State the various types of curves. explain any one in detail.
Answers
Answer:
ᴀ ᴄᴜʀᴠᴇ ɪs ᴀ sʜᴀᴘᴇ ᴏʀ ᴀ ʟɪɴᴇ ᴡʜɪᴄʜ ɪs sᴍᴏᴏᴛʜʟʏ ᴅʀᴀᴡɴ ɪɴ ᴀ ᴘʟᴀɴᴇ ʜᴀᴠɪɴɢ ᴀ ʙᴇɴᴛ ᴏʀ ᴛᴜʀɴs ɪɴ ɪᴛ. ғᴏʀ ᴇxᴀᴍᴘʟᴇ, ᴀ ᴄɪʀᴄʟᴇ ɪs ᴀɴ ᴇxᴀᴍᴘʟᴇ ᴏғ ᴄᴜʀᴠᴇᴅ-sʜᴀᴘᴇ. ɪɴ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs, ɢᴇᴏᴍᴇᴛʀʏ ɪs ᴀ ʙʀᴀɴᴄʜ ᴛʜᴀᴛ ᴅᴇᴀʟs ᴡɪᴛʜ sʜᴀᴘᴇs, sɪᴢᴇs, ᴀɴᴅ ᴛʜᴇ ᴘʀᴏᴘᴇʀᴛɪᴇs ᴏғ ғɪɢᴜʀᴇs. ɢᴇᴏᴍᴇᴛʀʏ ᴄᴀɴ ʙᴇ ᴄʟᴀssɪғɪᴇᴅ ɪɴᴛᴏ ᴛᴡᴏ ᴛʏᴘᴇs. ᴛʜᴇʏ ᴀʀᴇ:
- ᴘʟᴀɴᴇ ᴏʀ ᴛᴡᴏ ᴅɪᴍᴇɴsɪᴏɴᴀʟ ɢᴇᴏᴍᴇᴛʀʏ
- sᴏʟɪᴅ ᴏʀ ᴛʜʀᴇᴇ ᴅɪᴍᴇɴsɪᴏɴᴀʟ ɢᴇᴏᴍᴇᴛʀʏ
》Hope it is helpful to you mate.....
Answer:
A curve is a continuous and smooth flowing without any sharp turns. One way to recognize a curve is that it bends and changes its direction at least once.
Types of curves
1. Upward curve: A curve that turns in the upward direction is called an upward curve. It is also known as a concave upward. Concave Upward also called or “Convex Downward”
upward curve
2. Downward curve: A curve that turns in the downward direction is called a downward curve. It is also known as a concave downward. Concave Downward also called or “Convex Upward”.
downward curve
3. Open curve: An open curve does not enclose any area within itself and it has two endpoints. Some of the open curves are given in the figure below.
open curve
4. Closed curve: A closed curve, has no end points and encloses an area (or a region). It is formed by joining the end points of an open curve together.
Circles , ellipses are formed from closed curves.
closed curve
5. Simple Curve: A simple curve changes direction but does not cross itself while changing direction. A simple curve can be open and closed both.
simple curve
6. Non-simple curves: A curve that crosses its own path is called a non-simple curve.
non-simple curve
Explanation:
hope it works