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, 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 illiterate boors conscripted from villages all across the Czarina's empire had, Suvorov may have told Lewis, just two things a commander could count on: physical fitness and personal courage.

These deductions may not be claimed if you elect to use the Standard Deduction or Tax Table.

These publications may be secured as follows: The Annual Catalog from the Director of Admissions and other issues from the Publications Office.

These minimum costs may come to $1 per month, more or less, for residential and small commercial customers, although they are substantially higher for large industrial users, who require more costly connections and metering devices.

These may be consulted in the office of the Architect of the Capitol, or the Library of Congress.

These tubes may differ both in the choice of the electron optical system and in the design of the coupling members.

These cases, for all their rarity, are so dramatic that friends and relations repeat the story until the general population may get an entirely false notion of how often the hymen is a serious problem to newly-weds.

These regional differences of sensitivity to pain may be of crucial significance during the earliest intercourse.

These tractors are not entirely satisfactory for plowing, particularly on heavier soils, so you may still want to hire someone to do the plowing.

These things may be happening many miles away from us but really they are right next door.

These penetrate the jelly envelope after the eggs are laid and may increase the supply of oxygen to the embryo through photosynthesis.

These regions are presented to the attacking animal and their secretions may be foul-tasting or cause various physical or neurological symptoms.

These provinces may take the form of national churches ( such as in Canada, Uganda, or Japan ) or a collection of nations ( such as the West Indies, Central Africa, or Southeast Asia ).

These single-cell fibers of the sciatic nerve may extend a meter or even longer.

These antibiotics may also be prescribed to patients with a documented allergy to penicillin.

These and most other cities and large towns are now connected with asphalt-paved roads, while smaller towns are often connected by dirt roads, which may require a four-wheel-drive vehicle.

These findings may corroborate the evidence for social behaviour in Albertosaurus, although some or all of the above localities may represent temporary or unnatural aggregations.

These principles may flourish and triumph in the schools ; where it is, indeed, difficult, if not impossible, to refute them.

These may have been multiples of the customary acre, rather than the statute acre.

These unconscious reactions may even be partly constitutive of what makes our judgment a judgment that the landscape is sublime.

These weapons may be mounted on a pintle, affixed directly to the vehicle or placed in a turret or cupola.

Bibas argues, " These procedures may be constitutional and efficient, but they undermine key values served by admissions of guilt in open court.

These narratives may be true and may be false ; the veracity of the stories is not a determining factor.