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Page "Euclidean geometry" ¶ 87
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Some Related Sentences

For and example
For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??
For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;
For example, No. 56 printed the patent giving the Electoral Prince the title of Duke of Cambridge.
For example, he captured some persons from York County, who with teams were taking to Philadelphia the furniture of a man who had just been released from prison through the efforts of his wife, and who apparently was helpless to prevent the theft of his household goods.
For example, even the most successful executive lives in a two-room apartment while ordinary people rent space in the stairwells of office buildings in which to sleep at night ; ;
For example, in the third chapter of Matthew, verses 13-16, describing the baptism of Jesus, the 1611 version reads:
For example: 1.
For example, it probably will be necessary for the Corps to have authority to pay medical expenses of volunteers.
For example, the importance of the Regulus 2, a very promising aerodynamic ship-to-surface missile designed to be launched by surfaced submarines, was greatly diminished by the successful acceleration of the much more advanced Polaris ballistic missile launched by submerged submarines.
For example, the interest of past members of the Foundation's Advisory Board remains such that they place their knowledge and judgments at our disposal much as they had done when they were, formally, members of that Board.
For example, out of the social evils of the English industrial revolution came the novels of Charles Dickens ; ;
For example, a 12-to-one engine would power a supersonic VTOL fighter.
For example: Af.
For example: Af.
For example, for the problem Af, 10 from 25 equals 15, then 6 from 15 equals 9.
For example: Af.
For example, let's consider a standard 283 cubic inch Chevy Aj.
For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.
For example, a Browning trap version of the Superposed over/under, the Broadway ( from $350 up, depending on grade ), differs from standard models in that it is equipped with a full beavertail fore end, a cushion recoil pad and a barrel-wide ventilated rib for fast sighting.
For example, the Chamber of Commerce of Gatlinburg, Tennessee, sponsors special camera tours into the Great Smoky Mountains to get pictures of the profusion of wild flowers flourishing in these wooded regions.
For example, the Friday after Thanksgiving can be substituted for Washington's birthday.
For example, the officials of Poughkeepsie town ( township ) where the project is located think highly of it because it simplifies their snow clearing problem.
For example, don't pay in a truck policy for medical coverage that you may be paying for in a health and accident policy.
For example: If your bodily injury claims start payment after the first $250, a 25% premium saving is often made.

For and Euclid
For Euclid ’ s method to succeed, the starting lengths must satisfy two requirements: ( i ) the lengths must not be 0, AND ( ii ) the subtraction must be “ proper ”, a test must guarantee that the smaller of the two numbers is subtracted from the larger ( alternately, the two can be equal so their subtraction yields 0 ).
For two centuries Euclid had been taught from two Latin translations taken from an Arabic source ; these contained errors in Book V, the Eudoxian theory of proportion, which rendered it unusable.
For example, Euclid provides an elaborate proof of the Pythagorean theorem, by using addition of areas instead of the much simpler proof from similar triangles, which relies on ratios of line segments.
For over 2, 000 years, Euclid ’ s Elements stood as a perfectly solid foundation for mathematics, as its methodology of rational exploration guided mathematicians, philosophers, and scientists well into the 19th century.
For example, in the first construction of Book 1, Euclid used a premise that was neither postulated nor proved: that two circles with centers at the distance of their radius will intersect in two points.
For example, math is taught through reading and discussing Euclid and Galileo, rather than actually completing numerical problem sets.
For Aristotle and Euclid, relations were conceived as whole numbers ( Michell, 1993 ).

For and assumed
'' For present purposes it may be assumed that this charge so narrowly limited speech as to violate the federal Constitution.
For almost one-sixth of the national population discrimination in the free selection of residence casts a considerable shadow upon these values assumed as self-evident by most Americans.
For example for any ( even infinite ) collection of pairs of shoes, one can pick out the left shoe from each pair to obtain an appropriate selection, but for an infinite collection of pairs of socks ( assumed to have no distinguishing features ), such a selection can be obtained only by invoking the axiom of choice.
For example, if the numbers involved in a computation may be arbitrarily large, the time required by a single addition can no longer be assumed to be constant.
For calculations of OBP before 1954, or where sacrifice flies are not explicitly listed, the number of sacrifice flies should be assumed to be zero.
For the mathematical formulation of the model, is also assumed to be twice continuously differentiable, so that differential equations describing the motion may be formulated.
For the study of the mechanical behavior of solids and fluids these are assumed to be continuous bodies, which means that the matter fills the entire region of space it occupies, despite the fact that matter is made of atoms, has voids, and is discrete.
For example, for a long period it was assumed that Imperial China had no system of civil law because the law codes did not have explicit provisions for civil lawsuits.
For measurements at experimentally controlled pressure, it is assumed that the volume of the body of calorimetric material can be expressed as a function of its temperature and pressure.
For measurements at experimentally controlled temperature, it is again assumed that the volume of the body of calorimetric material can be expressed as a function of its temperature and pressure, with the same provisos as mentioned just above.
For example, Dalton assumed that water's formula was HO, giving the atomic weight of oxygen as eight times that of hydrogen, instead of the modern value of about 16.
For elliptic-curve-based protocols, it is assumed that finding the discrete logarithm of a random elliptic curve element with respect to a publicly known base point is infeasible.
For certain purposes it assumed that all real Americans live in towns like this, and so great is the power of myth, even the born city-dweller is likely to believe vaguely that he too lives on this shady street, or comes from it, or is going to .”
For most of the book, it is assumed that the perpetrator is mentally deranged and that this is a sufficient motive.
For instance, electors were granted a monopoly over all mines of gold, silver, and other metals within their territories, to tax Jews, to collect tolls, and to mint money ; these powers belonged to the Emperor in the other territories, and princes who wrongly assumed them could be deprived of their status.
Similarly, in regard to passages from the Enneads, " The only space or place of the world is the soul " and " Time must not be assumed to exist outside the soul ", Ludwig Noiré wrote: " For the first time in Western philosophy we find idealism proper in Plotinus, However, Plotinus does not address whether we know external objects, unlike Schopenhauer and other modern philosophers.
For many of the satellites, it is assumed that the rotation rate is equal to the mean orbital period.
For end-users the use of MPLS is not visible directly, but can be assumed when doing a traceroute: only nodes that do full ip routing are shown as hops in the path, thus not the MPLS nodes used in between, therefore when you see that a packet hops between two very distant nodes and hardly any other ' hop ' is seen in that providers network ( or AS ) it is very likely that that network uses MPLS.
For any specific combination of height above the center of gravity and mass of the planet, there is one specific firing velocity ( unaffected by the mass of the ball, which is assumed to be very small relative to the Earth's mass ) that produces a circular orbit, as shown in ( C ).
For example, if one assumes that data arise from a univariate Gaussian distribution, then one has assumed a Gaussian model:.
For example, if a spectator at an ice hockey match is injured when a player strikes the puck in the ordinary course of play, causing it to fly out of the rink and hit him or her, this is a foreseeable event and spectators are assumed to accept that risk of injury when buying a ticket.
For native peoples like the Māori in New Zealand, there is conflict between the fluid identity assumed as part of modern society and the traditional identity with the obligations that accompany it ; the loss of language heightens the feeling of isolation and damages the ability to perpetuate tradition.
For many years it was assumed that Vesalius's pilgrimage was due to pressures of the Inquisition.
For instance, a series of basalt flows are assumed to be related to one another.

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