Maven (famous)@lemmy.zip to Science Memes@mander.xyzEnglish · 16 hours agoSquare!lemmy.zipimagemessage-square111fedilinkarrow-up1998arrow-down132
arrow-up1966arrow-down1imageSquare!lemmy.zipMaven (famous)@lemmy.zip to Science Memes@mander.xyzEnglish · 16 hours agomessage-square111fedilink
minus-squareKnock_Knock_Lemmy_In@lemmy.worldlinkfedilinkEnglisharrow-up2·7 hours agoDefine straight in a precise, mathematical way.
minus-squareltxrtquq@lemmy.mllinkfedilinkEnglisharrow-up6·6 hours agoThe tangent of all points along the line equal that line
minus-squarewholookshere@lemmy.blahaj.zonelinkfedilinkEnglisharrow-up1·edit-22 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-up1·12 minutes 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.
Define straight in a precise, mathematical way.
The tangent of all points along the line equal that line
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.