Where does euclid geometry not work?
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Models of non-Euclidean geometry
On a sphere, the sum of the angles of a triangle is not equal to 180°. The surface of a sphere is not a Euclidean space, but locally the laws of the Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is very nearly 180°.
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ᴏɴ ᴀ ꜱᴩʜᴇʀᴇ, ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ᴛʜᴇ ᴀɴɢʟᴇꜱ ᴏꜰ ᴀ ᴛʀɪᴀɴɢʟᴇ ɪꜱ ɴᴏᴛ ᴇqᴜᴀʟ ᴛᴏ 180°. ᴛʜᴇ ꜱᴜʀꜰᴀᴄᴇ ᴏꜰ ᴀ ꜱᴩʜᴇʀᴇ ɪꜱ ɴᴏᴛ ᴀ ᴇᴜᴄʟɪᴅᴇᴀɴ ꜱᴩᴀᴄᴇ, ʙᴜᴛ ʟᴏᴄᴀʟʟy ᴛʜᴇ ʟᴀᴡꜱ ᴏꜰ ᴛʜᴇ ᴇᴜᴄʟɪᴅᴇᴀɴ ɢᴇᴏᴍᴇᴛʀy ᴀʀᴇ ɢᴏᴏᴅ ᴀᴩᴩʀᴏxɪᴍᴀᴛɪᴏɴꜱ. ɪɴ ᴀ ꜱᴍᴀʟʟ ᴛʀɪᴀɴɢʟᴇ ᴏɴ ᴛʜᴇ ꜰᴀᴄᴇ ᴏꜰ ᴛʜᴇ ᴇᴀʀᴛʜ, ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ᴛʜᴇ ᴀɴɢʟᴇꜱ ɪꜱ ᴠᴇʀy ɴᴇᴀʀʟy 180°.
ʜᴇʀᴇ ᴅᴏᴇꜱ euclid geometry not work .
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