등각나선은 로그나선, 성장나선이라고도 합니다.극좌표 방정식은 입니다. 이 때 는 상수이고, 는 자연대수, 은 원점으로부터의 거리, 는 축과 이루는 각입니다. 다음은 의 그래프를 GSP로 그린 것입니다.또한 매개변수로는 입니다.
<P>등각나선은 로그나선, 성장나선이라고도 합니다.<BR>극좌표 방정식은 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=60 align=absMiddle height=26><PARAM NAME="_cx" VALUE="1587"><PARAM NAME="_cy" VALUE="687"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/13.7`5.6/12,[1]{r`equal`a{e}^{b`theta}}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT> 입니다. 이 때 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=34 align=absMiddle height=18><PARAM NAME="_cx" VALUE="899"><PARAM NAME="_cy" VALUE="476"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/7.8`4.3/12,[1]{a, b}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>는 상수이고, <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=11 align=absMiddle height=18><PARAM NAME="_cx" VALUE="291"><PARAM NAME="_cy" VALUE="476"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/2.8`4.3/12,[1]{e}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>는 자연대수, <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=10 align=absMiddle height=18><PARAM NAME="_cx" VALUE="264"><PARAM NAME="_cy" VALUE="476"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/2.3`4.3/12,[1]{r}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>은 원점으로부터의 거리, <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=12 align=absMiddle height=18><PARAM NAME="_cx" VALUE="317"><PARAM NAME="_cy" VALUE="476"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/3`4.3/12,[1]{theta}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>는 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=12 align=absMiddle height=18><PARAM NAME="_cx" VALUE="317"><PARAM NAME="_cy" VALUE="476"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/2.8`4.3/12,[1]{x}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>축과 이루는 각입니다. 다음은 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=62 align=absMiddle height=51><PARAM NAME="_cx" VALUE="1640"><PARAM NAME="_cy" VALUE="1349"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/14.2`8.5/12,[1]{r`equal`{e}^{{pi}/{18}`theta}}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>의 그래프를 GSP로 그린 것입니다.<BR><img onLoad='miniSelfResize(contents_1772,this); if(this.parentNode.tagName=="A"){this.onclick = "";}' border=0 hspace=0 alt="" align=baseline src="http://www.mathlove.kr/board1/MBImages/i071211358_logarithm-Spiral.JPG"><BR>또한 매개변수로는 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=106 align=absMiddle height=48><PARAM NAME="_cx" VALUE="2804"><PARAM NAME="_cy" VALUE="1270"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/24.2`11.6/12,[1]{left lcbracket{{{x`equal`a{e}^{bt}cos t}#{y`equal`a{e}^{bt}sin t}}}right empty}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>입니다. </P>
