diff options
Diffstat (limited to '31076-t/images')
| -rw-r--r-- | 31076-t/images/023a.pdf | bin | 0 -> 6036 bytes | |||
| -rw-r--r-- | 31076-t/images/024a.pdf | bin | 0 -> 7213 bytes | |||
| -rw-r--r-- | 31076-t/images/025a.pdf | bin | 0 -> 11190 bytes | |||
| -rw-r--r-- | 31076-t/images/036a.pdf | bin | 0 -> 10097 bytes | |||
| -rw-r--r-- | 31076-t/images/sources/023a.eepic | 47 | ||||
| -rw-r--r-- | 31076-t/images/sources/023a.xp | 33 | ||||
| -rw-r--r-- | 31076-t/images/sources/024a.eepic | 88 | ||||
| -rw-r--r-- | 31076-t/images/sources/024a.xp | 63 | ||||
| -rw-r--r-- | 31076-t/images/sources/025a.eepic | 513 | ||||
| -rw-r--r-- | 31076-t/images/sources/025a.xp | 54 | ||||
| -rw-r--r-- | 31076-t/images/sources/036a.eepic | 208 | ||||
| -rw-r--r-- | 31076-t/images/sources/036a.xp | 43 |
12 files changed, 1049 insertions, 0 deletions
diff --git a/31076-t/images/023a.pdf b/31076-t/images/023a.pdf Binary files differnew file mode 100644 index 0000000..578b146 --- /dev/null +++ b/31076-t/images/023a.pdf diff --git a/31076-t/images/024a.pdf b/31076-t/images/024a.pdf Binary files differnew file mode 100644 index 0000000..c491cee --- /dev/null +++ b/31076-t/images/024a.pdf diff --git a/31076-t/images/025a.pdf b/31076-t/images/025a.pdf Binary files differnew file mode 100644 index 0000000..bffcf6d --- /dev/null +++ b/31076-t/images/025a.pdf diff --git a/31076-t/images/036a.pdf b/31076-t/images/036a.pdf Binary files differnew file mode 100644 index 0000000..00d2ed8 --- /dev/null +++ b/31076-t/images/036a.pdf diff --git a/31076-t/images/sources/023a.eepic b/31076-t/images/sources/023a.eepic new file mode 100644 index 0000000..7231345 --- /dev/null +++ b/31076-t/images/sources/023a.eepic @@ -0,0 +1,47 @@ +%% Generated from 023a.xp on Tue Dec 8 12:38:19 EST 2009 by +%% ePiX-1.2.6 +%% +%% Cartesian bounding box: [-0.875,0.75] x [-0.75,1] +%% Actual size: 1.5 x 1.615in +%% Figure offset: left by 0in, down by 0in +%% +%% usepackages tikz +%% +\xdefinecolor{rgb_000000}{rgb}{0,0,0}% +\begin{tikzpicture} +\pgfsetlinewidth{0.4pt} +\useasboundingbox (0in,0in) rectangle (1.5in,1.615in); +\draw (0.260995in,0.379819in)--(0.274668in,0.419414in)-- + (0.290487in,0.462269in)--(0.308645in,0.508433in)-- + (0.329312in,0.557877in)--(0.35262in,0.610468in)-- + (0.378644in,0.665956in)--(0.407386in,0.72396in)-- + (0.438758in,0.783963in)--(0.472572in,0.84532in)-- + (0.508537in,0.907278in)--(0.546263in,0.969014in)-- + (0.585282in,1.02968in)--(0.625066in,1.08844in)-- + (0.665068in,1.14456in)--(0.704747in,1.19741in)-- + (0.743603in,1.24649in)--(0.781203in,1.29149in)-- + (0.817196in,1.33225in)--(0.851317in,1.36875in)-- + (0.883391in,1.4011in)--(0.913323in,1.42949in)-- + (0.941086in,1.45419in)--(0.966709in,1.4755in)--(0.990262in,1.49376in); +\draw (0.990262in,1.49376in)--(0.989028in,1.46473in)-- + (0.98721in,1.43174in)--(0.984742in,1.3946in)-- + (0.981567in,1.35322in)--(0.97764in,1.30759in)-- + (0.972932in,1.25786in)--(0.967436in,1.20428in)-- + (0.96117in,1.14729in)--(0.954175in,1.08741in)-- + (0.94652in,1.02531in)--(0.938294in,0.961702in)-- + (0.929602in,0.897365in)--(0.920563in,0.833058in)-- + (0.911296in,0.769503in)--(0.901922in,0.707349in)-- + (0.89255in,0.647148in)--(0.883281in,0.589341in); +\draw (0.883281in,0.589341in)--(0.824183in,0.567135in)-- + (0.76369in,0.544859in)--(0.702405in,0.522762in)-- + (0.640993in,0.501105in)--(0.580144in,0.480142in)-- + (0.520546in,0.460112in)--(0.462845in,0.441224in)-- + (0.407618in,0.42365in)--(0.355343in,0.407515in)-- + (0.306386in,0.392894in)--(0.260995in,0.379819in); +\pgftext[at={\pgfpoint{0.233317in}{0.352148in}}] {\makebox(0,0)[tr]{\hbox{\color{rgb_000000}$A$}}} +\pgftext[at={\pgfpoint{1.01794in}{1.52143in}}] {\makebox(0,0)[bl]{\hbox{\color{rgb_000000}$B$}}} +\pgftext[at={\pgfpoint{0.910958in}{0.561671in}}] {\makebox(0,0)[tl]{\hbox{\color{rgb_000000}$C$}}} +\pgftext[at={\pgfpoint{0.557604in}{1.05735in}}] {\makebox(0,0)[r]{\hbox{\color{rgb_000000}$\mu$}}} +\pgftext[at={\pgfpoint{0.550147in}{0.414648in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$\phi$}}} +\pgftext[at={\pgfpoint{1.01311in}{1.11767in}}] {\makebox(0,0)[l]{\hbox{\color{rgb_000000}$\psi$}}} +\end{tikzpicture} diff --git a/31076-t/images/sources/023a.xp b/31076-t/images/sources/023a.xp new file mode 100644 index 0000000..b448a78 --- /dev/null +++ b/31076-t/images/sources/023a.xp @@ -0,0 +1,33 @@ +/* -*-ePiX-*- */ +#include "epix.h" +using namespace ePiX; + +P mid_sph(const P& arg1, const P& arg2) +{ + P tmp(0.5*(arg1 + arg2)); + return (1.0/norm(tmp))*tmp; +} + +int main() +{ + picture(P(-0.875,-0.75), P(0.75,1), "1.5 x 1.615in"); + + begin(); + + camera.at(P(3,1.5,1)); + Sphere S; + P ptA(1,0,0), ptB(sph(1, M_PI_4, M_PI/3)), ptC(sph(1, M_PI/6, M_PI/15)); + + front_triangle(ptA, ptB, ptC, S); + + label(ptA, P(-2,-2), "$A$", bl); + label(ptB, P( 2, 2), "$B$", tr); + label(ptC, P( 2,-2), "$C$", br); + + label(mid_sph(ptA, ptB), P(-2,2), "$\\mu$", l); + label(mid_sph(ptA, ptC), P( 0,-4), "$\\phi$", b); + label(mid_sph(ptC, ptB), P( 4,0), "$\\psi$", r); + + tikz_format(); + end(); +} diff --git a/31076-t/images/sources/024a.eepic b/31076-t/images/sources/024a.eepic new file mode 100644 index 0000000..9083351 --- /dev/null +++ b/31076-t/images/sources/024a.eepic @@ -0,0 +1,88 @@ +%% Generated from 024a.xp on Tue Dec 8 16:59:27 EST 2009 by +%% ePiX-1.2.6 +%% +%% Cartesian bounding box: [-1,0.25] x [-0.625,1.125] +%% Actual size: 1.25 x 1.75in +%% Figure offset: left by 0in, down by 0in +%% +%% usepackages tikz +%% +\xdefinecolor{rgb_000000}{rgb}{0,0,0}% +\begin{tikzpicture} +\pgfsetlinewidth{0.4pt} +\useasboundingbox (0in,0in) rectangle (1.25in,1.75in); +\draw (0.108501in,0.407497in)--(0.132921in,0.390123in)-- + (0.160646in,0.372594in)--(0.191771in,0.355075in)-- + (0.226318in,0.337746in)--(0.264219in,0.320804in)-- + (0.305309in,0.304447in)--(0.349326in,0.288868in)-- + (0.395914in,0.274246in)--(0.444636in,0.260734in)-- + (0.494997in,0.248454in)--(0.546466in,0.237491in)-- + (0.598502in,0.227889in)--(0.650582in,0.219655in)-- + (0.702219in,0.212762in)--(0.752981in,0.207152in); +\draw (0.752981in,0.207152in)--(0.752777in,0.241711in)-- + (0.752915in,0.279303in)--(0.753473in,0.320137in)-- + (0.754534in,0.3644in)--(0.756194in,0.412235in)-- + (0.758555in,0.463724in)--(0.761725in,0.518863in)-- + (0.76581in,0.577532in)--(0.770909in,0.639474in)-- + (0.777104in,0.70427in)--(0.78445in,0.771331in)-- + (0.79297in,0.839904in)--(0.802637in,0.909093in)-- + (0.81338in,0.977905in)--(0.825076in,1.04531in)-- + (0.837561in,1.11033in)--(0.850638in,1.17206in)-- + (0.864093in,1.22979in)--(0.877709in,1.28299in)-- + (0.891282in,1.33136in)--(0.904632in,1.37479in)-- + (0.917607in,1.41333in)--(0.930093in,1.44721in)-- + (0.942005in,1.47671in)--(0.953292in,1.5022in)-- + (0.963925in,1.52407in)--(0.973897in,1.54272in)-- + (0.983219in,1.55854in)--(0.99191in,1.57187in)--(1in,1.58306in); +\draw (1in,1.58306in)--(0.969536in,1.57671in)-- + (0.936907in,1.5686in)--(0.902025in,1.55843in)-- + (0.864838in,1.54586in)--(0.825337in,1.53054in)-- + (0.783573in,1.51209in)--(0.739675in,1.49013in)-- + (0.693867in,1.46432in)--(0.646478in,1.43432in)-- + (0.597953in,1.39991in)--(0.548851in,1.36096in)-- + (0.499832in,1.31751in)--(0.451625in,1.26976in)-- + (0.404991in,1.21811in)--(0.360668in,1.16313in)-- + (0.319323in,1.10556in)--(0.281499in,1.04623in)-- + (0.247582in,0.986023in)--(0.21779in,0.925824in)-- + (0.192168in,0.866436in)--(0.170615in,0.80856in)-- + (0.152911in,0.752759in)--(0.138749in,0.699457in)-- + (0.127773in,0.64894in)--(0.119605in,0.601373in)-- + (0.113867in,0.556816in)--(0.1102in,0.51525in)-- + (0.108276in,0.476594in)--(0.107796in,0.440726in)--(0.108501in,0.407497in); +\draw (0.360668in,1.16313in)--(0.397798in,1.17345in)-- + (0.437313in,1.18275in)--(0.479053in,1.1909in)-- + (0.522803in,1.19778in)--(0.568293in,1.20329in)-- + (0.615206in,1.20735in)--(0.663192in,1.20993in)-- + (0.711876in,1.21101in)--(0.760875in,1.21062in)-- + (0.809811in,1.20883in)--(0.858324in,1.2057in); +\draw (0.360668in,1.16313in)--(0.386564in,1.14735in)-- + (0.414992in,1.12963in)--(0.445899in,1.10997in)-- + (0.479167in,1.08842in)--(0.514608in,1.06508in)-- + (0.551971in,1.04012in)--(0.590947in,1.01372in)-- + (0.63118in,0.986134in)--(0.672289in,0.95762in)-- + (0.713877in,0.928468in)--(0.755555in,0.898964in)--(0.796954in,0.869388in); +\draw (0.360668in,1.16313in)--(0.372054in,1.13392in)-- + (0.38551in,1.10214in)--(0.401148in,1.0678in)-- + (0.41904in,1.03099in)--(0.439205in,0.991853in)-- + (0.461605in,0.950626in)--(0.486135in,0.907608in)-- + (0.512628in,0.863163in)--(0.540858in,0.817705in)-- + (0.570544in,0.771679in)--(0.601373in,0.725541in)-- + (0.633008in,0.679734in)--(0.665107in,0.634671in)-- + (0.697339in,0.590721in)--(0.729397in,0.548193in)--(0.761009in,0.507335in); +\draw (0.360668in,1.16313in)--(0.400896in,1.1866in)-- + (0.443709in,1.20926in)--(0.48891in,1.23086in)-- + (0.536235in,1.25117in)--(0.585358in,1.26995in)-- + (0.635898in,1.28703in)--(0.687437in,1.30226in)-- + (0.739534in,1.31552in)--(0.791745in,1.32677in)-- + (0.843639in,1.33599in)--(0.894815in,1.34324in); +\pgftext[at={\pgfpoint{0.080827in}{0.352149in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$P$}}} +\pgftext[at={\pgfpoint{1.02767in}{1.61074in}}] {\makebox(0,0)[bl]{\hbox{\color{rgb_000000}$C$}}} +\pgftext[at={\pgfpoint{0.780655in}{0.179478in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$Q$}}} +\pgftext[at={\pgfpoint{0.332994in}{1.19081in}}] {\makebox(0,0)[br]{\hbox{\color{rgb_000000}$A$}}} +\pgftext[at={\pgfpoint{0.788683in}{0.507335in}}] {\makebox(0,0)[tl]{\hbox{\color{rgb_000000}$B$}}} +\pgftext[at={\pgfpoint{0.922489in}{1.34324in}}] {\makebox(0,0)[bl]{\hbox{\color{rgb_000000}$B$}}} +\pgftext[at={\pgfpoint{0.878788in}{1.12182in}}] {\makebox(0,0)[l]{\hbox{\color{rgb_000000}$G$}}} +\pgftext[at={\pgfpoint{0.826618in}{0.833684in}}] {\makebox(0,0)[l]{\hbox{\color{rgb_000000}$H$}}} +\pgftext[at={\pgfpoint{0.484954in}{0.835489in}}] {\makebox(0,0)[tr]{\hbox{\color{rgb_000000}$\mu$}}} +\pgftext[at={\pgfpoint{0.629019in}{1.46875in}}] {\makebox(0,0)[br]{\hbox{\color{rgb_000000}$\phi$}}} +\end{tikzpicture} diff --git a/31076-t/images/sources/024a.xp b/31076-t/images/sources/024a.xp new file mode 100644 index 0000000..ef0b840 --- /dev/null +++ b/31076-t/images/sources/024a.xp @@ -0,0 +1,63 @@ +/* -*-ePiX-*- */ +#include "epix.h" +using namespace ePiX; + +P mid_sph(const P& arg1, const P& arg2, double th = 0.5) +{ + P tmp(arg1 + th*(arg2 - arg1)); + return (1.0/norm(tmp))*tmp; +} +/* +P arc_ray(const P& tail, const P& head, double th = 0.5) +{ + double tmax(th*Acos(tail|head)); + P perp(head % tail); + perp *= 1/norm(perp); + + return Cos(tmax)*tail + Sin(tmax)*perp; +} +*/ + +const double thQ(M_PI_4); + +P ptP(1,0,0), ptQ(sph(1, thQ, 0)), ptC(0,0,1); +P poleP(0,1,0), poleQ(ptC*ptQ); + +int main() +{ + picture(P(-1,-0.625), P(0.25,1.125), "1.25 x 1.75in"); + + begin(); + camera.at(P(5,8,4)).range(10); + Sphere S; + + P ptA(sph(1, 0, M_PI_4)); + P ptG(-(ptA*poleQ)*poleQ), ptH(-(ptA*poleP)*poleQ); + + P ptB1(mid_sph(ptH, ptQ)), ptB2(mid_sph(ptG, ptC, 0.25)); + + front_triangle(ptP, ptQ, ptC, S); + + front_arc(ptA, ptG); + front_arc(ptA, ptH); + + front_arc(ptA, ptB1); + front_arc(ptA, ptB2); + + label(ptP, P(-2,-4), "$P$", b); + label(ptC, P( 2, 2), "$C$", tr); + label(ptQ, P( 2,-2), "$Q$", b); + + label(ptA, P(-2,2), "$A$", tl); + + label(ptB1, P(2,0), "$B$", br); + label(ptB2, P(2,0), "$B$", tr); + label(ptG, P(0,0), "$G$", r); + label(ptH, P(0,0), "$H$", r); + + label(mid_sph(ptA, ptB1), P(-2,-2), "$\\mu$", bl); + label(mid_sph(ptA, ptC), P(-2, 2), "$\\phi$", tl); + + tikz_format(); + end(); +} diff --git a/31076-t/images/sources/025a.eepic b/31076-t/images/sources/025a.eepic new file mode 100644 index 0000000..14bcebc --- /dev/null +++ b/31076-t/images/sources/025a.eepic @@ -0,0 +1,513 @@ +%% Generated from 025a.xp on Tue Dec 8 17:34:00 EST 2009 by +%% ePiX-1.2.6 +%% +%% Cartesian bounding box: [-1,1] x [-1,1] +%% Actual size: 2 x 2in +%% Figure offset: left by 0in, down by 0in +%% +%% usepackages tikz +%% +\xdefinecolor{rgb_000000}{rgb}{0,0,0}% +\begin{tikzpicture} +\pgfsetlinewidth{0.4pt} +\useasboundingbox (0in,0in) rectangle (2in,2in); +\draw (0in,1in)--(0.00137047in,1.05234in)-- + (0.0054781in,1.10453in)--(0.0123117in,1.15643in)-- + (0.0218524in,1.20791in)--(0.0340742in,1.25882in)-- + (0.0489435in,1.30902in)--(0.0664196in,1.35837in)-- + (0.0864545in,1.40674in)--(0.108993in,1.45399in)-- + (0.133975in,1.5in)--(0.161329in,1.54464in)-- + (0.190983in,1.58779in)--(0.222854in,1.62932in)-- + (0.256855in,1.66913in)--(0.292893in,1.70711in)-- + (0.330869in,1.74314in)--(0.37068in,1.77715in)-- + (0.412215in,1.80902in)--(0.455361in,1.83867in)--(0.5in,1.86603in)-- + (0.54601in,1.89101in)--(0.593263in,1.91355in)-- + (0.641632in,1.93358in)--(0.690983in,1.95106in)-- + (0.741181in,1.96593in)--(0.792088in,1.97815in)-- + (0.843566in,1.98769in)--(0.895472in,1.99452in)-- + (0.947664in,1.99863in)--(1in,2in)--(1.05234in,1.99863in)-- + (1.10453in,1.99452in)--(1.15643in,1.98769in)-- + (1.20791in,1.97815in)--(1.25882in,1.96593in)-- + (1.30902in,1.95106in)--(1.35837in,1.93358in)-- + (1.40674in,1.91355in)--(1.45399in,1.89101in)--(1.5in,1.86603in)-- + (1.54464in,1.83867in)--(1.58779in,1.80902in)-- + (1.62932in,1.77715in)--(1.66913in,1.74314in)-- + (1.70711in,1.70711in)--(1.74314in,1.66913in)-- + (1.77715in,1.62932in)--(1.80902in,1.58779in)-- + (1.83867in,1.54464in)--(1.86603in,1.5in)--(1.89101in,1.45399in)-- + (1.91355in,1.40674in)--(1.93358in,1.35837in)-- + (1.95106in,1.30902in)--(1.96593in,1.25882in)-- + (1.97815in,1.20791in)--(1.98769in,1.15643in)-- + (1.99452in,1.10453in)--(1.99863in,1.05234in)--(2in,1in)-- + (1.99863in,0.947664in)--(1.99452in,0.895472in)-- + (1.98769in,0.843566in)--(1.97815in,0.792088in)-- + (1.96593in,0.741181in)--(1.95106in,0.690983in)-- + (1.93358in,0.641632in)--(1.91355in,0.593263in)-- + (1.89101in,0.54601in)--(1.86603in,0.5in)--(1.83867in,0.455361in)-- + (1.80902in,0.412215in)--(1.77715in,0.37068in)-- + (1.74314in,0.330869in)--(1.70711in,0.292893in)-- + (1.66913in,0.256855in)--(1.62932in,0.222854in)-- + (1.58779in,0.190983in)--(1.54464in,0.161329in)-- + (1.5in,0.133975in)--(1.45399in,0.108993in)-- + (1.40674in,0.0864545in)--(1.35837in,0.0664196in)-- + (1.30902in,0.0489435in)--(1.25882in,0.0340742in)-- + (1.20791in,0.0218524in)--(1.15643in,0.0123117in)-- + (1.10453in,0.0054781in)--(1.05234in,0.00137047in)--(1in,0in)-- + (0.947664in,0.00137047in)--(0.895472in,0.0054781in)-- + (0.843566in,0.0123117in)--(0.792088in,0.0218524in)-- + (0.741181in,0.0340742in)--(0.690983in,0.0489435in)-- + (0.641632in,0.0664196in)--(0.593263in,0.0864545in)-- + (0.54601in,0.108993in)--(0.5in,0.133975in)-- + (0.455361in,0.161329in)--(0.412215in,0.190983in)-- + (0.37068in,0.222854in)--(0.330869in,0.256855in)-- + (0.292893in,0.292893in)--(0.256855in,0.330869in)-- + (0.222854in,0.37068in)--(0.190983in,0.412215in)-- + (0.161329in,0.455361in)--(0.133975in,0.5in)-- + (0.108993in,0.54601in)--(0.0864545in,0.593263in)-- + (0.0664196in,0.641632in)--(0.0489435in,0.690983in)-- + (0.0340742in,0.741181in)--(0.0218524in,0.792088in)-- + (0.0123117in,0.843566in)--(0.0054781in,0.895472in)-- + (0.00137047in,0.947664in)--(0in,1in)--cycle; 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+\draw (1in,1.9759in)--(0.958886in,1.97038in)-- + (0.917018in,1.96264in)--(0.874656in,1.9526in)-- + (0.832087in,1.94023in)--(0.789612in,1.92557in)-- + (0.747534in,1.90867in)--(0.706153in,1.88967in)-- + (0.665749in,1.86873in)--(0.626579in,1.84604in)-- + (0.588863in,1.82183in)--(0.552785in,1.79636in); +\pgftext[at={\pgfpoint{0.133243in}{0.847062in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$P$}}} +\pgftext[at={\pgfpoint{1in}{2.03125in}}] {\makebox(0,0)[b]{\hbox{\color{rgb_000000}$C$}}} +\pgftext[at={\pgfpoint{1.75546in}{0.801674in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$Q$}}} +\pgftext[at={\pgfpoint{0.552785in}{1.74101in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$A$}}} +\pgftext[at={\pgfpoint{1.44722in}{0.74947in}}] {\makebox(0,0)[tr]{\hbox{\color{rgb_000000}$D$}}} +\pgftext[at={\pgfpoint{1.74437in}{1.17297in}}] {\makebox(0,0)[bl]{\hbox{\color{rgb_000000}$B$}}} +\end{tikzpicture} diff --git a/31076-t/images/sources/025a.xp b/31076-t/images/sources/025a.xp new file mode 100644 index 0000000..3356bdb --- /dev/null +++ b/31076-t/images/sources/025a.xp @@ -0,0 +1,54 @@ +/* -*-ePiX-*- */ +#include "epix.h" +using namespace ePiX; + +P mid_sph(const P& arg1, const P& arg2, double th = 0.5) +{ + P tmp(arg1 + th*(arg2 - arg1)); + return (1.0/norm(tmp))*tmp; +} + +const double thQ(2*M_PI/3.2); + +P ptP(1,0,0), ptQ(sph(1, thQ, 0)), ptC(0,0,1); +P poleP(0,1,0), poleQ(ptC*ptQ); + +int main() +{ + picture(P(-1,-1), P(1,1), "2 x 2in"); + + begin(); + camera.at(P(4,8,2)).range(0); + Sphere S; + + S.draw(); + P ptA(sph(1, 0, M_PI/3)); + P ptG(-(ptA*poleQ)*poleQ), ptH(-(ptA*poleP)*poleQ); + + P ptB1(mid_sph(ptQ, ptC, 0.25)), ptB2(mid_sph(ptG, ptC, 0.25)); + + dashed(); + back_line(ptQ, ptP); + back_line(ptA, poleP); + back_arc(ptC, -ptQ); + + solid(); + front_line(ptP, ptQ); + front_line(ptA, poleP); + front_arc(ptC, -ptQ); + front_triangle(ptP, ptQ, ptC, S); + + front_triangle(ptA, ptB1, ptC); + + label(ptP, P( 2,-4), "$P$", b); + label(ptC, P( 0, 4), "$C$", t); + label(ptQ, P( 0,-4), "$Q$", b); + + label(ptA, P(0,-4), "$A$", b); + label(poleP, P(0,-4), "$D$", bl); + + label(ptB1, P(2, 0), "$B$", tr); + + tikz_format(); + end(); +} diff --git a/31076-t/images/sources/036a.eepic b/31076-t/images/sources/036a.eepic new file mode 100644 index 0000000..50ef500 --- /dev/null +++ b/31076-t/images/sources/036a.eepic @@ -0,0 +1,208 @@ +%% Generated from 036a.xp on Tue Dec 8 22:00:14 EST 2009 by +%% ePiX-1.2.6 +%% +%% Cartesian bounding box: [-1,1] x [0,1] +%% Actual size: 2.5 x 1.25in +%% Figure offset: left by 0in, down by 0in +%% +%% usepackages tikz +%% +\xdefinecolor{rgb_000000}{rgb}{0,0,0}% +\begin{tikzpicture} +\pgfsetlinewidth{0.4pt} +\useasboundingbox (0in,0in) rectangle (2.5in,1.25in); +\draw (0in,0in)--(2.5in,0in); +\draw (2.5in,0in)--(2.49957in,0.0327212in)-- + (2.49829in,0.0654199in)--(2.49615in,0.0980739in)-- + (2.49315in,0.130661in)--(2.48931in,0.163158in)-- + (2.48461in,0.195543in)--(2.47907in,0.227794in)-- + (2.47268in,0.25989in)--(2.46546in,0.291807in)-- + (2.45741in,0.323524in)--(2.44852in,0.355019in)-- + (2.43882in,0.386271in)--(2.4283in,0.417259in)-- + (2.41698in,0.44796in)--(2.40485in,0.478354in)-- + (2.39193in,0.508421in)--(2.37823in,0.538139in)-- + (2.36376in,0.567488in)--(2.34852in,0.596448in)-- + (2.33253in,0.625in)--(2.3158in,0.653123in)-- + (2.29834in,0.680799in)--(2.28016in,0.708008in)-- + (2.26127in,0.734732in)--(2.24169in,0.760952in)-- + (2.22143in,0.78665in)--(2.20051in,0.81181in)-- + (2.17893in,0.836413in)--(2.15672in,0.860443in)-- + (2.13388in,0.883883in)--(2.11044in,0.906718in)-- + (2.08641in,0.928931in)--(2.06181in,0.950507in)-- + (2.03665in,0.971432in)--(2.01095in,0.991692in)-- + (1.98473in,1.01127in)--(1.95801in,1.03016in)-- + (1.9308in,1.04834in)--(1.90312in,1.0658in)--(1.875in,1.08253in)-- + (1.84645in,1.09852in)--(1.81749in,1.11376in)-- + (1.78814in,1.12823in)--(1.75842in,1.14193in)-- + (1.72835in,1.15485in)--(1.69796in,1.16698in)-- + (1.66726in,1.1783in)--(1.63627in,1.18882in)-- + (1.60502in,1.19852in)--(1.57352in,1.20741in)-- + (1.54181in,1.21546in)--(1.50989in,1.22268in)-- + (1.47779in,1.22907in)--(1.44554in,1.23461in)-- + (1.41316in,1.23931in)--(1.38066in,1.24315in)-- + (1.34807in,1.24615in)--(1.31542in,1.24829in)-- + (1.28272in,1.24957in)--(1.25in,1.25in)--(1.21728in,1.24957in)-- + (1.18458in,1.24829in)--(1.15193in,1.24615in)-- + (1.11934in,1.24315in)--(1.08684in,1.23931in)-- + (1.05446in,1.23461in)--(1.02221in,1.22907in)-- + (0.99011in,1.22268in)--(0.958193in,1.21546in)-- + (0.926476in,1.20741in)--(0.894981in,1.19852in)-- + (0.863729in,1.18882in)--(0.832741in,1.1783in)-- + (0.80204in,1.16698in)--(0.771646in,1.15485in)-- + (0.741579in,1.14193in)--(0.711861in,1.12823in)-- + (0.682512in,1.11376in)--(0.653552in,1.09852in)-- + (0.625in,1.08253in)--(0.596877in,1.0658in)-- + (0.569201in,1.04834in)--(0.541992in,1.03016in)-- + (0.515268in,1.01127in)--(0.489048in,0.991692in)-- + (0.46335in,0.971432in)--(0.43819in,0.950507in)-- + (0.413587in,0.928931in)--(0.389557in,0.906718in)-- + (0.366117in,0.883883in)--(0.343282in,0.860443in)-- + (0.321069in,0.836413in)--(0.299493in,0.81181in)-- + (0.278568in,0.78665in)--(0.258308in,0.760952in)-- + (0.238729in,0.734732in)--(0.219842in,0.708008in)-- + (0.201662in,0.680799in)--(0.1842in,0.653123in)-- + (0.167468in,0.625in)--(0.151479in,0.596448in)-- + (0.136242in,0.567488in)--(0.121768in,0.538139in)-- + (0.108068in,0.508421in)--(0.0951506in,0.478354in)-- + (0.0830245in,0.44796in)--(0.0716981in,0.417259in)-- + (0.0611794in,0.386271in)--(0.0514753in,0.355019in)-- + (0.0425927in,0.323524in)--(0.0345376in,0.291807in)-- + (0.0273155in,0.25989in)--(0.0209314in,0.227794in)-- + (0.0153896in,0.195543in)--(0.0106939in,0.163158in)-- + (0.00684763in,0.130661in)--(0.00385333in,0.0980739in)-- + (0.00171308in,0.0654199in)--(0.000428344in,0.0327212in)--(0in,0in); 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+\pgftext[at={\pgfpoint{1.51698in}{0.110426in}}] {\makebox(0,0)[r]{\hbox{\color{rgb_000000}$\phi_1$}}} +\pgftext[at={\pgfpoint{0in}{-0.055348in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$A$}}} +\pgftext[at={\pgfpoint{1.25in}{-0.055348in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$O$}}} +\pgftext[at={\pgfpoint{1.75in}{-0.055348in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$C$}}} +\pgftext[at={\pgfpoint{2.5in}{-0.055348in}}] {\makebox(0,0)[t]{\hbox{\color{rgb_000000}$B$}}} +\pgftext[at={\pgfpoint{0.625in}{1.11021in}}] {\makebox(0,0)[br]{\hbox{\color{rgb_000000}$P$}}} +\pgftext[at={\pgfpoint{0.418841in}{0.957556in}}] {\makebox(0,0)[br]{\hbox{\color{rgb_000000}$P'$}}} +\end{tikzpicture} diff --git a/31076-t/images/sources/036a.xp b/31076-t/images/sources/036a.xp new file mode 100644 index 0000000..0f0b697 --- /dev/null +++ b/31076-t/images/sources/036a.xp @@ -0,0 +1,43 @@ +/* -*-ePiX-*- */ +#include "epix.h" +using namespace ePiX; + +int main() +{ + picture(P(-1,0), P(1,1), "2.5 x 1.25in"); + + begin(); + + degrees(); + double th(120), d_th(10); + P ptO(0,0), ptA(-1,0), ptB(1,0), ptC(0.4,0), ptP(cis(th)), ptP2(cis(th + d_th)); + + // double phi(Acos(((ptP - ptB)|E_1)/norm(ptP - ptB))); + // double phi2(Acos(((ptP2 - ptC)|E_1)/norm(ptP2 - ptC))); + + line(ptA, ptB); + arc(ptO, 1, 0, 180); + + line(ptO, ptP); + line(ptO, ptP2); + + line(ptC, ptP); + line(ptC, ptP2); + line(ptB, ptP); + + line(ptC, ptP); + + arc_measure(ptB, ptP - ptB, -E_1, P(-4,2), "$\\phi$", l, 16); + arc_measure(ptC, ptP - ptC, -E_1, P(-2,2), "$\\phi_1$", l, 16); + + label(ptA, P(0,-4), "$A$", b); + label(ptO, P(0,-4), "$O$", b); + label(ptC, P(0,-4), "$C$", b); + label(ptB, P(0,-4), "$B$", b); + + label(ptP, P(0,2), "$P$", tl); + label(ptP2, P(-2,0), "$P'$", tl); + + tikz_format(); + end(); +} |
