Title: Theory / Unimportant / Math / Geometry/ / Stillwell

Name: A \(n\)-gon
Definition: A polygon with \(n\) sides
Page: 5
Chapter: 1
Section: 3

Question: How to construct an equilateral triangle \(ABC\) with ruler and compass
Page: 4
Chapter: 1
Section: 2
Variables: \(A,B\) in a plane

Question: How to construct a regular hexagon with center the middle of \([AB]\) and distance \([AB]\) between opposite side
Answer: Create six equilatera triangle, then create their bisectors
Page: 4
Chapter: 1
Section: 2
Variables: \(A,B\) in a plane

Question: How to bisect \([AB]\)
Answer: Create the two equitriangular triangles \(ABC\) and \(ABD\). \(BD\) is the bisector
Page: 6
Chapter: 1
Section: 3
Variables: \(A,B\) in a plane

Question: How to create the perpendicular of \(L\) at \(E\)
Answer: Find two equidistant points \(A,B\) of \(E\) on \(L\). Draw the bisector of \([AB]\)
Page: 6
Chapter: 1
Section: 3
Variables: \(L\) a line
\(E\in L\) a point

Question: How to create the perpendicular of \(L\) at \(E\)
Answer: Find two equidistant points \(A,B\) of \(E\) on \(L\). Draw the bisector of \([AB]\)
Page: 6
Chapter: 1
Section: 3
Variables: \(L\) a line
\(E\not\in L\) a point

Question: How to bisect the angle \(\angle POQ\)
Answer: Find two points \(A\) and \(B\) ond \(OP\) and \(OQ\). Draw the bisector of \(AB\)
Page: 6
Chapter: 1
Section: 3
Variables: \(POQ\) a triangle

Question: How to draw the parallel to \(L\) passing by \(E\)
Answer: draw a perpendicular \(L^\bot\) to \(L\).
Draw the perpendicular to \(L^\bot\) passing by \(E\)
Page: 8
Chapter: 1
Section: 3
Variables: \(L\) a line
\(E\not\in L\)

Question: How to divide \([AB]\) into \(n\) parts of same length
Answer: Draw a line \(L\) passing by \(A\). Draw on it \(A_1, \dots, A_n\) with the same arbitrary distance between two paths
Draw \(A_nB\)
Draw the parallel of \(A_nB\) passing by each \(A_i\) and find their intersection \(I_i\) with \([AB]\). The \(I_i\) divides \([AB]\) in \(n\) parts
Page: 8
Chapter: 1
Section: 3
Variables: \(A,B\) in the plane
\(n\in\mathbb N^{>0}\)

Question: how to get a segment of length \(ab\)
Page: 10
Chapter: 1
Section: 4
Variables: \(a,b\) length represented as segment

Question: how to get a segment of length \(\frac ba\)
Page: 11
Chapter: 1
Section: 4
Variables: \(a,b\) length represented as segment