Maven (famous)@lemmy.zip to Science Memes@mander.xyzEnglish · 1 day agoSquare!lemmy.zipimagemessage-square115fedilinkarrow-up11.13Karrow-down133cross-posted to: [email protected]
arrow-up11.09Karrow-down1imageSquare!lemmy.zipMaven (famous)@lemmy.zip to Science Memes@mander.xyzEnglish · 1 day agomessage-square115fedilinkcross-posted to: [email protected]
minus-squarewholookshere@lemmy.blahaj.zonelinkfedilinkEnglisharrow-up1·edit-210 hours agoOnly true in Cartesian coordinates. A straight line in polar coordinates with the same tangent would be a circle. EDIT: it is still a “straight” line. But then the result of a square on a surface is not the same shape any more.
minus-squareltxrtquq@lemmy.mllinkfedilinkEnglisharrow-up2·8 hours ago A straight line in polar coordinates with the same tangent would be a circle. I’m not sure that’s true. In non-euclidean geometry it might be, but aren’t polar coordinates just an alternative way of expressing cartesian? Looking at a libre textbook, it seems to be showing that a tangent line in polar coordinates is still a straight line, not a circle.
minus-squarewholookshere@lemmy.blahaj.zonelinkfedilinkEnglisharrow-up1·3 minutes agoI’m saying that the tangent of a straight line in Cartesian coordinates, projected into polar, does not have constant tangent. A line with a constant tangent in polar, would look like a circle in Cartesian.
Only true in Cartesian coordinates.
A straight line in polar coordinates with the same tangent would be a circle.
EDIT: it is still a “straight” line. But then the result of a square on a surface is not the same shape any more.
I’m not sure that’s true. In non-euclidean geometry it might be, but aren’t polar coordinates just an alternative way of expressing cartesian?
Looking at a libre textbook, it seems to be showing that a tangent line in polar coordinates is still a straight line, not a circle.
I’m saying that the tangent of a straight line in Cartesian coordinates, projected into polar, does not have constant tangent. A line with a constant tangent in polar, would look like a circle in Cartesian.