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| | == Contributions to Mathematics == | | == Contributions to Mathematics == |
| | * [[Jadhav Theorem]] | | * [[Jadhav Theorem]] |
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| − | If any three consecutive numbers are taken say a,b and c with a constant common difference, then the difference between the square of the 2nd term (b) and the product of the first and the third term (ac) will always be the square of the common difference (d).
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| − | Representation of statement in variable :
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| − | <math>b^2 - ac = d^2</math>
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| | * [[Jadhav Isosceles Formula]] | | * [[Jadhav Isosceles Formula]] |
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| − | In any isosceles triangle let the length of equal sides be "s" and the angle formed between both the sides be . then the area of the complete triangle can be found by Jadhav Isosceles Formula as below:
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| − | <math>[{sin (\theta/2)}{cos( \theta /2)}{s^2}]</math>
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| | * [[Jadhav Division Axiom]] | | * [[Jadhav Division Axiom]] |
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| − | In an incomplete division process if the dividend is '''lesser then''' Divisor into product of 10 raise to a '''power "k"''', and '''bigger then''' divisor into product of 10 with '''power "k-1"''' then there will be k number of terms before decimal point in an divisional process.
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| − | <math>d \times 10^k-1 < n < d \times 10^k</math>
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| | * [[Jadhav Triads]] | | * [[Jadhav Triads]] |
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| − | Jadhav Triads are '''groups of any 3 consecutive numbers''' which follow a pattern , was '''discovered by Jyotiraditya Jadhav''' and was named after him.
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| − | <math>\surd ac \approx b </math>
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| | * [[Jadhav Angular Formula]] | | * [[Jadhav Angular Formula]] |
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| − | Jadhav Angular Formula evaluates the angle between any two sides of any triangle given length of all the sides.
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| − | <math>\measuredangle = \cos^-1 [{a^2+b^2-c^2}(2ab)^-1] </math>
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| | * [[Jadhav Prime Quadratic Theorem]] | | * [[Jadhav Prime Quadratic Theorem]] |
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| − | It states that if a [[quadratic equation]] <math>ax^2+bx+c</math> is divided by <math>x</math> then it gives the answer as an [[integer]] if and only if <math>x</math> is equal to a [[factor]] of <math>c</math> .
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| − | Let the set of all [[factor]]s of <math>c</math> be <math>d[c]</math>.
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| − | <cmath>\frac{ax^2+bx+c}{x} \in Z \iff x \in d[c]</cmath> where <cmath>a,b,c \in Z</cmath>
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| − | [[category:Mathematicians]]
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