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m_goldberg
m_goldberg
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I tried the code below (I sort of translated it from written notation), where I hoped that [Intersection] would give me the intersection of line ac with the altitude from b:

scene1 = 
  GeometricScene[{a, b, c, d}, 
    {Triangle[{a, b, c}], 
    d \[Element]∈ {Line[{a, c}] \[Intersection]⋂ 
       TriangleConstruct[{a, b, c}, "Altitude"]}, 
      TriangleConstruct[{a, c, b}, "Altitude"]}];
RandomInstance[scene1, 3]

It did not work. How do I then define the intersection of two lines as a point?

I tried the code below (I sort of translated it from written notation), where I hoped that [Intersection] would give me the intersection of line ac with the altitude from b:

scene1 = GeometricScene[{a, b, c, d}, {Triangle[{a, b, c}], 
    d \[Element] {Line[{a, c}] \[Intersection] 
       TriangleConstruct[{a, b, c}, "Altitude"]}, 
    TriangleConstruct[{a, c, b}, "Altitude"]}];
RandomInstance[scene1, 3]

It did not work. How do I then define the intersection of two lines as a point?

I tried the code below (I sort of translated it from written notation), where I hoped that [Intersection] would give me the intersection of line ac with the altitude from b:

scene1 = 
  GeometricScene[{a, b, c, d}, 
    {Triangle[{a, b, c}], 
    d ∈ {Line[{a, c}] ⋂ 
      TriangleConstruct[{a, b, c}, "Altitude"]}, 
      TriangleConstruct[{a, c, b}, "Altitude"]}];
RandomInstance[scene1, 3]

It did not work. How do I then define the intersection of two lines as a point?

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Cheng
Cheng
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How to define the intersection of two lines as a point

I tried the code below (I sort of translated it from written notation), where I hoped that [Intersection] would give me the intersection of line ac with the altitude from b:

scene1 = GeometricScene[{a, b, c, d}, {Triangle[{a, b, c}], 
    d \[Element] {Line[{a, c}] \[Intersection] 
       TriangleConstruct[{a, b, c}, "Altitude"]}, 
    TriangleConstruct[{a, c, b}, "Altitude"]}];
RandomInstance[scene1, 3]

It did not work. How do I then define the intersection of two lines as a point?