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<?xml version="1.0" encoding="UTF-8"?>
<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
<name>Construct from Triangle</name>
<id>effect.draw_from_triangle</id>
<param name="tab" type="notebook">
<page name="common1" gui-text="Common Objects">
<param name="circumcircle" type="bool" gui-text="Circumcircle">false</param>
<param name="circumcentre" type="bool" gui-text="Circumcentre">false</param>
<param name="incircle" type="bool" gui-text="Incircle">false</param>
<param name="incentre" type="bool" gui-text="Incentre">false</param>
<param name="contact_tri" type="bool" gui-text="Contact Triangle">false</param>
<param name="excircles" type="bool" gui-text="Excircles">false</param>
<param name="excentres" type="bool" gui-text="Excentres">false</param>
<param name="extouch_tri" type="bool" gui-text="Extouch Triangle">false</param>
<param name="excentral_tri" type="bool" gui-text="Excentral Triangle">false</param>
<param name="orthocentre" type="bool" gui-text="Orthocentre">false</param>
<param name="orthic_tri" type="bool" gui-text="Orthic Triangle">false</param>
<param name="altitudes" type="bool" gui-text="Altitudes">false</param>
<param name="anglebisectors" type="bool" gui-text="Angle Bisectors">false</param>
<param name="centroid" type="bool" gui-text="Centroid">false</param>
<param name="ninepointcentre" type="bool" gui-text="Nine-Point Centre">false</param>
<param name="ninepointcircle" type="bool" gui-text="Nine-Point Circle">false</param>
<param name="symmedians" type="bool" gui-text="Symmedians">false</param>
<param name="sym_point" type="bool" gui-text="Symmedian Point">false</param>
<param name="sym_tri" type="bool" gui-text="Symmedial Triangle">false</param>
<param name="gergonne_pt" type="bool" gui-text="Gergonne Point">false</param>
<param name="nagel_pt" type="bool" gui-text="Nagel Point">false</param>
</page>
<page name="Custom" gui-text="Custom Points and Options">
<param name="mode" type="optiongroup" appearance="combo" gui-text="Custom Point Specified By:">
<option value="trilin">Trilinear Coordinates</option>
<option value="tcf">Triangle Function</option>
</param>
<param name="cust_str" type="string" gui-text="Point At:">cos(a_a):cos(a_b):cos(a_c)</param>
<param name="cust_pt" type="bool" gui-text="Draw Marker At This Point">false</param>
<param name="cust_radius" type="bool" gui-text="Draw Circle Around This Point">false</param>
<param name="radius" type="string" gui-text="Radius (px):">s_a*s_b*s_c/(4*area)</param>
<param name="isogonal_conj" type="bool" gui-text="Draw Isogonal Conjugate">false</param>
<param name="isotomic_conj" type="bool" gui-text="Draw Isotomic Conjugate">false</param>
</page>
<page name="Help" gui-text="Help">
<label xml:space="preserve">This extension draws constructions about a triangle defined by the first 3 nodes of a selected path. You may select one of preset objects or create your own ones.
All units are the Inkscape's pixel unit. Angles are all in radians.
You can specify a point by trilinear coordinates or by a triangle centre function.
Enter as functions of the side length or angles.
Trilinear elements should be separated by a colon: ':'.
Side lengths are represented as 's_a', 's_b' and 's_c'.
Angles corresponding to these are 'a_a', 'a_b', and 'a_c'.
You can also use the semi-perimeter and area of the triangle as constants. Write 'area' or 'semiperim' for these.
You can use any standard Python math function:
ceil(x); fabs(x); floor(x); fmod(x,y); frexp(x); ldexp(x,i);
modf(x); exp(x); log(x [, base]); log10(x); pow(x,y); sqrt(x);
acos(x); asin(x); atan(x); atan2(y,x); hypot(x,y);
cos(x); sin(x); tan(x); degrees(x); radians(x);
cosh(x); sinh(x); tanh(x)
Also available are the inverse trigonometric functions:
sec(x); csc(x); cot(x)
You can specify the radius of a circle around a custom point using a formula, which may also contain the side lengths, angles, etc. You can also plot the isogonal and isotomic conjugate of the point. Be aware that this may cause a divide-by-zero error for certain points.
</label>
</page>
</param>
<effect>
<object-type>all</object-type>
<effects-menu>
<submenu name="Generate from Path"/>
</effects-menu>
</effect>
<script>
<command location="inx" interpreter="python">construct_from_triangle.py</command>
</script>
</inkscape-extension>
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