What is C.G
What 2 branches of math are connected with C.G
ALG. & Geometry
Where did the first hint of C.G start
Ancient Egypt
Explain how C.G help navigation
Coordinates help identify
Locations and map routes
C.G places a point on the plane using what?
An ordered pair (x,y)
What was the name of the mathematician who studied curves now associated with conic sections
Menaechmus
Explain how C.G helps engineering & design
Engineers use coordinates to position objects and model shapes
C.G allows us to solve geometric equations using what?
ALGEBRA
Who is Frans van Schooten
Translated Descartes work into Latin and published an expanded edition in 1649
Added explanations that helped other mathematicians understand and use the methods
Must say at least 1 bullet point
Explain how C.G facilities Computer Graphics
Coordinates help position objects in games and digital images
Name on type of math I mentioned in the Presentation that uses C.G
Hint: 3D plane
Calc 3
Who is Rene Descartes
Helped establish analytic geometry
Descartes invented the idea of putting a grid on the plane
His name inspired the Cartesian Coordinate System
Published La Geometrie in 1637
Demonstrated how algebraic methods could be used to study geometric curves
Explain how C.G helps scienec
Equations and graphs model relationships and physical phenomena
What do numbers and equation represent in C.G
Points, lines, & shapes
Who is Pierre De Fermat
He focused on describing curves using equations and studying the locus of points that satisfy those equations
A curve = all the points that satisfy an equation
Geometry problems can be solved using algebra
Helped establish the mathematical foundations of analytical geometry
How has C.G expand upon mathematics
With Analytical Geometry:
Points could be represented by coordinates
Equations could describe lines and curves
Algebra could be used to solve geometric problems
Mathematics could connect geometry to physics, astronomy, and eventually calculus