted the force-velocity data if the load during shortening was less than 70% of Fo.
(6) One parameter of the hyperbola is equivalent to the asymptotic response rate and the other parameter is equivalent to the rate of reinforcement that maintains a one-half asymptotic response rate.
(7) Analysis of these inhibition curves as double hyperbolae revealed two binding sites in the presence of DTT and only one low affinity site in the absence of DTT.
(8) The maximum velocity of shortening (Vm), determined by extrapolation from a hyperbola that is fitted to force-velocity data at finite loads, is substantially lower than V0.
(9) In contrast to hog kidney D-amino acid oxidase, the v vs s plots of D-amino acid oxidase in homogenized rat kidney did not have the form of a rectangular hyperbola, and showed an apparent negative cooperativity.
(10) The ligand self-association alone can cause deviation of the profile of the binding curve (r vs Lft plot) from a hyperbola, resulting in a nonlinear Scatchard plot.
(11) Binding was found to be saturable at higher membrane concentrations when using a fixed amount of ligand and showed a hyperbola analogous to enzyme-substrate binding.
(12) Then, we compared G to the conventional slope of the CO2-ventilation response line (S) and that of the metabolic hyperbola (SL).
(13) The difference in estimates of V0 and Vm is a function of: (i) the degree of heterogeneity of the muscle with respect to Vmax(i) and the curvature of the force-velocity relationship of the individual fibres, and (ii) the force range used to establish the hyperbola from which Vm is derived.
(14) The relationship between the slope of the plot and the substrate concentration shows characteristic features depending on the inhibition type: for partial competitive inhibition, the straight line converging on the abscissa at--Ks, the dissociation constant of the enzyme-substrate complex; for non-competitive inhibition, a constant slope independent of the substrate concentration; for uncompetitive inhibition, a hyperbola decreasing with the increase in the substrate concentration; for mixed-type inhibition, a hyperbola increasing with the increase in the substrate concentration.
(15) The data were in reasonable agreement with the theoretical hyperbola.
(16) It was established that there was a relationship between the half-life and the initial titre of antibody of each specificity which could be described by a rectangular hyperbola.
(17) A robust modified hyperbola was found to be superior for determining molecular weights and base-pair numbers for a set of known standards when compared with the conventional log transformation and a similar hyperbolic model.
(18) At low concentrations (42-1260 microM), the relationship between linoleic acid concentration and its absorption rate fitted best to a rectangular hyperbola.
(19) Likewise, the relationship could be described by a hyperbola with a linear relationship between intrapulmonary pressure and the inverse of breath duration.
(20) On the other hand, when mannosylphosphoryldolichol synthase activity was measured in the presence of amphomycin and as a function of dolichylmonophosphate (Dol-P) concentrations, the shape of the substrate velocity curve changed from a rectangular hyperbola to a sigmoid.