WolframAlphaMath/AreaMethod | Paclet Repository

WolframAlphaMath`AreaMethod`

IsIntersection

IsIntersection [y,u,v,p,q,construction]
	declares y to be the intersection of the line through u and v and the line through p and q in construction .

IsIntersection [y,u,v,p,q]
	represents an operator form of IsIntersection that can be applied to an expression.

Details and Options



Examples

(2)

Basic Examples

(1)

Construct the intersection of two lines:

In[1]:=

IsIntersection

p,a,b,c,d,

FreePoint

[a,b,c,d]

Out[1]=

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

Prove Ceva's Theorem:

In[2]:=

cevasConstruction=

IsIntersection

f,c,p,a,b,

IsIntersection

e,b,p,a,c,

IsIntersection

d,a,p,b,c,

FreePoint

[a,b,c,p]

Out[2]=

aECS1,points{},parameters{},order1,bECS1,points{},parameters{},order2,cECS1,points{},parameters{},order3,pECS1,points{},parameters{},order4,dECS2,points{a,p,b,c},parameters{},order5,eECS2,points{b,p,a,c},parameters{},order6,fECS2,points{c,p,a,b},parameters{},order7

In[3]:=