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Geometry{{cite web |title=geometry |url=https://en.wikipedia.org/wiki/Geometry |website=wikipedia |publisher=wikipedia |access-date=2020-11-23 |ref=2nd}} sets out form certain conceptions such as "plane,{{cite web |title=plane |url=https://en.wikipedia.org/wiki/Plane |website=wikipedia |publisher=wikipedia |access-date=2020-11-23}}" "point,"{{cite web |title=point |url=https://www.merriam-webster.com/dictionary/point |website=merrium webster |publisher=merrium webster |access-date=2020-11-25 |ref=4th}} and "straight line,"

with which we are able to associate more or less definite ideas, and from certain simple

propositions{{cite web |title=Propositions |url=https://en.wikipedia.org/wiki/Propositions_(album) |website=wikipedia |publisher=wikipedia |access-date=2020-11-26}} (axioms) which, in virtue{{cite web |title=virtue |url=https://www.vocabulary.com/dictionary/virtue |website=vocabulary |publisher=vocabulary |access-date=2020-11-25 |ref=4th}} of these ideas, we are inclined to accept as "true."

Then, on the basis of a logical process, the justification{{cite web |title=Justification |url=https://www.dictionary.com/browse/justification |website=Dictionary.com |publisher=Dictionary |access-date=2020-11-26}} of which we feel ourselves

compelled to admit, all remaining propositions are shown to follow from those axioms, i.e.

they are proven. A proposition is then correct ("true") when it has been derived in the

recognised manner from the axioms. The question of "truth" of the individual geometrical

propositions is thus reduced to one of the "truth" of the axioms. Now it has long been

known that the last question is not only unanswerable by the methods of geometry, but that

it is in itself entirely without meaning. We cannot ask whether it is true that only one

It is not difficult to understand why, in spite of this, we feel constrained to call the

propositions of geometry "true." Geometrical ideas correspond to more or less exact objects

in nature], and these last are undoubtedly the exclusive cause of the genesis of those ideas.

Geometry ought to refrain from such a course, in order to give to its structure the largest

possible logical unity. The practice, for example, of seeing in a "distance" two marked

positions on a practically rigid body{{cite web |title=rigid body |url=https://www.britannica.com/science/mechanics/Rigid-bodies |website=Brittanica |publisher=brittanica |access-date=2020-11-26}} is something which is lodged deeply in our habit of

thought. We are accustomed further to regard three points as being situated on a straight

line, if their apparent positions can be made to coincide{{cite web |title=Coincide |url=https://www.lexico.com/definition/coincide |website=lixico.com |publisher=lexico |access-date=2020-11-26}} for observation with one eye, under

suitable choice of our place of observation.

If, in pursuance of our habit of thought, we now supplement the propositions of

Euclidean geometry by the single proposition that two points on a practically rigid body

always correspond to the same distance (line-interval), independently of any changes in

position to which we may subject the body, the propositions of Euclidean geometry{{cite web |title=Euclidean Geometry |url=https://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/non_Euclid_Euclid/index.html |website=www.pitt.edu |publisher=University of Pittsburg |access-date=6 December 2020}} then

resolve themselves into propositions on the possible relative position of practically rigid

bodies.1) Geometry which has been supplemented in this way is then to be treated as a

branch of physics]. We can now legitimately ask as to the "truth" of geometrical propositions

interpreted in this way, since we are justified in asking whether these propositions are

satisfied for those real things we have associated with the geometrical ideas. In less exact

terms we can express this by saying that by the "truth" of a geometrical proposition in this

sense we understand its validity for a construction with rule and compasses.Part I: The Special Theory of Relativity

Albert Einstein{{cite journal |title=Eienstein |journal=.einstein.yu.edu/publications |url=https://www.einstein.yu.edu/publications/einstein-journal-biology{{cite web |title=What is Biology |url=https://www.livescience.com/44549-what-is-biology.html |website=Livescience |publisher=Livescience |access-date=2020-11-26 |ref=8th}}-medicine/default.aspx?id=3380 |access-date=2020-11-25}} 7

straight line goes through two points. We can only say that Euclidean{{cite web |title=Euclidean |url=https://en.wikipedia.org/wiki/Euclidean |website=wikipedia |publisher=wikipedia |access-date=2020-11-26}} geometry deals with

things called "straight lines{{cite web |title=Straight lines |url=https://www.youtube.com/watch?v=47P3bzefCVI |website=YouTube |publisher=YouTube |access-date=2020-11-26}}," to each of which is ascribed the property of being uniquely

determined by two points situated on it. The concept "true" does not tally with the

assertions of pure geometry, because by the word "true" we are eventually in the habit of

designating always the correspondence with a "real" object; geometry{{cite journal |title=Journal of Geometry {{!}} Volume 112, issue 1 |journal=SpringerLink |volume=112 |issue=April 2021 |page=1 |url=https://link.springer.com/journal/22/volumes-and-issues/112-1 |access-date=6 December 2020 |language=en}}, however, is not

concerned with the relation of the ideas involved in it to objects of experience], but only with

the logical connection of these ideas among themselves.

be bold while editing wikipedia{{cite web |title=Wikipedia:Be_bold |url=https://en.wikipedia.org/wiki/Wikipedia:Be_bold |website=wikipedia |publisher=wikipedia |accessdate=22 November 2020}}. This is how wikipedia has 6 million pages in english.{{cite web |last1=Singh |first1=Manish |title=Wikipedia now has more than 6 million articles in English |url=https://techcrunch.com/2020/01/23/wikipedia-english-six-million-articles/ |website=TechCrunch |publisher=TechCrunch.com |accessdate=22 November 2020 |ref=14th |date=14th january}}

References

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