Maven (famous) to Science [email protected]English • 23 hours agoSquare!lemmy.zipimagemessage-square108fedilinkarrow-up11.08Karrow-down134cross-posted to: [email protected]
arrow-up11.05Karrow-down1imageSquare!lemmy.zipMaven (famous) to Science [email protected]English • 23 hours agomessage-square108fedilinkcross-posted to: [email protected]
minus-square@[email protected]linkfedilinkEnglish7•13 hours agoThe tangent of all points along the line equal that line
minus-square@[email protected]linkfedilinkEnglish1•edit-29 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-square@[email protected]linkfedilinkEnglish2•7 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.
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.