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 services at which attendance is voluntary are led by the Chaplain, by the President of the College, by selected faculty members, students, and visitors.

These contacts and the common plight subsequently led to a rapprochement between the Western supporters of the Nicene creed and the homoousios and the Eastern semi-Arians.

These " conversations " as he called them, were more or less informal talks on a great range of topics, spiritual, aesthetic and practical, in which he emphasized the ideas of the school of American Transcendentalists led by Emerson, who was always his supporter and discreet admirer.

These soon became so serious that a league was formed to crush him, and Maurice of Saxony led an army against his former comrade.

These actions led to a serious diplomatic conflict between the pope and Portugal.

These experiments also led to a number of patents: for example, he invented a new form of laminated bent-plywood furniture in 1932.

These people may have assisted the Scythians when King Darius the Great led a Persian invasion into what is now Southern Russia to punish the Scythians for their raids into the Achaemenid Empire.

These concerns led to several regional waste trade bans, including the Bamako Convention.

These tests met with “ partial success ” in the gathering of data, and led, therefore, to a significant increase in research dollars in fiscal year 1962 to conduct additional research in these areas.

These extraordinary performances led Muttiah Muralitharan to state that Lara was the most dangerous batsman he had ever faced.

These are during 853 – 841 BC when Jerusalem was invaded by Philistines and Arabs during the reign of Jehoram ( recorded in 2 Kings 8: 20-22 and 2 Chronicles 21: 8-20 in the Christian Old Testament ) and 605 – 586 BC when Jerusalem was attacked by King Nebuchadnezzer of Babylon, which led to the Babylonian exile of Israel ( recorded in Psalm 137 ).

These policy failures, and the stalemate that ensued after the Soviet intervention, led the Soviet leadership to become highly critical of Karmal's leadership.

These methods induced " strategic paralysis " among the defending Ottoman troops and led to their rapid and complete collapse.

These observations led him to suspect that the flea might be an intermediary factor in the transmission of plague, since people acquired plague only if they were in contact with recently dead rats, who had died less than 24 hours before.

These connections shed the boundaries between combinatorics and parts of mathematics and theoretical computer science, but at the same time led to a partial fragmentation of the field.

These factors led to the shift of the store of value being the metal itself: at first silver, then both silver and gold, at one point there was bronze as well.

These factors – combined with a war for players between the two leagues that raised salaries and ate into owners ' profits – ultimately led to the dissolution of the AAFC and the merger of three of its teams, including the Browns, into the NFL in 1949.

These branches led to the borophagine and canine radiations.

These positive evaluations led to the increased use and more thorough implementation of the CRM system.

These deaths led to a period of instability lasting a decade as several families attempted to establish their dominance in Pictland.

These excavations, led by archaeologist Leslie Alcock from 1966 – 70, were titled " Cadbury-Camelot ," and won much media attention, even being mentioned in the film of the musical Camelot.

These problems led to a series of crises in the 1990s, which nearly led to the election of Yeltsin's Communist challenger, Gennady Zyuganov, in the 1996 presidential election.

These reforms led the President to controversially declare Chile's transition to democracy as complete.