Information about Analytical geometry

HISTORY Introduced in the 1630s Aided the development of calculus RENE DESCARTES (1596-1650) and PIERRE DE FERMAT (1601-1665), French mathematicians, independently developed the foundations for analytical geometry

CARTESIAN PLANE

• x-axis (horizontal axis) where the x values are plotted along. • y-axis (vertical axis) where the y values are plotted along. • origin, symbolized by 0, marks the value of 0 of both axes • coordinates are given in the form (x,y) and is used to represent different points on the plane.

Slope of a Line

Slope of a Line

Slope of a Line

Slope of a Line

Slope of a Line

Inclination of a Line y y L L θ O M x θ O M x

Angle between Two Lines

Angle between Two Lines • If θ is angle, measured counter-clockwise, between two lines, then • where m2 is the slope of the terminal side and m1 is the slope of the initial side

SLOPE OF PARALLEL LINES

SLOPE OF PERPENDICULAR LINES

Sample Problems

EQUATION OF A CIRCLE

EQUATION OF CIRCLE (origin is not the center) A (h, k) B ( x, y)

Graph the following circle.

REFERENCES - Demirdag, M. (2013). Analytic geometry [PowerPoint Presentation]. Available at: http://www.slideshare.net/mstfdemirdag/analytic-geometry-8693115. Accessed on: 4 March 2014 - Felipe, N, M. (2013). Analytic geometry basic concepts [PowerPoint Presentation]. Available at: http://www.slideshare.net/NancyFelipe1/analytic-geometry-basic-concepts.Accessed on: 4 March 2014 - Marasigan, D. (2013). Lecture #2 analytic geometry [PowerPoint Presentation]. Available at: http://www.slideshare.net/denmarmarasigan/lecture-2-analytic-geometry.Accessed on: 4 March 2014 - Marasigan, D. (2013). Lecture #3 analytic geometry [PowerPoint Presentation]. Available at: http://www.slideshare.net/denmarmarasigan/lecture-3-analytic-geometry.Accessed on: 4 March 2014 - Marasigan, D. (2013). Lecture #5 analytic geometry [PowerPoint Presentation]. Available at: http://www.slideshare.net/denmarmarasigan/lecture-5-analytic-geometry. Accessed on: 4 March 2014

Analytic geometry was independently invented by René Descartes and Pierre de Fermat ... the Introduction also laid the groundwork for analytical geometry.

Read more

In analytic geometry, also known as coordinate geometry, we think about geometric objects on the coordinate plane. For example, we can see that opposite ...

Read more

What Is Analytic Geometry? Analytic Geometry is a branch of algebra that is used to model geometric objects - points, (straight) lines, and circles being ...

Read more

Analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems ...

Read more

eBook Shop: Analytical Geometry als Download. Jetzt eBook sicher bei Weltbild runterladen & bequem mit Ihrem Tablet oder eBook Reader lesen.

Read more

Analytical Geometry with POV-Ray - 3D Visualiations, Calculations and Output of the Results with the Raytracer POV-RAY with samples in photo realistic ...

Read more

Analytical geometry or analytic geometry is also known as Cartesian geometry or coordinate geometry. It is a branch of mathematics which is a link between ...

Read more

D. Chatterjee - Analytical Geometry jetzt kaufen. ISBN: 9788173191312, Fremdsprachige Bücher - Geometrie & Topologie

Read more

First Known Use of analytic geometry. 1835. Learn More about analytic geometry. Britannica.com: Encyclopedia article about analytic geometry. Seen and Heard.

Read more

Analytic Geometry. The study of the geometry of figures by algebraic representation and manipulation of equations describing their positions ...

Read more

## Add a comment