- #1
DaalChawal
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MHB What Makes Mexico City's History So Fascinating?
- Thread starter DaalChawal
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Mexico City's history is intriguing due to its rich cultural heritage and the intersection of various civilizations, including the Aztecs and Spanish colonizers. The city's evolution reflects significant historical events, such as the conquest and colonial period, which shaped its identity. Additionally, the unique blend of ancient and modern architecture showcases its diverse past. The ongoing discussions about the city's historical significance highlight the importance of understanding its complex narrative. Overall, Mexico City's history captivates due to its multifaceted influences and enduring legacy.
- #2
Prove It
Gold Member
MHB
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It might be worth evaluating each line in their vector forms, and then seeing if you can find where they intersect.
- #3
DaalChawal
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I am unable to follow after this
- #4
mrtwhs
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Although $\dfrac{x}{1} = \dfrac{y}{2} = \dfrac{z}{3}$ is a line, $3\beta^2x+3(1-2\alpha)y+z=3$ is not. It is a plane.
For the sake of argument, lets assume this is, in fact, a right triangle with a rectangle inscribed in it.
Here is what looks like a very elegant solution:
Triangles A and B are similar
a/4=2/b
ab=8
But what is happening in that second line? Is there a property of similar triangles I'm forgetting?
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