Mathematics come from Ianguage of yunani, is in general affirmed as research of structure pattern, room and change. in the eyes of formalis, mathematics is inspection affirming abstraction structure use symbolic logic and mathematics notation, in other view drawn in mathematics philosophy.
Before modern epoch and knowledge spread over global, example of written from development of new mathematics have reached the him of only some places. Ancient mathematics article which have been found
1. Plimpton ( Mathematics of Babilonia the Year numericalness 1900 SM).
2. Sheet Mathematics of Moskow ( numerical Mathematics Egypt [of] year 1850 SM).
3. Sheet Mathematics of Rhind ( numerical Mathematics Egypt [of] Year 650 SM).
4. Sulba Sutra ( numerical Mathematics India [of] year 800 SM).
All pertinent articles give all mind to to theorem of Pythagoras, what seen to be as result development of most biggest and ancient mathematics after elementary aritmetika and geometry.
content:
Pythagoras:
About/Around] 4000 year ago nation of Babilonia have used geometry as bases of[is calculation astronomis, whereas nation of mesir have recognized Tripel Pythagoras and use him to make elbow angle;corner - elbow. first theorem concerning a right triangle in circle proved by Thales
(625-547 SM) and theorem concerning third side of a right triangle proved by Pythagoras
(580-496 SM). And because verification, Theorem which he find to be called Theorem of Pythagoras.
The theorem express that hypotenuse square from a right triangle is equal to squares amount of foot/feet - foot/feet of or side- elbow side- elbow.
INVENTION OF NUMBER of IRRASIONAL
This Statement can be proved by assuming, on the contrary that √2 is rational number so that can be expressed as comparison of circular number of a / b in simplest fraction. But if a / b = √2,
so, a2=2b2. This means a2 is even number, because square of anomalous number not possible to even, so, a is even number, because a / b is simplest fraction, b surely anomalous ( even fraction cause/ ad for still can be made moderate).
But because a is even number ( assume 2r mean a2 = ar2 is fold number 4 and b2 is fold number 2 ( even). This matter [of] berartio also b is even number and this is contradiction to conclusion before all that b surely anomalous. Because assumption early that √2 is rational result happened contradiction. The assumption surely wrong and his him ( that √2 is irrasional) is correct statement.
Other source express √2 is number of rrasional first which introduced by nation of yunani. they say that diagonal length from a right triangle with length two sides which is elbow angular shape - elbow of everyone not possible rational ( irrasional). Of theorem of pythagoras got that hypotenusa length (hipotenusa) of triangle is √2.
Euklides:
Live about/around century to 4 SM he is mathematics of alexandria. in the book of entitling "element", he is conceived of " geometry father". He tells number theory and geometry. menururtnya one top-drawer matter to be noted that in verification of theorem - geometry theorem do not be needed by the existence of example of - follow the example of from real world but enough with logical deduksi use axiom which have been formulated.
conclusion :
1. Mathematics born [at] ancient Egypt epoch.
2. Inventor of Pythagoras is not Pythagoras, but Matematikawan India ( in Sulbasutra Baudhayana and of Katyayana), Greek, Tionghoa and of Babilonia far before Pythagoras born.
3. √2 is number of irrasional because if expressed as circular comparison of a / b in simplest fraction.
Referensi:
www.personal.fmipa.itb.ac.id
www.indonesianrevivalist.com
www.id.wikipedia.org
Buku strategi pengembangan Pembelajaran Matematika karya Budi Murtiyasa.
Before modern epoch and knowledge spread over global, example of written from development of new mathematics have reached the him of only some places. Ancient mathematics article which have been found
1. Plimpton ( Mathematics of Babilonia the Year numericalness 1900 SM).
2. Sheet Mathematics of Moskow ( numerical Mathematics Egypt [of] year 1850 SM).
3. Sheet Mathematics of Rhind ( numerical Mathematics Egypt [of] Year 650 SM).
4. Sulba Sutra ( numerical Mathematics India [of] year 800 SM).
All pertinent articles give all mind to to theorem of Pythagoras, what seen to be as result development of most biggest and ancient mathematics after elementary aritmetika and geometry.
content:
Pythagoras:
About/Around] 4000 year ago nation of Babilonia have used geometry as bases of[is calculation astronomis, whereas nation of mesir have recognized Tripel Pythagoras and use him to make elbow angle;corner - elbow. first theorem concerning a right triangle in circle proved by Thales
(625-547 SM) and theorem concerning third side of a right triangle proved by Pythagoras
(580-496 SM). And because verification, Theorem which he find to be called Theorem of Pythagoras.
The theorem express that hypotenuse square from a right triangle is equal to squares amount of foot/feet - foot/feet of or side- elbow side- elbow.
INVENTION OF NUMBER of IRRASIONAL
This Statement can be proved by assuming, on the contrary that √2 is rational number so that can be expressed as comparison of circular number of a / b in simplest fraction. But if a / b = √2,
so, a2=2b2. This means a2 is even number, because square of anomalous number not possible to even, so, a is even number, because a / b is simplest fraction, b surely anomalous ( even fraction cause/ ad for still can be made moderate).
But because a is even number ( assume 2r mean a2 = ar2 is fold number 4 and b2 is fold number 2 ( even). This matter [of] berartio also b is even number and this is contradiction to conclusion before all that b surely anomalous. Because assumption early that √2 is rational result happened contradiction. The assumption surely wrong and his him ( that √2 is irrasional) is correct statement.
Other source express √2 is number of rrasional first which introduced by nation of yunani. they say that diagonal length from a right triangle with length two sides which is elbow angular shape - elbow of everyone not possible rational ( irrasional). Of theorem of pythagoras got that hypotenusa length (hipotenusa) of triangle is √2.
Euklides:
Live about/around century to 4 SM he is mathematics of alexandria. in the book of entitling "element", he is conceived of " geometry father". He tells number theory and geometry. menururtnya one top-drawer matter to be noted that in verification of theorem - geometry theorem do not be needed by the existence of example of - follow the example of from real world but enough with logical deduksi use axiom which have been formulated.
conclusion :
1. Mathematics born [at] ancient Egypt epoch.
2. Inventor of Pythagoras is not Pythagoras, but Matematikawan India ( in Sulbasutra Baudhayana and of Katyayana), Greek, Tionghoa and of Babilonia far before Pythagoras born.
3. √2 is number of irrasional because if expressed as circular comparison of a / b in simplest fraction.
Referensi:
www.personal.fmipa.itb.ac.id
www.indonesianrevivalist.com
www.id.wikipedia.org
Buku strategi pengembangan Pembelajaran Matematika karya Budi Murtiyasa.
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