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FHTW Typst bei Abbildung 4

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Sven Riwoldt
2026-02-22 19:56:32 +01:00
parent c01e04918d
commit ef424f4607
2 changed files with 103 additions and 54 deletions
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109
LineareAlgebraGrafiken.typ
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@@ -1,4 +1,5 @@
#import "@preview/cetz:0.3.3" //Grafiken
#set text(font: "New Computer Modern Sans Math")
#let abb1() = {
@@ -17,13 +18,11 @@ cetz.canvas(length: 3cm, {
content: (padding: 1pt)
)
grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
//grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
line((-.25, 0), (1.85, 0), mark: (end: "stealth"))
line((-.05, 0), (1.85, 0), mark: (end: "stealth", scale: 0.8))
content((), $ x $, anchor: "west")
line((0, -.25), (0, 1.85), mark: (end: "stealth"))
line((0, -.05), (0, 1.85), mark: (end: "stealth", scale: 0.8))
content((), $ y $, anchor: "south")
for (x, ct) in ((0, $ 0 $), (0.5, $ 1 $), (1, $ 2 $), (1.5, $ 3 $), (1.25, $a_1$)) {
@@ -44,9 +43,9 @@ cetz.canvas(length: 3cm, {
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((1.25,0), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.5pt))
line((0,1.25), (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: 0.5pt))
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 $(a_1, a_2)$])})
@@ -68,13 +67,11 @@ circle((1.25,1.25), radius: 0.025, fill: green.darken(30%), stroke: (paint: gree
content: (padding: 1pt)
)
grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
// grid((-.25, -.25), (2, 2 ), step: 0.5, stroke: gray + 0.2pt)
line((-.25, 0), (1.85, 0), mark: (end: "stealth"))
line((-.05, 0), (1.85, 0), mark: (end: "stealth", scale: 0.8))
content((), $ x $, anchor: "west")
line((0, -.25), (0, 1.85), mark: (end: "stealth"))
line((0, -.05), (0, 1.85), mark: (end: "stealth", scale: 0.8))
content((), $ y $, anchor: "south")
for (x, ct) in ((0, $ 0 $), (0.5, $ 1 $), (1, $ 2 $), (1.5, $ 3 $), (1.25, $a_1$)) {
@@ -91,11 +88,11 @@ circle((1.25,1.25), radius: 0.025, fill: green.darken(30%), stroke: (paint: gree
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((1.25,0), (1.25, 1.25), stroke: (dash: "dashed", paint: blue.darken(30%), thickness: 0.5pt))
line((0,1.25), (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: 0.5pt))
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",mark: (end: "stealth", fill: green.darken(30%),scale: 0.8), stroke: (paint: green.darken(30%), thickness: 1.25pt))
content("vec.end", anchor: "north-west", padding: (left: 3mm, top: -2mm), text(green.darken(30%))[Vektor $arrow(a)$])
})
@@ -103,7 +100,7 @@ line((0,0), (1.25, 1.25),name: "vec",stroke: (paint: red.darken(30%), thickness:
}
#let abb3() = {
cetz.canvas(length: 37mm,
cetz.canvas(length: 40mm,
{
import cetz.draw: *
@@ -119,34 +116,90 @@ line((0,0), (1.25, 1.25),name: "vec",stroke: (paint: red.darken(30%), thickness:
content: (padding: 1pt)
)
grid((-.25, -.25), (2.5 , 2 ), step: 0.5, stroke: gray + 0.2pt)
//grid((-.25, -.25), (2.5 , 2 ), step: 0.5, stroke: gray + 0.2pt)
line((-.25, 0), (2.25, 0), mark: (end: "stealth"))
line((-.05, 0), (80mm, 0), mark: (end: "stealth",scale: 0.9))
content((), $ x $, anchor: "west")
line((0, -.25), (0, 1.85), mark: (end: "stealth"))
line((0, -.05), (0, 70mm), mark: (end: "stealth",scale: 0.9))
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, $a_1+b_1$)) {
for (x, ct) in ((10mm, $ 1 $), (20mm, $ b_1$), (30mm, $ 3 $),(40mm, $a_1$), (50mm,$5$), (60mm, $a_1 + b_1$),(70mm, $7$)) {
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, $6$)) {
for (y, ct) in ((10mm, $ a_2 $), (20mm, $ 2 $), (30mm, $ 3 $), (40mm, $b_2$),(1.25,$a_2+b_2$), (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))
line((0,0), (40mm, 10mm),name: "veca",mark: (end: "stealth", fill: blue.darken(30%),scale:0.9), stroke: (paint: blue.darken(30%), thickness: 0.75pt))
content("veca.100%", anchor: "west", padding: (left:1mm, bottom:-5mm),text(blue.darken(30%))[$arrow(a)$])
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))
line((40mm,0), (40mm, 10mm ), stroke: (dash: "dotted",paint: blue.darken(30%), thickness: 0.5pt))
content("vecb.80%", anchor: "east", padding: (left:0mm, bottom:5mm),text(red.darken(30%))[$arrow(b)$])
line((0,10mm), (40mm, 10mm), stroke: (dash: "dotted",paint: blue.darken(30%), thickness: 0.5pt))
line((0,0), (20mm, 40mm),name: "vecb",mark: (end: "stealth", fill: red.darken(30%),scale: 0.9), 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))
line((20mm,0mm), (20mm, 40mm), stroke: (dash: "dotted",paint: red.darken(30%), thickness: 0.5pt))
line((0mm,40mm), (20mm, 40mm), stroke: (dash: "dotted",paint: red.darken(30%), thickness: 0.5pt))
})}
line((0,0), (60mm, 50mm),name: "vec_ab",mark: (end: "stealth", fill: orange ,scale: 0.9), stroke: (paint: orange, thickness: 0.75pt))
content("vec_ab.100%", anchor: "east", padding: (left:0mm, bottom:5mm),text(green.darken(60%))[$arrow(a) + arrow(b)$])
line((20mm,40mm), (60mm, 50mm),name: "veca_dotted",mark: (end: "stealth", scale: 0.9), stroke: (dash: "dotted", paint: blue, thickness: 0.75pt))
line((40mm,10mm), (60mm, 50mm),name: "vecb_dotted",mark: (end: "stealth", scale: 0.9), stroke: (dash: "dotted", paint: red, thickness: 0.75pt))
content((50mm, 20mm), [Parallelogramm])
arc(
(48mm, 18mm),
radius: 0.25,
start: -45deg,
delta: -90deg,
mark: (
end: "stealth",
))
line((60mm,0mm), (60mm, 50mm),name: "vecab_dotted", stroke: (dash: "dotted", paint: orange, thickness: 0.75pt))
line((0mm,50mm), (60mm, 50mm),name: "vecab_dotted",stroke: (dash: "dotted", paint: orange, thickness: 0.75pt))
})}
#let abb4() = {
cetz.canvas(length: 40mm,
{
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((-30mm, 0), (50mm, 0), mark: (end: "stealth",scale: 0.9))
content((), $ x $, anchor: "west")
line((0, -.05), (0, 70mm), mark: (end: "stealth",scale: 0.9))
content((), $ y $, anchor: "south")
})
}