Help


[permalink] [id link]
+
Page "Curvature" ¶ 15
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

If and tangents
* If M and M ' are inverse points with respect to a circle k on two curves m and m ', also inverses with respect to k, then the tangents to m and m ' at the points M and M ' are either perpendicular to the straight line MM ' or form with this line an isosceles triangle with base MM '.
In modern times the law of tangents may have better numerical properties than the law of cosines: If is small, and and are almost equal, then an application of the law of cosines leads to a subtraction of almost equal values, which implies a loss of significant digits.
If all three of the original generating circles have the same radius then the Apollonian gasket has three lines of reflective symmetry ; these lines are the mutual tangents of each pair of circles.
If both lines are not diameters, the we may extend the tangents drawn from each pole to produce a quadrilateral with the unit circle inscribed within it.

If and at
If I even hint at it do you think it will matter that you are his nephew -- and not even a blood nephew ''??
If you tell him I made a pass at you he might think you misunderstood something I said or did, so instead of just telling him I made a pass, say I tried to date you and that you agreed so you could prove to him what a louse I really am.
If we look at recent art we find it preoccupied with form.
If the man on the sidewalk is surprised at this question, it has served as an exclamation.
If living Jews were unavailable for study, the Bible was at hand.
If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.
If nothing else, at least two good songs came out of the project, `` Out Of This World '' and `` June Comes Around Every Year ''.
If his scholarship and formal musicianship were not all they might have been, Mercer demonstrated at an early age that he was gifted with a remarkable ear for rhythm and dialect.
If she were not at home, Mama would see to it that a fresh white rose was there.
If the hardships of the winter at Valley Forge were trying for healthy men, they were, of course, much more so for those not in good health.
If it proclaims that the best is yet to be, it always arouses, at least in the young, either a suspicious question or perhaps the exclamation of the Negro youth who saw on a tombstone the inscription, `` I am not dead but sleeping ''.
If a broader Atlantic community is to be formed -- and my own judgment is that it lies within the realm of both our needs and our capacity -- a ready nucleus of machinery is at hand in the NATO alliance.
If you're lyin' out in the hammock at night, and it gets kinda cool -- you know -- you just take these sides with the fringe on -- see -- and wrap 'em right over you.
Mr. Richard Preston, executive director of the New Hampshire State Planning and Development Commission, in his remarks to the Governors Conference on Industrial Development at Providence on October 8, 1960, warned against the fallacy of attempting to attract industry solely to reduce the tax rate or to underwrite municipal services such as schools when he said: `` If this is the fundamental reason for a community's interest or if this is the basic approach, success if any will be difficult to obtain ''.
If he were to go with White, he would be out there two days, not just listening in the dark at some point between here and Papa-san, but moving ever deeper into enemy land -- behind Papa-san -- itself.
If Joe doesn't show up, we'll all be back here at 0600 hours.
If he had any worries, it was only the small ones, about Mother in New York, and his daughter Edwina and what she might be doing at this hour, with her Aunt Asia, in Philadelphia.
`` If William agrees, we should insist on a public debate '', he said at length.
If we sit here reading editorials and looking at public-opinion polls and other reports that cross our desks, we should realize that this is raw, undigested opinion expressed in the absence of leadership.
If our national interest lies in being able to fight and win a war rather than committing national suicide, then we must take a much more penetrating look at ballistic missiles.
If our SAC bombers were, today, capable of surviving a surprise missile attack and because of infinite dispersion or long endurance had the capability to strike at Russia again, and again, and again, those bombers would unquestionably assure our military dominance.
If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.
If the lever is pulled to clear a signal or move a switch, the tappet moves a short distance lengthwise at the same time.
If the background of design is too smooth, or you wish to create a wood-grained effect, it may be added at this time with a dull tool such as the handle of a fine paintbrush.

If and ends
If a player holds onto his stock, he runs the risk that the acquired chain may not reemerge before the game ends.
If the ambient temperature exceeds T < sub > m </ sub >, the homologous pairing of the sticky ends would not be stable because the high temperature disrupts hydrogen bonding.
If he is shot, the bonus round ends.
:" If a period fixed by weeks, months, and years does not commence from the beginning of a week, month, or year, it ends with the ending of the day which proceeds the day of the last week, month, or year which corresponds to that on which it began to commence.
If a decision must be reached in a particular match ( e. g., in a tournament ) and it ends in a draw after regular time, there are at maximum two overtimes of 2 × 5 minutes with a 1-minute break each.
If a hellbender ends up in an area of slowly moving water, not enough water will pass over its skin in a given time period, making it difficult to garner enough oxygen to support necessary respiratory functions.
If these ends could not be immediately achieved, then an international body attached to the League of Nations should enact and enforce legislation to protect workers and trade unions.
If you take a piece of paper in your hands, holding it on both ends, you can pull very hard and not tear the paper.
If an inability to sufficiently adjust to life circumstances begins within three months of a particular event or situation, and ends within six months after the stressor stops or is eliminated, it may instead be classed as an adjustment disorder.
If this pollen is able to fertilise the plant where it ends up and produce viable offspring, then the alleles in the pollen have effectively been able to move from the population on one side of the highway to the other.
The 2006 music video for " If Everyone Cared " by Nickelback ends with her quote: " Never doubt that a small group of committed people can change the world.
If a player ends his stone with a point move he gets a " free turn ".
If the live blind checks, the betting round then ends.
If the football ends the move on or over the opponent's goal line then a goal has been scored.
If the football passes through your goal line, but ends up elsewhere due to further jumps, the game continues.
If the work done moving along a path which starts and ends in the same location is zero, then the force is said to be conservative and it is possible to define a numerical value of potential associated with every point in space.
* If both ends of Player A's tessera are open, then Player B will lose on the next move, unless he can capture a piece from Player A's tessera, or win the game himself on the next move.
If so many voters give their first preferences to the " weak " candidate that it ends up winning the first round, it is highly likely they will gain enough campaign momentum to have a strong chance of winning the runoff, too, and with it, the election.
* If the word ends in a consonant cluster, only the final consonant counts.
If two theories are related by a duality transformation, it means that the first theory can be transformed in some way so that it ends up looking just like the second theory.
If the player cannot reach the needed score — or if the timer runs out — the game ends, and the player receives a final score.
If all lives are lost, the game ends.
If the first day of a Yom Tov ( holy days which includes Rosh Hashanah, Yom Kippur, Sukkot, Passover, and Shavuot ) occurs during shiva, the shiva ends, regardless of the number of days that have already been observed.
If the sequence of serving and receiving is out of turn or the ends is not changed, points scored in the wrong situation are still calculated and the game shall be resumed with the order at the score that has been reached.
If we develop a better system for determining relevant causal relations so that we are able to choose actions that better produce our intended ends, it does not follow that we then must change our ethics.

0.136 seconds.