MHB What Makes Mexico City's History So Fascinating?

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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.
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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.
 
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I am unable to follow after this
 
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.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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