查看第 4.1.4 节。TikZ 和 PGF 手册,标题为“圆圈的交点” 。您需要使用intersections
库,它允许您使用name intersections
密钥,如\path [name intersections={of=path 1 and path 2}] ;
. 要使用它,您需要使用name path
密钥,如\draw [name path = y axis, <->, dashed] (0,-5) -- (0,5) ; % y-axis
. 访问交叉点似乎因版本而异;我的本地手册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,您可以使用 , 等访问交叉点(intersection-1)
。(intersection-2)
要在示例中的每个交叉点获得圆圈,我会将您的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(以避免水平滚动条)之外,我对现有代码所做的所有更改都是将name path
键添加到您的轴和大圆圈中。然后我添加了交叉点代码,这应该是相对不言自明的。记住\usetikzlibrary{intersections}
首先,一切都应该工作。