These arguments, and a discussion of the distinctions between absolute and relative time, space, place and motion, appear in a Scholium at the very beginning of Newton's work, The Mathematical Principles of Natural Philosophy ( 1687 ), which established the foundations of classical mechanics and introduced his law of universal gravitation, which yielded the first quantitatively adequate dynamical explanation of planetary motion.

These consisted of a metal pipe placed on a smaller pipe that when struck with the disc made a gong type sound, while these were much more accurate than a tree, arguments and disagreements led to the invention of the Disc Pole Hole by Ed Headrick in 1975.

These formulas can even serve as the definition of the trigonometric functions for complex arguments x.

These arguments are expressed in a variety of different but equivalent ways ( they give the same elliptic integral ).

These arguments lean towards the " nurture " side of the argument-that language is acquired through sensory experience.

These arguments were recorded in tablets several hundreds of years before any major war — the first recording of a war occurred around 3200 BC but was not common until about 2500 BC.

These arguments have differing validity for different types of " property "— things that are not scarce are, for instance, not subject to the tragedy of the commons.

These arguments are hard to prove.

These arguments are probability judgments since they rest on the claim that, even after careful reflection, one can see no good reason for God ’ s permission of evil.

These arguments feature only a posteriori arguments, rather than traditional dogma.

These deists, while maintaining individual positions, still shared several sets of assumptions and arguments that Paine articulated in The Age of Reason.

These disagreements, along with the role of monetary policies in trade liberalization, international investment, and central bank policy, remain lively topics of investigation and arguments.

These arguments posit that the attacker was so enraged by their victim's advances as to cause temporary insanity, leaving them unable to stop themselves or tell right from wrong.

These arguments sometimes overlap but can be distinctively defined.

These arguments may be displayed within the special block.

These arguments, which are presented in written form, and can range in length from dozens to hundreds of pages, are ironically known as " briefs ".

These Platonic and Aristotelian arguments ran counter to those presented earlier by Democritus and later by Lucretius, both of whom were supporters of what is now often called metaphysical naturalism, or accidentalism:

These two embedded clauses are arguments.

These arguments dragged on through 1940 and into 1941.

These authors also accepted that comparisons, metaphors and " images " ( allegories ) could be used as arguments, and sometimes they called them analogies.

These claims often embody historical, cultural, economic or demographic arguments for inclusion or exclusion.

These included such arguments as that the view is void of good news ; repugnant to God's wise, just, and good nature, and to man's free nature ; " highly dishonorable to Jesus Christ "; " hurtful to the salvation of men "; and that it " inverts the order of the gospel of Jesus Christ " ( which is that we are justified after we believe, not prior to our believing ).

These responded to further criticisms, but they also expanded on the original arguments, and developed them in new ways.

These ratios are one of the main arguments in favor of the presence of large amounts of dark matter in the universe ; if dark matter did not exist, we would expect much smaller mass-to-light ratios, on the order of a few.

These were the ones Keith sought out -- the loners, the ones who killed for the joy of it, like himself.

These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.

These desires presuppose a sense of causally efficacious powers in which one is involved, some working for one's good, others threatening ill.

These began to be apparent in a press conference held during the second illness in order that the consulting specialists might clarify the President's condition for the nation.

These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.

These chatty merchants made amusing and instructive traveling companions, for their business took them to all four corners of the globe, and Florentine gossip had already reached a high stage of development as even a cursory glance at the Inferno will prove.

These lines never cease to haunt the book amidst all the exaltations of combat, and to make an appeal for a larger and more elemental human community than one based on the brutal necessities of war.

These new poems have only a few direct references to jazz and jazz musicians, but they show changes in Patchen's approach to his poetry, for he has tried to enter into and understand the emotional attitude of the jazz musician.

These gentlemen already have done the party harm by their seeming reluctance to vote aid for the depressed areas and by their criticism of Mr. Kennedy for talking about a recession and unemployment.

These gentlemen are calling for a resumption of testing -- in the atmosphere -- on the greatest possible scale, all in the name of national security.

These publications, written especially for the managers or owners of small businesses, indirectly aid in community development programs.

These problems frequently arise where a firm is making items for the Government not directly along the lines of its normal civilian business or where the Government specifications require operations that the firm did not understand when it undertook the contract.

These services include procurement and technical assistance and notice of surplus sales and invitations to bid on Government contracts for products and services within the registrants' field of operations.

These were selected carefully and included not only detailed clinical information but adequate pathology of value for research and educational purposes.

These thermometers have now been sent to the United Kingdom for calibration at the National Physical Laboratory.

These amendments to the Vocational Rehabilitation Act were designed to help provide for more specialized rehabilitation facilities, for more sheltered and `` half-way '' workshops, for greater numbers of adequately trained personnel, for more comprehensive services to individuals ( particularly to the homebound and the blind ), and for other administrative improvements to increase the program's overall effectiveness.

These are particularly suitable for regions where water or rock is close to the surface.

These plans, like Du Pont's, contained provisions for passing the vote on Du Pont's General Motors shares on to the ultimate stockholders of Du Pont, Christiana, and Delaware, except that officers and directors of the three companies, their spouses, and other people living in their households, as well as other specified persons, were to be totally disenfranchised.

These expenditures are estimated to be $12.1 billion, an increase of $187 million over 1960, reflecting additional longevity pay of career personnel, more dependents, an increased number of men drawing proficiency pay, and social security tax increases ( effective for the full year in 1961 compared with only 6 months in 1960 ).

These increased costs are partially offset by a decrease of $56 million in expenditures for the reserve forces, largely because of the planned reduction in strength of the Army Reserve components during 1961.