## ANALYTICAL GEOMETRY

In this page analytical geometry you can find many sub topics in this main topic.

Rene Descartes(1596-2650) whose "La Geometric" was published in 1637 as an appendix to his "Discours de la methods" is regarded as the inventor as analytical geo-metry and modern analytical geometry is called Cartesian Geometry after him.

However the fundamental principles and methods of this topic were already discovered by Pierre de Fermat earlier.

Descartes procedure in geometry was to begin with a geometry problem to convert it into an algebraic equation simplify it and then solve the equation geometric.

However, even the usual formula for distance between two points,slope and angle between two straight lines are not to be found in this work of Decartes.

These are due to later mathematicians like Clairaut, Monge and Larcoin. Newton used several types of co-ordinates including polar and bipolar.L'Hospital had written a famous text book.

On this page you can find the topics ratio formula,slope of the line,the distance between two points,area of triangle,area of quadrilateral,mid point formula, centroid formula, the method of finding the point of intersection, orthocenter.

Each page consists of definition example problems with pictures and detailed solution.These pages will be very useful to the learners.

We have given step by step explanation of each topic. This will improve your learning techniques. These topics are more important for 10th grade students.

People who are going to attend the competitive exams like GED must practice these concepts step by step.If we handle each problem with pictures it will be very easy to understand and we can try the other things on your own.

## Related pages

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WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6