Beginn typst

LineareAlgebraGrafiken.typ

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+#import "@preview/cetz:0.3.3" //Grafiken
+
+#let abb1() = {
+
+cetz.canvas(length: 3cm, {
+  import cetz.draw: *
+
+  set-style(
+    mark: (fill: black, scale: 2),
+    stroke: (thickness: 0.4pt, cap: "round"),
+    angle: (
+      radius: 0.3,
+      label-radius: .22,
+      fill: green.lighten(80%),
+      stroke: (paint: green.darken(50%))
+    ),
+    content: (padding: 1pt)
+  )
+
+  grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
+
+
+
+  line((-.25, 0), (1.85, 0), mark: (end: "stealth"))
+  content((), $ x $, anchor: "west")
+  line((0, -.25), (0, 1.85), mark: (end: "stealth"))
+  content((), $ y $, anchor: "south")
+
+  for (x, ct) in ((0, $ 0 $), (0.5, $ 1 $), (1, $ 2 $), (1.5, $ 3 $), (1.25, $a_1$)) {
+    line((x, 3pt), (x, -3pt))
+    content((), anchor: "north", ct)
+  }
+
+  for (y, ct) in ((0.5, $ 1 $), (1, $ 2 $), (1.5, $ 3 $), (1.25, $a_2$)) {
+    line((3pt, y), (-3pt, y))
+    content((), anchor: "east", ct)
+  }
+
+  
+
+  //line((0,0), (1.25, 1.25),name: "vec",mark: (end: "stealth", fill: green.darken(30%)),
+  //stroke: (paint: green.darken(30%), thickness: 1.25pt))
+
+line((0,0), (1.25, 1.25),name: "vec",stroke: (paint: red.darken(30%), thickness: 1.25pt))
+
+
+  line((1.25,0), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.75pt))
+
+  line((0,1.25), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.75pt))
+
+circle((1.25,1.25), radius: 0.025, fill: green.darken(30%), stroke: (paint: green.darken(30%), thickness: 1.25pt), name: "punkt")
+  content("punkt.end", anchor: "south-west", padding: (left: 3mm, bottom: 2mm),  text(green.darken(30%))[Punkt $(a_1, a_2)$])})
+}
+
+#let abb2() = {
+  cetz.canvas(length: 3cm, {
+  import cetz.draw: *
+
+  set-style(
+    mark: (fill: black, scale: 2),
+    stroke: (thickness: 0.4pt, cap: "round"),
+    angle: (
+      radius: 0.3,
+      label-radius: .22,
+      fill: green.lighten(80%),
+      stroke: (paint: green.darken(50%))
+    ),
+    content: (padding: 1pt)
+  )
+
+  grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
+
+
+
+  line((-.25, 0), (1.85, 0), mark: (end: "stealth"))
+  content((), $ x $, anchor: "west")
+  line((0, -.25), (0, 1.85), mark: (end: "stealth"))
+  content((), $ y $, anchor: "south")
+
+  for (x, ct) in ((0, $ 0 $), (0.5, $ 1 $), (1, $ 2 $), (1.5, $ 3 $), (1.25, $a_1$)) {
+    line((x, 3pt), (x, -3pt))
+    content((), anchor: "north", ct)
+  }
+
+  for (y, ct) in ((0.5, $ 1 $), (1, $ 2 $), (1.5, $ 3 $), (1.25, $a_2$)) {
+    line((3pt, y), (-3pt, y))
+    content((), anchor: "east", ct)
+  }
+
+
+line((0,0), (1.25, 1.25),name: "vec",stroke: (paint: red.darken(30%), thickness: 1.25pt))
+
+
+  line((1.25,0), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.75pt))
+
+  line((0,1.25), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.75pt))
+
+  line((0,0), (1.25, 1.25),name: "vec",mark: (end: "stealth", fill: green.darken(30%)), stroke: (paint: green.darken(30%), thickness: 1.25pt))
+
+  content("vec.end", anchor: "north-west", padding: (left: 3mm, top: -2mm), text(green.darken(30%))[Vektor $arrow(a)$])
+})
+
+}
+
+#let abb3() = {
+  cetz.canvas(length: 37mm,
+   {
+  import cetz.draw: *
+
+  set-style(
+    mark: (fill: black, scale: 2),
+    stroke: (thickness: 0.4pt, cap: "round"),
+    angle: (
+      radius: 0.3,
+      label-radius: .22,
+      fill: green.lighten(80%),
+      stroke: (paint: green.darken(50%))
+    ),
+    content: (padding: 1pt)
+  )
+
+  grid((-.25, -.25), (2.5 , 2 ), step: 0.5, stroke: gray + 0.2pt)
+
+    line((-.25, 0), (2.25, 0), mark: (end: "stealth"))
+  content((), $ x $, anchor: "west")
+  line((0, -.25), (0, 1.85), mark: (end: "stealth"))
+  content((), $ y $, anchor: "south")
+
+  for (x, ct) in ((0.25, $ 1 $), (0.5, $ 2$), (0.75, $ a_1 $),(1, $b_1$), (1.25,$5$), (1.5, $6$),(1.75, $a_1+b_1$)) {
+    line((x, 3pt), (x, -3pt))
+    content((), anchor: "north", ct)
+  }
+
+  for (y, ct) in ((0.25, $ 1 $), (0.5, $ a_2 $), (.75, $ 3 $), (1., $b_2$),(1.25,$5$), (1.5, $6$)) {
+    line((3pt, y), (-3pt, y))
+    content((), anchor: "east", ct)
+  }
+
+  line((0,0), (0.75, .5),name: "veca",mark: (end: "stealth", fill: blue.darken(30%)), stroke: (paint: blue.darken(30%), thickness: 0.75pt))
+  
+  content("veca.100%", anchor: "west", padding: (left:1mm, bottom:-5mm),text(blue.darken(30%))[$arrow(a)$])
+
+  line((0,0), (1, 1),name: "vecb",mark: (end: "stealth", fill: red.darken(30%)), stroke: (paint: red.darken(30%), thickness: 0.75pt))
+
+  content("vecb.80%", anchor: "east", padding: (left:0mm, bottom:5mm),text(red.darken(30%))[$arrow(b)$])
+
+  //
+
+  //line((0,0), (1.5, 1),name: "vecb",mark: (end: "stealth", fill: red), stroke: (paint: red, thickness: 0.75pt))
+
+
+  })}