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Maths - RoderickT
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Advanced Mathematics - Tranter
Logarithms
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Partial Fractions
Polynomials - Remainder Theorem
Polynomials - Undetermined Coeff.
Quadratic Equations
Series
Series - 2 And ChatGPT
Algebra and Numbers
Adding Natural Numbers
Sum Of Squares And Cubes
Prime Numbers
Square root of prime
Inequality of Means
Binomial Theorem
Completing The Square
Square Root of Two
Sq Root 2 Calculation
Quadratic Equations
Quadratic Equation Example
Important Limit
Circle Basics
Circles and 16 side polygon
Circles with over 16 side polygon
Circle Area
Squaring the Circle
Worn Tyres and Circumnavigating the World
Add, subtract, multiply, divide negative numbers
Quantities in proportion are also in proportion by composition
Matrixes
Penney's Ante
Natural Euler e
Golden Ratio
Circles
Tangent to Circle
Orthogonal Circles
Ellipse
Calculus
Derivation plus product and quotient
Calculus 2
Spheres
Spheres Alternative.
Calculus Approximations
Differential of sinx, cosx tanx
Differrential of Natural e
Integration
Complex Numbers
Complex Roots of 1
Dynamics
Euclid
00. Definitions
01. Prop. 1
Compass and/or divider
Euclid and Straight Edge
Straight Line
Exercises
Trapezoid midpoints of diagonals
Random Probability
Geometry
Angles in triangle = 2 rt. angles and External angle = sum of opp. angles (Euclid I.32)
Area of Triangle
Chord of circle creates angle at centre twice as big as at circumference
Circle 3 points
Circle through equilateral triangle
Construct a right angle to a line
Construct Equilateral Triangle
Diameter of circle subtends 1 rt. angle
External Angle Greater (Euclid 1-16)
Isosceles triangle have equal angles
Line joining mid-points of triangle is parallel to other side.
Parallels Equal Intersect Transverses
Parallel lines cut by transversal interior alternate angles are equal
Parallel lines cut by transversal corresponding angles are equal
Parallelograms diagonals bisect
Parallelogram diagonal creates equal triangles
Parallelograms on same base between parallels are equal
Perpendicular bisector of line is equidistant from ends
Pythagoras - Right Angle Triangle
Pythagoras alternative
Rhombus diagonals create right angles
Right Angle Triangle with Hyp. and 1 side equal
Shortest distance between point and line
Similar Triangles
Solid Geometry
Square diagonals create 4 equal triangles
Sum of 2 lines drawn from a point to the extremities of a straight line
Tangents
Triangle 9 points on circle
Triangle - Greater Side. opp greater angle (Euclid 1-18)
Triangle - Sum of Angles equal 2 rt angles
Triangle altitudes meet at a single point
Triangle angle bisectors meet at a single point.
Triangle internal and two external angle bisectors meet at point
Triangle Line Parallel to One Side Divides Other Sides in Proportion
Triangle medians cut other median 2/3
Triangle perpendicular bisectors meet
Triangle Right Angle to Hypotenuse Median
Triangle Sum of Sides Compared to Point To Vertices
Triangle with two angles and inlcuded side equal are identical
Triangles all sides equal
Triangles on the same base are equal
Triangles with 2 sides and inc. angle equal
Logic problems
Counting In Threes
Find the false coin
Trigonometry
Trigonometry - Basics
Radians
Trig Sum of Two Angles
Cosine of sum of 2 angles
Cosine of sum of 2 angles obtuse
Sine of addition 2 angles
Sine of addition of 2 angles part 2
Tan of sum of two angles
Trig Factor Formulae
Trig Function a-b
Law of Cosines
Very small angles
Copy of Law of Cosines
Maths - RoderickT
Polynomials - Undetermined Coeff.
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