In the Monge projection, construct a regular tetrahedral prism with substructure ABCD in the plane q (55.70.45) given the centre S (0.30,?) of the substructure ABCD and the vertex E (25.75.85) of the other substructure

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Answer to a math question In the Monge projection, construct a regular tetrahedral prism with substructure ABCD in the plane q (55.70.45) given the centre S (0.30,?) of the substructure ABCD and the vertex E (25.75.85) of the other substructure

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Madelyn

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Abychom sestrojili pravidelný čtyřboký hranol s podstrukturou ABCD v Mongeově projekci, musíme provést tyto kroky: Začněte kreslením roviny q (55.70.45) v Mongeově promítání. Tato rovina bude obsahovat substrukturu ABCD. Najděte střed S (0,30,?) spodní konstrukce ABCD na rovině. Přesná poloha S bude záviset na chybějící souřadnici. Nakreslete substrukturu ABCD kolem středu S. Protože ABCD je pravidelný čtyřstěn, všechny strany jsou stejně dlouhé a všechny úhly jsou stejné. Najděte vrchol E (25.75.85) druhé podstruktury. Tento vrchol není v rovině q, takže bude nad nebo pod rovinou v závislosti na jeho souřadnicích. Nakreslete druhou podstrukturu kolem vrcholu E. Tato podstruktura je také pravidelný čtyřstěn. Spojte odpovídající vrcholy dvou substruktur a vytvořte hranol.

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