我试图在PGF / TikZ中显示一个球体以说明大圆的想法。
我当前结果的代码是:
\begin{tikzpicture}
\tikzfading[name=fade right,
left color=transparent!20,
right color=transparent!90]
\tikzfading[name=fade out,
inner color=transparent!100,
outer color=transparent!10]
\tikzfading[name=fade right gc,
left color=transparent!0,
right color=transparent!70]
\draw [<->, dashed] (0,-5) -- (0,5); % y-axis
\draw [->, dashed] (0, 0) -- (20:5); % x-axis
\draw [->, dashed] (0, 0) -- (200:5); % x-axis
\draw [->, dashed] (0, 0) -- (340:5); % z-axis
\draw [->, dashed] (0, 0) -- (160:5); % z-axis
\fill [color=cyan, opacity=0.15, path fading=fade out] (0,0) circle (4cm); % bounding circle
\fill [color=cyan, opacity=0.25, path fading=fade right, fading angle=90] (0,0) ellipse (4cm and 1cm); % x-y-axis area
% great circle 1
\draw [rotate=-40, color=red, path fading=fade right gc, fading angle=40] (0,0) ellipse (4cm and 1cm);
% great circle 2
\draw[rotate=5, color=red, path fading=fade right gc, fading angle=5] (0,0) ellipse (1.5cm and 4cm);
\end{tikzpicture}
我如何
放置一些圆形或矩形没有问题。
非常感谢你!
最佳答案
请参阅第4.1.4节。 TikZ and PGF manual的标题为“圆的交点”。您需要使用intersections库，该库允许您使用name intersections键，就像\path [name intersections={of=path 1 and path 2}] ;一样。要使用此功能，您需要像name path一样使用\draw [name path = y axis, <->, dashed] (0,-5) -- (0,5) ; % y-axis键。不同版本之间访问交叉点的方式似乎有所不同。本手册的本地副本与我链接到的手册有不同的说明。但是，至少在我的版本中，然后使用(intersection-1)，(intersection-2)等访问交点。然后，为了在示例中的每个交点处获得圆，然后，我将代码更改为如下所示:
\begin{tikzpicture}
\tikzfading[ name = fade right
, left color = transparent!20
, right color = transparent!90 ]
\tikzfading[name = fade out
, inner color = transparent!100
, outer color = transparent!10 ]
\tikzfading[name = fade right gc
, left color = transparent!0
, right color = transparent!70]
\draw [name path = y axis, <->, dashed] (0,-5) -- (0,5) ; % y-axis
\draw [name path = x- axis, ->, dashed] (0, 0) -- (20:5) ; % x-axis
\draw [name path = x+ axis, ->, dashed] (0, 0) -- (200:5) ; % x-axis
\draw [name path = z+ axis, ->, dashed] (0, 0) -- (340:5) ; % z-axis
\draw [name path = z- axis, ->, dashed] (0, 0) -- (160:5) ; % z-axis
% bounding circle
\fill [color=cyan, opacity=0.15, path fading=fade out]
(0,0) circle (4cm) ;
% x-y-axis area
\fill [color=cyan, opacity=0.25, path fading=fade right, fading angle=90]
(0,0) ellipse (4cm and 1cm);
% great circle 1
\draw [ name path = great circle 1
, rotate = -40
, color = red
, path fading = fade right gc
, fading angle = 40]
(0,0) ellipse (4cm and 1cm);
% great circle 2
\draw [ name path = great circle 2
, rotate = 5
, color = red
, path fading = fade right gc
, fading angle = 5]
(0,0) ellipse (1.5cm and 4cm);
% Intersections
\path [name intersections={of=great circle 1 and great circle 2}] ;
\foreach \i in {1,...,4}
\fill [color=red] (intersection-\i) circle (2pt) ;
\path [name intersections={of=y axis and great circle 1}] ;
\fill (intersection-1) circle (2pt) ;
\fill (intersection-2) circle (2pt) ;
\path [name intersections={of=y axis and great circle 2}] ;
\fill (intersection-1) circle (2pt) ;
\fill (intersection-2) circle (2pt) ;
\foreach \a in {x,z} {
\foreach \ss in {+,-} {
\def\s.{\ss} % Otherwise the space in `\a\s axis` would get gobbled.
\path [name intersections={of=\a\s. axis and great circle 1}] ;
\fill (intersection-1) circle (2pt) ;
\path [name intersections={of=\a\s. axis and great circle 2}] ;
\fill (intersection-1) circle (2pt) ;
}
}
\end{tikzpicture}
除了重新格式化(避免使用水平滚动条)之外，我对现有代码所做的更改只是将
name path键添加到了轴和大圆上。然后，我添加了相交代码，该代码应该相对不言自明。记住首先要\usetikzlibrary{intersections}，一切都应该正常工作。关于latex - 如何在PGF/TikZ中找到带有椭圆的交点，我们在Stack Overflow上找到一个类似的问题：https://stackoverflow.com/questions/2801370/