WolframAlphaMath/AreaMethod | Paclet Repository

WolframAlphaMath`AreaMethod`

OnPerpendicular

OnPerpendicular [y,u,v,construction]
	constructs a point y on the line containing u and perpendicular to the line through u and v , such that 4  uvy =  uvu .

OnPerpendicular [y,u,v,r,construction]
	constructs a point y on the line containing u and perpendicular to the line through u and v , such that 4  uvy =r  uvu .

OnPerpendicular [y,u,v,r]
	represents an operator form of OnPerpendicular that can be applied to an expression.

Details and Options



Examples

(4)

Basic Examples

(2)

Construct an arbitrary rectangle:

In[1]:=

rectangle=

OnPerpendicular

d,b,a,r,

OnPerpendicular

c,a,b,-r,

FreePoint

[a,b]

Out[1]=

aECS1,points{},parameters{},order1,bECS1,points{},parameters{},order2,cECS5,points{a,b},parameters{-r},order3,dECS5,points{b,a},parameters{r},order4

Prove that any rectangle can be inscribed in a circle:

In[1]:=