레이블이 geometry인 게시물을 표시합니다. 모든 게시물 표시
레이블이 geometry인 게시물을 표시합니다. 모든 게시물 표시

2016년 3월 21일 월요일

Radian

Graph of Trigonometric Function : Sine, Cosine and Tangent




Before you see this post,

see

Trigonometric Function : Sine, Cosine and Tangent









Trigonometric Function : Sine, Cosine and Tangent




               In Right-angled triangle, they are defined like the picture below.


sine -> sin
cosine -> cos
tangent -> tan






In Cartesian coordinate system, 
we can notate trigonometric functions, sine, cosine and tangent, 
like the picture above.







Sum of Angles of An n-polygon




Before you see this post,

see

Sum of Angles of Quadrangle, Pentagon, Hexagon






Let's make an n-polygon.

To make a figure that is an angle more than a former one.
put a triangle to a former one.


we can make an n-polygon by process like the picture above.



Sum of Angles of Quadrangle, Pentagon, Hexagon




Before you see this post,

see



5 Postulates of Euclidean Geometry



1. "To draw a straight line from any point to any point."






2. To produce [extend] a finite straight line continuously in a straight line."







3. "To describe a circle with any centre and distance [radius]."








4. "That all right angles are equal to one another."

( right angle = 90˚ )










5. The parallel postulate
"That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, 
if produced indefinitely, meet on that side on which are the angles less than the two right angles."





If you want to know more about Euclidean Geometry,

click

or search Euclidean Geometry on SEARCH TAP.



2016년 3월 17일 목요일

Various Proofs of Pythagorean Theorem


There are various proofs of Pythagorean Theorem.

I will show you 3 proofs.

There would be more proofs.



Do you want to see more proofs,

click

Pythagorean theorem


and reply more proofs.