#Circle Geometry

40 messages · Page 1 of 1 (latest)

gloomy verge
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Deduce that R,S T are collinear

dense craterBOT
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clear gorge
gloomy verge
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what do you mean

clear gorge
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hmm, exactly how do you rigorously price co-linearity?

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think about the conditions required

gloomy verge
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I was thinking proving that dst plus angle rsd makes a stragith line idk if it works

swift adder
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this is the simson line

swift adder
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hint: you have more than one cyclic quadrilateral

gloomy verge
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CDST?

swift adder
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i briefly thought you were talking about a timezone

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yes, CDST is cyclic

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DST and DCT will be supplementary

gloomy verge
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yes

swift adder
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and there is another cyclic quadrilateral

gloomy verge
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can we prove dct equals rad

swift adder
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why?

gloomy verge
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cuz rad equals dsr

swift adder
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oh

gloomy verge
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which would be supplementary to dst

swift adder
gloomy verge
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I got it

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racd is a cyclic

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nvm

swift adder
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i meant that <RAD and <BAD share a line

gloomy verge
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yeah it can't be cyclix

gloomy verge
swift adder
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so you’re left with BAD and DCB

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which are supplementary

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putting it all together:
<DST = 180 - <DCT = 180 - <DCB = <BAD = 180 - <RAD = 180 - <RSD

gloomy verge
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annoying to scroll up and down

gloomy verge
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yeah that makes sens

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e

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thanks

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+close