Stepping on the point of the heart -shaped line

Cardioid, also known as the heart line, was named by Castillon in 1741, the name comes from Greek "Kardia".

Its polar coordinate equations are as follows:

nose-id="421861cc737e955e0352224e841323cd"> "1d450" xlink: hre

F = "#MJX-236-TEX-I-1D450" Data-BJH-BOX = "Formula" Data-DIAGNOSE-Id = "2e88487B3B517E37538cc4344CADD131"> Cardica coordinate equation:

iagnose-id="56bff7f628ed7d795f6849f5e9116a08"> data-mml-node="mo" data-bjh-box="formula" data-diagnose-id="30da0886c8f1e72109593d6a31f8ba89"> dove3fb1 "> "xlin

K: href = "#mjx-488-tex-n-32" data-bjh-box = "formula" data-diagnose-id = "a0458926b623118c528692bbab48"> -diagnose-id="27bcbd23fb2bf35547a5b092ee603373"> < /use> -mml-node="mi" data-bjh-box="formula" data-diagnose-id="62416c11589e5d5d3a4d66222884b464">

agnose-id="f90dc69d22d43be1bef2cf0a3fb34648"> The heart-shaped line is also an outer line, which can be obtained by one circle on the outer side of the same radius. The previous trajectory is the heart -shaped line.

Gradually opened on the video of the video: I introduced the tip of the heart line in parallel to myself,

Its parameterization equation is as follows:

nslate(10173.4,0)" data-bjh-box="formula" data-diagnose-id="db58ef3f8436abee47c1160f9ec9017b">

D = "BDFC6B0C3A0F9996B30229e5FA8FC57D">

d="MJX-1009-TEX-N-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z" data-bjh -box="formula" data-diagnose-id="0626e9a335bf2df83f967be75c03fd66"> -box="formula" data-diagnose-id="1e00aea14023196e0fbaf42902de23da"> data-mml-node = "mo" transform = "translate (767.8,0)" data-bjh-box = "formula" data-diagnose-id = "63Aab2cdba2ac4bdda11c3ed8"> = "1d460" xlink: href = "#mjx-1009-tex-I-1D460" data-bjh-box = "formula" data-diagnose-id = "323b5561d7699e2e2e7bb5489b9"> -mml-node = "mi" transform = "translate (2821.6,0)" data-bjh-box = "formula" data-diagnose-id = "7763dfb8c17ab7b80c7792d1efd"> /g> -Node = "mi" transform = "translate (6672,0)" data-bjh-box = "formula" data-diagnose-id = "fdfb4239F78F90318F2C4FDBDA11c"> g data-mml-node="mi" transform="translate(9598.4,0)" data-bjh-box="formula" data-diagnose-id="2bebcad80c49728ed202adb3cc1683c0"> Tex-I -D460 "Data-BJH-BOX =" Formula "Data-DIAGNOSE-Id =" F8772EF48777738F08FEA5E95FEA ">

gnose-id="bc17d74ab3f8418c0157201bc3cf9a20"> g> "mrow" transform = "translate (220,676)" data-bjh-box = "formula" data-diagnose-id = "e8e2F1BF915C6BE2F52E96d38a5e2"> data-diagnose -d = "7dbd443f22eddc6667ABF7685102F218">

It is equal to its own distance in the direction of the law, so it is an equal line, which can also be said to be parallel.

At the bottom of the heart -shaped line, the steps are still a heart -shaped line, except for it.

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