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Definition for word principal.

Principal Prin"ci*pal, a. [F., from L. principalis. See Prince.] 1. Highest in rank, authority, character, importance, or degree; most considerable or important; chief; main; as, the principal officers of a Government; the principal men of a state; the principal productions of a country; the principal arguments in a case. Wisdom is the principal thing. --Prov. iv. 7. 2. Of or pertaining to a prince; princely. [A Latinism] [Obs.] --Spenser. Principal axis. See Axis of a curve, under Axis. Principal axes of a quadric (Geom.), three lines in which the principal planes of the solid intersect two and two, as in an ellipsoid. Principal challenge. (Law) See under Challenge. Principal plane. See Plane of projection (a), under Plane. Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. Principal point (Persp.), the projection of the point of sight upon the plane of projection. Principal ray (Persp.), the line drawn through the point of sight perpendicular to the perspective plane. Principal section (Crystallog.), a plane passing through the optical axis of a crystal.


Explination we found from Wikipedia for principal.

- principal may refer to. education : principal (school), the head of a primary or secondary school. principal (academia), the chief executive of a
- a head teacher or school principal (also known as headteacher headmaster, headmistress or the head, sometimes informally in scots , the
- the principal is the chief executive and the chief academic officer of a university or college in certain parts of the commonwealth .
- the stage role of peter pan , for example, is traditionally played by a woman, as are most principal boy s in british pantomime . opera
- in many countries, the administrative and educational head of the university is known as the president , principal or rector .
- most sections also have an assistant principal (or co-principal or associate principal), or in the case of the first violins, an assistant
- principal component analysis (pca) is a statistical procedure that uses orthogonal transformation to convert a set of observations of
- although most high school s are led by a principal or headmaster, a few (particularly private preparatory school s) refer to their chief
- (the coupon ) and/or to repay the principal at a later date, termed the maturity date interest is usually payable at fixed intervals
- in mathematics , a principal bundle is a mathematical object which formalizes some of the essential features of the cartesian product x × g


We found definition for principal you search from dictionaries , wikipedia mentions for principal.

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Help for word Principal-axes-of-a-quadric.

Principal Prin"ci*pal, a. [F., from L. principalis. See Prince.] 1. Highest in rank, authority, character, importance, or degree; most considerable or important; chief; main; as, the principal officers of a Government; the principal men of a state; the principal productions of a country; the principal arguments in a case. Wisdom is the principal thing. --Prov. iv. 7. 2. Of or pertaining to a prince; princely. [A Latinism] [Obs.] --Spenser. Principal axis. See Axis of a curve, under Axis. Principal axes of a quadric (Geom.), three lines in which the principal planes of the solid intersect two and two, as in an ellipsoid. Principal challenge. (Law) See under Challenge. Principal plane. See Plane of projection (a), under Plane. Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. Principal point (Persp.), the projection of the point of sight upon the plane of projection. Principal ray (Persp.), the line drawn through the point of sight perpendicular to the perspective plane. Principal section (Crystallog.), a plane passing through the optical axis of a crystal.


Wiki for Principal-axes-of-a-quadric.

- in mathematics, a quadric, or quadric surface, is any d-dimensional hypersurface coordinate directions the principal axes of the quadric.
- a spheroid, or ellipsoid of revolution is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other
- orientations, where the axes represent the principal axes of the stress element. include the lame's stress ellipsoid and cauchy's stress quadric .
- work could be used to classify the quadric surface s, and generalized moment of inertia tensor define the principal axes of a rigid body .
- taken in the directions of the principal axes, i.e., used the stress-director surface or stress director quadric represented by the equation:
- cauchy's stress quadric stress trajectories are a system of curves which are at each material point tangent to the principal axes of stress.
- an ellipsoid is a closed quadric surface that is a three-dimensional analogue of points are called the semi-principal axes of length a, b, c.
- quadric surfaces when f 0 in the metric, lines parallel to the x- and y-axes are orthogonal and provide orthogonal coordinates .
- the ellipsoid itself has a principal long axis and then two more the three axes of the ellipsoid are now directly along the main
- in mathematics , a hyperboloid is a quadric – a type of surface in three the principal directions of squares of the semi-axes: 1/a^2, 1/



Help for word Principal-axis.

Principal Prin"ci*pal, a. [F., from L. principalis. See Prince.] 1. Highest in rank, authority, character, importance, or degree; most considerable or important; chief; main; as, the principal officers of a Government; the principal men of a state; the principal productions of a country; the principal arguments in a case. Wisdom is the principal thing. --Prov. iv. 7. 2. Of or pertaining to a prince; princely. [A Latinism] [Obs.] --Spenser. Principal axis. See Axis of a curve, under Axis. Principal axes of a quadric (Geom.), three lines in which the principal planes of the solid intersect two and two, as in an ellipsoid. Principal challenge. (Law) See under Challenge. Principal plane. See Plane of projection (a), under Plane. Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. Principal point (Persp.), the projection of the point of sight upon the plane of projection. Principal ray (Persp.), the line drawn through the point of sight perpendicular to the perspective plane. Principal section (Crystallog.), a plane passing through the optical axis of a crystal., Axis Ax"is, n.; pl. Axes. [L. axis axis, axle. See Axle.] A straight line, real or imaginary, passing through a body, on which it revolves, or may be supposed to revolve; a line passing through a body or system around which the parts are symmetrically arranged. 2. (Math.) A straight line with respect to which the different parts of a magnitude are symmetrically arranged; as, the axis of a cylinder, i. e., the axis of a cone, that is, the straight line joining the vertex and the center of the base; the axis of a circle, any straight line passing through the center. 3. (Bot.) The stem; the central part, or longitudinal support, on which organs or parts are arranged; the central line of any body. --Gray. 4. (Anat.) (a) The second vertebra of the neck, or vertebra dentata. (b) Also used of the body only of the vertebra, which is prolonged anteriorly within the foramen of the first vertebra or atlas, so as to form the odontoid process or peg which serves as a pivot for the atlas and head to turn upon. 5. (Crystallog.) One of several imaginary lines, assumed in describing the position of the planes by which a crystal is bounded. 6. (Fine Arts) The primary or secondary central line of any design. Anticlinal axis (Geol.), a line or ridge from which the strata slope downward on the two opposite sides. Synclinal axis, a line from which the strata slope upward in opposite directions, so as to form a valley. Axis cylinder (Anat.), the neuraxis or essential, central substance of a nerve fiber; -- called also axis band, axial fiber, and cylinder axis. Axis in peritrochio, the wheel and axle, one of the mechanical powers. Axis of a curve (Geom.), a straight line which bisects a system of parallel chords of a curve; called a principal axis, when cutting them at right angles, in which case it divides the curve into two symmetrical portions, as in the parabola, which has one such axis, the ellipse, which has two, or the circle, which has an infinite number. The two axes of the ellipse are the major axis and the minor axis, and the two axes of the hyperbola are the transverse axis and the conjugate axis. Axis of a lens, the straight line passing through its center and perpendicular to its surfaces. Axis of a telescope or microscope, the straight line with which coincide the axes of the several lenses which compose it. Axes of co["o]rdinates in a plane, two straight lines intersecting each other, to which points are referred for the purpose of determining their relative position: they are either rectangular or oblique. Axes of co["o]rdinates in space, the three straight lines in which the co["o]rdinate planes intersect each other. Axis of a balance, that line about which it turns. Axis of oscillation, of a pendulum, a right line passing through the center about which it vibrates, and perpendicular to the plane of vibration. Axis of polarization, the central line around which the prismatic rings or curves are arranged. --Brewster. Axis of revolution (Descriptive Geom.), a straight line about which some line or plane is revolved, so that the several points of the line or plane shall describe circles with their centers in the fixed line, and their planes perpendicular to it, the line describing a surface of revolution, and the plane a solid of revolution. Axis of symmetry (Geom.), any line in a plane figure which divides the figure into two such parts that one part, when folded over along the axis, shall coincide with the other part. Axis of the equator, ecliptic, horizon (or other circle considered with reference to the sphere on which it lies), the diameter of the sphere which is perpendicular to the plane of the circle. --Hutton. Axis of the Ionic capital (Arch.), a line passing perpendicularly through the middle of the eye of the volute. Neutral axis (Mech.), the line of demarcation between the horizontal elastic forces of tension and compression, exerted by the fibers in any cross section of a girder. Optic axis of a crystal, the direction in which a ray of transmitted light suffers no double refraction. All crystals, not of the isometric system, are either uniaxial or biaxial. Optic axis, Visual axis (Opt.), the straight line passing through the center of the pupil, and perpendicular to the surface of the eye. Radical axis of two circles (Geom.), the straight line perpendicular to the line joining their centers and such that the tangents from any point of it to the two circles shall be equal to each other. Spiral axis (Arch.), the axis of a twisted column drawn spirally in order to trace the circumvolutions without. Axis of abscissas and Axis of ordinates. See Abscissa.


Wiki for Principal-axis.

- courses : principal course. b. sc. in textile engineering under yarn manufacturing technology department: axi-flow cleaner. porcupine opener
- axiopa would break down as axi 'black' and opa or upa 'water' in scholars is that daco-moesian forms the principal linguistic substratum of
- the parliament of cantabria is the principal self-government external links : es/inebase/cgi/axi? axis_path/inebase/temas/t20/e260/a2006/l0/&
- axh , aeromexhaga , aeromexhaga , mexico , axi , aeron aerolimousine , russia , pcp , aerolínea principal chile , principal , chile , alt
- series per dva licensing local office: axi 1 to yxi 9998 (apr 1982 – feb 1993);: ay 999 is used for the principal police 4wd vehicle.
- thumb , cutaway showing an axi-centrifugal compressor gas turbine , bernoulli's fluid dynamic principal is of great value in understanding
- cities: the principal cities are: heraklion (iraklion or candia) (130,914 inhabitants episcopal sees : arcadia (axi-kefala) cantanus
- his principal concern was to clarify general relativity's proof that solutions in the stationary axi-symmetric case form an integrable system



Help for word Principal-challenge.

Principal Prin"ci*pal, a. [F., from L. principalis. See Prince.] 1. Highest in rank, authority, character, importance, or degree; most considerable or important; chief; main; as, the principal officers of a Government; the principal men of a state; the principal productions of a country; the principal arguments in a case. Wisdom is the principal thing. --Prov. iv. 7. 2. Of or pertaining to a prince; princely. [A Latinism] [Obs.] --Spenser. Principal axis. See Axis of a curve, under Axis. Principal axes of a quadric (Geom.), three lines in which the principal planes of the solid intersect two and two, as in an ellipsoid. Principal challenge. (Law) See under Challenge. Principal plane. See Plane of projection (a), under Plane. Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. Principal point (Persp.), the projection of the point of sight upon the plane of projection. Principal ray (Persp.), the line drawn through the point of sight perpendicular to the perspective plane. Principal section (Crystallog.), a plane passing through the optical axis of a crystal., Challenge Chal"lenge, n. [OE. chalenge claim, accusation, challenge, OF. chalenge, chalonge, claim, accusation, contest, fr. L. calumnia false accusation, chicanery. See Calumny.] 1. An invitation to engage in a contest or controversy of any kind; a defiance; specifically, a summons to fight a duel; also, the letter or message conveying the summons. A challenge to controversy. --Goldsmith. 2. The act of a sentry in halting any one who appears at his post, and demanding the countersign. 3. A claim or demand. [Obs.] There must be no challenge of superiority. --Collier. 4. (Hunting) The opening and crying of hounds at first finding the scent of their game. 5. (Law) An exception to a juror or to a member of a court martial, coupled with a demand that he should be held incompetent to act; the claim of a party that a certain person or persons shall not sit in trial upon him or his cause. --Blackstone 6. An exception to a person as not legally qualified to vote. The challenge must be made when the ballot is offered. [U. S.] Challenge to the array (Law), an exception to the whole panel. Challenge to the favor, the alleging a special cause, the sufficiency of which is to be left to those whose duty and office it is to decide upon it. Challenge to the polls, an exception taken to any one or more of the individual jurors returned. Peremptory challenge, a privilege sometimes allowed to defendants, of challenging a certain number of jurors (fixed by statute in different States) without assigning any cause. Principal challenge, that which the law allows to be sufficient if found to be true.


Wiki for Principal-challenge.

- the luangwa bridge is the only large bridge and the principal engineering challenge on zambia 's great east road , crossing the lower
- the requirement to deliver increased speed without compromising fighting ability or protection was the principal challenge of fast
- this avoids one of the principal challenges faced by the larger, two-part pumps: maintaining a water-tight seal at the point where the
- droughts, as do grain prices at the market and the cost of purchasing land; balancing these factors is the principal challenge of the game.
- principal investigator! site! supercomputer cpu hours) , 2010 title 2010 alcc factsheets , url http://science. energy. gov/~/media/ansr/pdf/
- the principal challenges are to restore natural water flow regimes, to maintain the quality of water, and to prevent invasion by woody plants.
- farooq sobhan was the principal challenger to commonwealth secretary-general don mckinnon when mckinnon stood for election at the 1999
- the principal challenge in preparing the model statute was to go beyond rhetoric and generalities, spelling out concrete and enforceable
- in the episode, principal skinner challenges superintendent chalmers to take over bart 's education after one of his pranks.
- the principal challenge must have been how to translate the specific gravity of mr. swift's prose, with its multiple narrators and its
-



Help for word Principal-of-a-quadric.

Principal Prin"ci*pal, a. [F., from L. principalis. See Prince.] 1. Highest in rank, authority, character, importance, or degree; most considerable or important; chief; main; as, the principal officers of a Government; the principal men of a state; the principal productions of a country; the principal arguments in a case. Wisdom is the principal thing. --Prov. iv. 7. 2. Of or pertaining to a prince; princely. [A Latinism] [Obs.] --Spenser. Principal axis. See Axis of a curve, under Axis. Principal axes of a quadric (Geom.), three lines in which the principal planes of the solid intersect two and two, as in an ellipsoid. Principal challenge. (Law) See under Challenge. Principal plane. See Plane of projection (a), under Plane. Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. Principal point (Persp.), the projection of the point of sight upon the plane of projection. Principal ray (Persp.), the line drawn through the point of sight perpendicular to the perspective plane. Principal section (Crystallog.), a plane passing through the optical axis of a crystal.


Wiki for Principal-of-a-quadric.

- in mathematics, a quadric, or quadric surface, is any d-dimensional hypersurface coordinate directions the principal axes of the quadric.
- a spheroid, or ellipsoid of revolution is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other
- lagrange realized that the principal axes are the eigenvectors of work could be used to classify the quadric surface s, and generalized it
- orientations, where the axes represent the principal axes of the stress element. include the lame's stress ellipsoid and cauchy's stress quadric .
- in a principal stress space. to find the orientation of any other plane we used the stress-director surface or stress director quadric
- cauchy's stress quadric : the cauchy's stress quadric, also called the or the three principal stresses (\sigma_1, \sigma_2, \sigma_3)\,\!,
- quadric surfaces other extrinsic numerical invariants of a surface is the mean curvature k m defined as the sum of the principal curvatures.
- 1 coincidence no 1 , a coincidence quadric is a quadric associated to analytical principals of the theory of curves , url http://archive.
- an ellipsoid is a closed quadric surface that is a three-dimensional analogue of points are called the semi-principal axes of length a, b, c.
- equal to the reciprocals of the principal curvature s at the point of cyclide, which is a natural extension of the notion of a quadric surface .



Help for word Principal-or-Solar.

Focus Fo"cus, n.; pl. E. Focuses, L. Foci. [L. focus hearth, fireplace; perh. akin to E. bake. Cf. Curfew, Fuel, Fusil the firearm.] 1. (Opt.) A point in which the rays of light meet, after being reflected or refrcted, and at which the image is formed; as, the focus of a lens or mirror. 2. (Geom.) A point so related to a conic section and certain straight line called the directrix that the ratio of the distace between any point of the curve and the focus to the distance of the same point from the directrix is constant. Note: Thus, in the ellipse FGHKLM, A is the focus and CD the directrix, when the ratios FA:FE, GA:GD, MA:MC, etc., are all equal. So in the hyperbola, A is the focus and CD the directrix when the ratio HA:HK is constant for all points of the curve; and in the parabola, A is the focus and CD the directrix when the ratio BA:BC is constant. In the ellipse this ratio is less than unity, in the parabola equal to unity, and in the hyperbola greater than unity. The ellipse and hyperbola have each two foci, and two corresponding directrixes, and the parabola has one focus and one directrix. In the ellipse the sum of the two lines from any point of the curve to the two foci is constant; that is: AG+GB=AH+HB; and in the hyperbola the difference of the corresponding lines is constant. The diameter which passes through the foci of the ellipse is the major axis. The diameter which being produced passes through the foci of the hyperbola is the transverse axis. The middle point of the major or the transverse axis is the center of the curve. Certain other curves, as the lemniscate and the Cartesian ovals, have points called foci, possessing properties similar to those of the foci of conic sections. In an ellipse, rays of light coming from one focus, and reflected from the curve, proceed in lines directed toward the other; in an hyperbola, in lines directed from the other; in a parabola, rays from the focus, after reflection at the curve, proceed in lines parallel to the axis. Thus rays from A in the ellipse are reflected to B; rays from A in the hyperbola are reflected toward L and M away from B. 3. A central point; a point of concentration. Aplanatic focus. (Opt.) See under Aplanatic. Conjugate focus (Opt.), the focus for rays which have a sensible divergence, as from a near object; -- so called because the positions of the object and its image are interchangeable. Focus tube (Phys.), a vacuum tube for R[oe]ntgen rays in which the cathode rays are focused upon the anticathode, for intensifying the effect. Principal, or Solar, focus (Opt.), the focus for parallel rays.


Wiki for Principal-or-Solar.

- one of the four principal houses of the kshatriya varna , or warrior–ruling caste. the solar dynasty (suryavanshi) claims descent from
- in addition, pwm is one of the two principal algorithms used in photovoltaic solar battery chargers the other being mppt . the average
- number of instruments aboard the solar and heliospheric observatory satellite (soho). the first principal investigator was dr. guenter
- solar variation is the change in the amount of radiation emitted by the sun (see the principal one referred to as the solar cycle has an
- a solar deity (also sun god/dess) is a sky deity who represents the sun , or an the Ādityas are one of the principal deities of the vedic
- shallow water overtides of principal solar , s 4 , 6 , 60 , 4 , 4 , -4 , 491.555 , 0.1 , 9 , shallow water quarter diurnal , mn 4 ,
- highly-focused american scientific space missions that are exploring the solar system. a scientist called the principal investigator (pi).
- solar cycles have an average duration of about 11 years. one of the principal authorities that determine the date of the solar minimum is
- many of its original goals in exploring solar wind , interplanetary plasma, and solar x-rays principal investigator james van allen used
- the solar system comprises the sun and its planetary system of eight planet s as the principal component of the solar system is the sun,



Help for word Principal-plane.

Principal Prin"ci*pal, a. [F., from L. principalis. See Prince.] 1. Highest in rank, authority, character, importance, or degree; most considerable or important; chief; main; as, the principal officers of a Government; the principal men of a state; the principal productions of a country; the principal arguments in a case. Wisdom is the principal thing. --Prov. iv. 7. 2. Of or pertaining to a prince; princely. [A Latinism] [Obs.] --Spenser. Principal axis. See Axis of a curve, under Axis. Principal axes of a quadric (Geom.), three lines in which the principal planes of the solid intersect two and two, as in an ellipsoid. Principal challenge. (Law) See under Challenge. Principal plane. See Plane of projection (a), under Plane. Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. Principal point (Persp.), the projection of the point of sight upon the plane of projection. Principal ray (Persp.), the line drawn through the point of sight perpendicular to the perspective plane. Principal section (Crystallog.), a plane passing through the optical axis of a crystal.


Wiki for Principal-plane.

- the two principal planes have the property that a ray emerging from the lens appears to have crossed the rear principal plane at the same
- represent the state of stress on individual planes at all their orientations, where the axes represent the principal axes of the stress element.
- principal stresses and stress invariants-at every point in a stressed body there are at least three planes, called principal planes, with
- a principal focus or focal point is a special focus: the distance in air from the lens or mirror's principal plane to the focus is called
- of breast cancer microarray data: a) configuration of nodes and 2d principal mapped adequately on a 2d principal plane; b) the
- principal component analysis (pca) is a statistical procedure that uses orthogonal mapped adequately on a 2d principal plane; b) the
- a rainscreen drainage plane is a separation between the veneer and the weather cladding also serves as the principal drainage plane and
- in continuum mechanics , a material is said to be under plane stress if the stress the direction of the principal planes, thus the stresses
- air barrier materialbuilding material that is designed and constructed to provide the principal plane of airtightness through the
- this formula is exact for the second definition, if h is measured from a thin lens, or from the front principal plane of a complex lens; it