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By inclining the axes of the two spheres with respect to each other, and rotating them in opposite directions but with equal periods, Eudoxus could make a point on the inner sphere trace out a figure-eight shape, or hippopede.
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By and axes
By convention, is ten times the ellipticity of the galaxy, rounded to the nearest integer, where the ellipticity is defined as for an ellipse with semi-major and semi-minor axes of lengths and respectively.
By placing the axes at right angles, four quadrants form with each describing a behavioral pattern:
By proposing travel along these extra axes, which are not normally perceptible, the traveler can reach worlds that are otherwise unreachable and invisible.
By contrast, a covariant vector has components that change oppositely to the coordinates or, equivalently, transform like the reference axes.
By studying the systematic absence of diffraction spots the Bravais lattice and any screw axes and glide planes present in the crystal structure may be determined.
By using the scale on each of the two axes, it was possible to measure the amount of personal liberty and economic liberty a person, political organization, or political philosophy advocates, and then plot that on the graph.
By adding an additional out-of-plane device three axes can be measured.
By combining the two axes, any given character has one of 9 possible alignments:
By additionally checking along the cross products of these axes ( I < sub > 0 </ sub >× I < sub > 1 </ sub >, I < sub > 0 </ sub >× J < sub > 1 </ sub >, ...) one can be more certain that intersection is impossible.
: By representing the quadrature and in-phase components as the vertical and horizontal axes, the error vector magnitude can be computed as the distance between the ideal and measured constellation points on the diagram.
By convention, B < sub > 0 </ sub > is interpreted as a vector quantity pointing the z-direction, with subsequent x and y cartesian axes oriented with the right hand rule.
By the transitivity of equality, all three tangents are equal a = b = c at the intersection point r of those two radical axes.
After getting two pick axes in the wall he falls onto cardboard and before the end of the episode Vvvyan says to the audience " By the way it was a complete lie about the oil " in which means they didn't really have oil the whole time.
By and two
By this standard, it is determined that where two stations operating on the same frequency are involved, objectionable interference from station A exists at any point within the service area of station B where station A's signal is of an intensity one-twentieth or more of the strength of station B's signal at that point.
Reports Jim Lendrum: `` By studying men on the job, we found that two men -- a carpenter and a helper -- can lay a floor faster than three.
By scrutinizing the flowers, one can also notice that the scale bears one or two tiny warts.
By virtue of the legal responsibilities of the Department of Employment in the farm placement program, we necessarily found ourselves in the middle between these two forces.
By this procedure rinsing progresses in two stages, first by dilution until the time when the drains are separated and thereafter by displacement of the soil-bearing liquor by clean rinse water, since soiled liquor squeezed from the specimens at the nip passes directly to waste from the suds box drains.
By the time his son Abraham was born, Thomas owned two farms, several town lots, livestock, and horses.
By the tenth century two other forms can be distinguished namely Canaanite and Aramaic.
: " By the step leading up into the sleeping-car stood a young Belgian lieutenant, resplendent in uniform, conversing with a small man ( Hercule Poirot ) muffled up to the ears of whom nothing was visible but a pink-tipped nose and the two points of an upward-curled moustache.
By the late 5th century BC, philosophers might separate Aphrodite into two separate goddesses, not individuated in cult: Aphrodite Ourania, born from the sea foam after Cronus castrated Uranus, and Aphrodite Pandemos, the common Aphrodite " of all the folk ," born from Zeus and Dione.
By the summer of 1823, Alcott returned to Connecticut in debt to his father, who bailed him out after his last two unsuccessful sales trips.
By the time of Mesalim, whichever dynasty controlled the city of Kish was recognised as šar kiššati (= king of Kish ), and was considered preeminent in Sumer, possibly because this was where the two rivers approached, and whoever controlled Kish ultimately controlled the irrigation systems of the other cities downstream.
By 1073 there were only two Englishmen in episcopal sees, and by the time of William's death in 1089, there was only one, Wulfstan II of Worcester.
By Charlotte, he had two children.
By 300 BC, a punctuation symbol ( two slanted wedges ) was co-opted as a placeholder in the same Babylonian system.
By the time mission control issued the wake-up call to the crew for flight day two, the spacecraft was approximately away from the Earth, traveling at about.
By using the palette to mask the top area of the display and taking care about when it changes mode it can shift the continuous graphics at the bottom of the display down in two pixel increments because the internal display counter is not incremented on blank scanlines during non-continuous graphics modes.
By 1686 he had definitely established the " Italian overture " form ( second edition of Dal male il bene ), and had abandoned the ground bass and the binary form air in two stanzas in favour of the ternary form or da capo type of air.
By Endeïs Aeacus had two sons, Telamon and Peleus ( father of Achilles ), and by Psamathe a son, Phocus, whom he preferred to the two others, both of whom contrived to kill Phocus during a contest, and then fled from their native island.
By the late 19th century, two problems were identified before heavier-than-air flight could be realized.
By offering to isolate her in Senex's house, he is able to give Philia and Hero some time alone together, and the two fall in love.
By definition a multilinear map is alternating if it vanishes whenever two of its arguments are equal.
By symmetry, any algebra which satisfies any two of:
By 1993, all of the fixed-wing aircraft of the original EHV ( with the exception of the two old Nord 262 transports ) had been taken out of service, and either scrapped, sold off, or abandoned.
By finding how similar two protein sequences are, we acquire knowledge about their structure and therefore their function.
By and spheres
By considering circumscribed spheres, the notion of Delaunay triangulation extends to three and higher dimensions.
By ordering the solids correctly — octahedron, icosahedron, dodecahedron, tetrahedron, cube — Kepler found that the spheres could be placed at intervals corresponding ( within the accuracy limits of available astronomical observations ) to the relative sizes of each planet ’ s path, assuming the planets circle the Sun.
By reference to the continual to-and-fro motion associated with that, the term was then applied in transportation and then in other spheres.
* By shape, gains advantage usually by using spheres or rollers, or by forming flexure bearings.
By taking Y to be some sphere that X embeds in, this reduces the index theorem to the case of spheres.
By convention, n corresponds to the number of nodes of the radial eigenfunction, l indicates the total number of nodal lines on spheres, and m tells how many of these nodal lines cross the equator.
By the 14th century Dante was describing his own imaginary journey through the astral spheres of Paradise.
By 1895 Germany was competing with France for Russia's favour, and British statesmen hoped to negotiate with the Russians to demarcate spheres of influence in Asia.
By relying on fundamental principles, Bernardin also sought to coordinate work on several different spheres of Catholic moral theology.
By the Treaty of Tordesillas, the two powers divided the world between them into exclusive spheres of influence, trade and colonization.
By the way, we've only just begun to search for things like Dyson spheres, so we can't really rule them out.
By knitting together " ordinary " sources to produce a meaningful, extraordinary socio-cultural narrative, Ulrich shows how a skilled practitioner functioned within the interstices of the private and public spheres.
By pressing the B button, the spheres switch position to shoot forward, sideways or backward, while the Silver Surfer continues to fire forward.
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