Asymptote using geometry.asy – fig1170

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 2 h 02 min

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Figure 0117
(Compiled with Asymptote version 1.92svn-r4817) 
    
import geometry; size(8cm);

inversion inv=inversion(1,(-4.5,0));
path g1=inv*line((-1,0),(-1,1)),
g2=inv*line((1,0),(1,1));
fill(g1,lightgrey); draw(g1,linewidth(bp));
unfill(g2); draw(g2,linewidth(bp));

int n=40;
for (int i=-n; i <= n; ++i) {
  path g=inv*circle((point) (0,2*i),1);
  fill(g,(1-abs(i)/n)*yellow);
  draw(g,bp+red); draw(g,blue);
}
shipout(bbox(5mm,Fill(rgb(0.95,0.95,0.8))));

Mots-clefs : , , , , ,

Asymptote using geometry.asy – fig1160

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 1 h 02 min

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Figure 0116
(Compiled with Asymptote version 2.14svn-r5318) 
    
unitsize(1cm);
import geometry;

point pA = (0,0);
point pB = (5,0);
point pC = (5,5);

dot(pA^^pB^^pC);
draw(pA--pB--pC--cycle);

distance(Label("$x \; \mathrm{cm}$",align=S),pA,pB,3mm);
distance(Label("$y \; \mathrm{cm}$",align=E),pB,pC,3mm);
distance(Label("$z \; \mathrm{cm}$",align=I*dir(pA--pC)),pA,pC,-3mm);

shipout(bbox(xmargin=1mm,invisible));

Mots-clefs : , , , , , ,

Asymptote using geometry.asy – fig1150

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 12 h 02 min

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Figure 0115
(Compiled with Asymptote version 2.14svn-r5318) 
    
import geometry;
size(8cm);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75));
// show(currentcoordsys);

dotfactor *=1.5;
triangle t=triangleabc(3,4,5);
drawline(t, linewidth(bp));
label(t, alignFactor=3);

line l=line((-1,-2), (1,0.5));
draw(l, 0.8*red);
/* View the definition of point[] intersectionpoints(triangle,line,bool) */
dot(intersectionpoints(t,l), 0.8*red);

circle C=2*circle(t);
draw(C, 0.8*blue);
/* View the definition of point[] intersectionpoints(triangle,conic,bool) */
dot(intersectionpoints(t,C, true), 0.8*blue);

Mots-clefs : , , , ,

Asymptote using geometry.asy – fig1140

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 11 h 02 min

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Figure 0114
(Compiled with Asymptote version 2.14svn-r5318) 
    
import geometry;
size(8cm,0);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75));
// show(currentcoordsys);

triangle t=rotate(-20)*triangle((-1,0), (2,0), (0,2));
drawline(t, linewidth(bp));
label(t, alignAngle=90, alignFactor=2);

/* View the definition of point incenter(triangle) */
point incenter=incenter(t);

line ba=bisector(t.VA);
draw(ba, blue);
markangle((line) t.AB, (line) t.AC,StickIntervalMarker(i=2,n=1));

line bb=bisector(t.VB);
draw(bb, blue);
markangle((line) t.BC, (line) t.BA, radius=2cm, StickIntervalMarker(i=2,n=2));

line bc=bisector(t.VC);
draw(bc, blue);
markangle((line) t.CA, (line) t.CB, radius=1.5cm, StickIntervalMarker(i=2,n=3));

Mots-clefs : , , , ,

Asymptote using geometry.asy – fig1130

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 10 h 02 min

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Figure 0113
(Compiled with Asymptote version 2.14svn-r5318) 
    
import geometry;
size(8cm,0);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75));
// show(currentcoordsys);

triangle t=rotate(-20)*triangle((-1,0), (2,0), (0,2));
drawline(t, linewidth(bp));
label(t,alignFactor=4);

line bab=bisector(t.AB);
draw(bab, blue);
perpendicularmark(t.AB,bab,quarter=4);

line bac=bisector(t.AC);
draw(bac, blue);
perpendicularmark(t.AC,bac,quarter=4);

line bbc=bisector(t.BC);
draw(bbc, blue);
perpendicularmark(t.BC,bbc,quarter=4);

Mots-clefs : , , , , ,

Asymptote using geometry.asy – fig1120

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 9 h 02 min

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Figure 0112
(Compiled with Asymptote version 2.14svn-r5318) 
    
import geometry;
size(10cm,0);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75));
// show(currentcoordsys);

triangle t=triangle((-1,0), (2,0), (0,2));

drawline(t, linewidth(bp));
label(t,alignFactor=2, alignAngle=90);

/* View the definition of triangle symmedial(triangle) */
triangle st=symmedial(t);
draw(st, bp+0.8green);
label("$A'$", "$B'$", "$C'$", st, alignAngle=45, 0.8green);

/* View the definition of line median(vertex) */
line mA=median(t.VA);
draw(mA, blue);
dot("$M_A$",midpoint(t.BC), 1.5E, blue);
draw(segment(t.BC), bp+blue, StickIntervalMarker(2,2,blue));

/* View the definition of line bisector(vertex,real) */
line bA=bisector(t.VA);
draw(bA, grey);
/* View the definition of point bisectorpoint(side) */
dot("$B_A$", bisectorpoint(t.BC));

/* View the definition of line symmedian(vertex) */
line sA=symmedian(t.VA);
draw(sA, 0.8*green);

draw(symmedian(t.VB), 0.8*green);
draw(symmedian(t.VC), 0.8*green);

/* View the definition of point symmedian(triangle) */
point sP=symmedian(t);
dot(sP);

markangle(sA, (line) t.AC, radius=2cm, StickIntervalMarker(1,1));
markangle((line) t.AB, mA, radius=2cm, StickIntervalMarker(1,1));
markangle(mA, sA, radius=10cm, StickIntervalMarker(2,2));

Mots-clefs : , , , , ,

Asymptote using geometry.asy – fig1110

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 8 h 02 min

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Figure 0111
(Compiled with Asymptote version 2.14svn-r5318) 
    
import geometry;
size(10cm,0);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75));
// show(currentcoordsys);

triangle t=triangle((-1,0), (2,0), (0,2));

/* View the definition of void drawline(picture,triangle,pen) */
drawline(t, linewidth(bp));
/* View the definition of void label(picture,Label,Label,Label,triangle,real,real,pen,filltype) */
label(t,alignFactor=4);

/* View the definition of circle circle(triangle) */
circle cc=circle(t);
draw(cc, 0.8blue);
dot(cc.C, blue);
/* View the definition of triangle tangential(triangle) */
triangle tgt=tangential(t);
draw(tgt, bp+0.8blue);
label("$A_1$", "$B_1$", "$C_1$", tgt, blue);

/* View the definition of circle incircle(triangle) */
circle ic=incircle(t);
draw(ic, 0.8red);
dot(ic.C, red);
triangle intouch=intouch(t);
draw(intouch, bp+0.8red);
label("$A_2$", "$B_2$", "$C_2$", intouch, red);

/* View the definition of circle excircle(side,triangle) */
circle ec=excircle(t.AB);
clipdraw(ec, 0.8green);
dot(ec.C, green);

ec=excircle(t.AC);
clipdraw(ec, 0.8green);
dot(ec.C, green);

ec=excircle(t.BC);
clipdraw(ec, 0.8green);
dot(ec.C, green);

/* View the definition of triangle extouch(triangle) */
triangle ext=extouch(t);
draw(ext, bp+0.8green);
label("$A_3$", "$B_3$", "$C_3$", ext, green);

/* View the definition of point extouch(side) */
dot(extouch(t.AB), 0.8*green);
dot(extouch(t.BC), 0.8*green);
dot(extouch(t.CA), 0.8*green);

/* View the definition of point intouch(side) */
dot(intouch(t.AB), 0.8*red);
dot(intouch(t.BC), 0.8*red);
dot(intouch(t.CA), 0.8*red);

// Enlarge the bounding box of the current picture
draw(box((-2.5,-3), (3.5,3.5)), invisible);

Mots-clefs : , , , , , ,

Asymptote using geometry.asy – fig1100

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 7 h 02 min

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Figure 0110
(Compiled with Asymptote version 2.14svn-r5318) 
    
import geometry;
size(10cm,0);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75));
// show(currentcoordsys);

triangle t=triangle((-1,0), (2,0), (0,2));

drawline(t, linewidth(bp));
/* View the definition of void label(picture,Label,Label,Label,triangle,real,real,pen,filltype) */
label(t, alignFactor=4);

/* View the definition of triangle anticomplementary(triangle) */
triangle at=anticomplementary(t);
draw(at, bp+0.8green);
label("$A'$", "$B'$", "$C'$", at, blue);

draw(segment(at.AB), bp+0.8green, StickIntervalMarker(2,1));
draw(segment(at.BC), bp+0.8green, StickIntervalMarker(2,2));
draw(segment(at.CA), bp+0.8green, CrossIntervalMarker(2,3));

Mots-clefs : , , , ,

Asymptote using geometry.asy – fig1090

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 6 h 02 min

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Figure 0109
(Compiled with Asymptote version 2.14svn-r5318) 
    
import geometry;

size(10cm);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75));
// show(currentcoordsys);

/* View the definition of triangle triangleAbc(real,real,real,real,point) */
triangle t=triangleAbc(60,3,5,angle=90);
show(Lb="3", Lc="5",t);
markangle("$60^\circ$",t.B,t.A,t.C);

Mots-clefs : , ,

Asymptote using geometry.asy – fig1080

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 5 h 02 min

You may view all the posts of the category "geometry.asy"
Figure 0108
(Compiled with Asymptote version 2.14svn-r5318) 
    
import geometry;

size(10cm);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75));
// show(currentcoordsys);

/* View the definition of triangle triangleabc(real,real,real,real,point) */
triangle t=triangleabc(3,4,5);
/* View the definition of void show(picture,Label,Label,Label,Label,Label,Label,triangle,pen,filltype) */
show(La="3", Lb="4", Lc="5",t);

Mots-clefs : ,

haut

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