diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index fc0fb02..ea55988 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -13,7 +13,7 @@ { "path": "/", "date": "2023-04-11", - "size": 1014211 + "size": 1014853 } ], "activityHistory": [ @@ -1170,7 +1170,7 @@ }, { "date": "2023-04-11", - "value": 21469 + "value": 22111 } ] } diff --git a/notes/.obsidian/workspace.json b/notes/.obsidian/workspace.json index c9caf97..21bca01 100644 --- a/notes/.obsidian/workspace.json +++ b/notes/.obsidian/workspace.json @@ -232,6 +232,8 @@ }, "active": "7da30d7b50ee03bc", "lastOpenFiles": [ + "data/Pasted image 20230411141819.png", + "data/Pasted image 20230411141429.png", "mat/mat.md", "mat/Trigonometrie.md", "mat/Untitled", @@ -258,7 +260,6 @@ "cjl/literatura/slohy/Realismus/Realismus.md", "cjl/literatura/slohy/Romantismus/Karel Hynek Mácha.md", "cjl/literatura/slohy/Romantismus/Kytice.md", - "cjl/literatura/poznávání žánrů.md", "cjl/literatura/slohy/Realismus", "cjl/literatura/slohy/Poetismus", "data/Pasted image 20230402153918.png", @@ -270,7 +271,6 @@ "data/Screenshot_20230402_150005.png", "data/Pasted image 20230402145902.png", "data/Pasted image 20230402145720.png", - "data/Pasted image 20230402145615.png", "fyz/Pevne blbosti", "Untitled.canvas" ] diff --git a/notes/data/Pasted image 20230411141429.png b/notes/data/Pasted image 20230411141429.png new file mode 100644 index 0000000..325ad93 Binary files /dev/null and b/notes/data/Pasted image 20230411141429.png differ diff --git a/notes/data/Pasted image 20230411141819.png b/notes/data/Pasted image 20230411141819.png new file mode 100644 index 0000000..05bc6be Binary files /dev/null and b/notes/data/Pasted image 20230411141819.png differ diff --git a/notes/mat/Trigonometrie.md b/notes/mat/Trigonometrie.md index bb6d0b5..4455bef 100644 --- a/notes/mat/Trigonometrie.md +++ b/notes/mat/Trigonometrie.md @@ -15,4 +15,35 @@ goniometrické, thaletova a pythagorova platí pouze pro pravoúhlý $\triangle$ ## Euklidovy věty - pouze pro pravoúhlé $\triangle$ -- \ No newline at end of file + +![](Pasted%20image%2020230411141429.png) +$P$ … pata výšky + +$c_b=|AP|$ +$c_a=|PB|$ + +$c_b*c_a=v^2$ +$c_bc=b^2$ +$c_ac=a^2$ + +--- + +## Příklady + +P87/37, pravoúhlý $\triangle$ +$v=8cm$, $b=10cm$, $c=?$ + +Pythagorova věta pro $\triangle ACP\rightarrow c_b$ +$c_b=\sqrt{b^2-v^2}=\sqrt{100-64}=\underline{6cm}$ +![](Pasted%20image%2020230411141819.png) + +$\triangle ABC\rightarrow c$ +$c_bc=b^2$ +$c=\frac{b^2}{c_b}=\frac{100}6=\underline{\frac{50}3cm}$ + +$\triangle ABC\rightarrow a$ +$c_ac=a^2$ +$a=\sqrt{c_ac}$ +$c_a=c-c_b=\frac{32}3$ +$a=\sqrt{\frac{32}3\frac{50}3}$ +$a=\sqrt{\frac{1600}9}=\underline{\frac{40}3cm}$