Garis besar geometri: Perbedaan antara revisi
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{{general geometry}} |
{{general geometry}} |
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'''[[Geometri]]''' adalah cabang [[matematika]] yang |
'''[[Geometri]]''' adalah cabang [[matematika]] yang mempelajari terkait bentuk, ukuran, posisi bangun yang relatif, serta sifat-sifat tentang ruang. Geometri adalah salah satu ilmu matematika tertua. |
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== Cabang klasik == |
== Cabang klasik == |
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* [[Geometri aljabar]] |
* [[Geometri aljabar]] |
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* [[Geometri analitik]] |
* [[Geometri analitik]] |
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* [[Geometri diferensial]] |
* [[Geometri diferensial]] |
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* [[Geometri Euklides]] |
* [[Geometri Euklides]] |
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* [[Geometri non-Euklides]] |
* [[Geometri non-Euklides]] |
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* [[Geometri projektif]] |
* [[Geometri projektif]] |
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* [[Geometri |
* [[Geometri Riemann]] |
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== Cabang kontemporer == |
== Cabang kontemporer == |
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* [[Geometri |
* [[Geometri afin]] |
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* [[Geometri bidang]] |
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* [[Affine geometri]]{{stage short|00%}} |
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* [[Geometri bilangan]] |
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* [[Geometri birasional]] |
* [[Geometri birasional]] |
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* [[Geometri |
* [[Geometri bola]] |
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* [[Geometri |
* [[Geometri cembung]] |
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* [[Geometri komputasi]]{{stage short|00%}} |
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* [[Geometri konformal]]{{stage short|00%}} |
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* [[Geometri cembung]]{{stage short|00%}} |
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* [[Geometri deskriptif]]{{stage short|00%}} |
* [[Geometri deskriptif]]{{stage short|00%}} |
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* [[Geometri digital]]{{stage short|00%}} |
* [[Geometri digital]]{{stage short|00%}} |
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* [[Geometri |
* [[Geometri diskret]] |
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* [[Geometri |
* [[Geometri eliptik]] |
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* [[Geometri |
* [[Geometri enumeratif]] |
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* [[Geometri |
* [[Geometri epipolar]] |
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* [[Geometri |
* [[Geometri hiperbolik]] |
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* [[Geometri |
* [[Geometri informasi]] |
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* [[Geometri |
* [[Geometri integral]] |
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* [[Geometri |
* [[Geometri inversif]] |
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* [[Geometri |
* [[Geometri jarak]] |
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* [[Geometri |
* [[Geometri hingga]] |
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* [[Geometri |
* [[Geometri Klein]] |
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* [[Geometri kompleks]] |
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* [[Klein geometri]]{{stage short|00%}} |
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* [[Geometri |
* [[Geometri kombinatorial]] |
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* [[Geometri komputasi |
* [[Geometri komputasi]] |
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* [[Geometri |
* [[Geometri konformal]] |
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* [[Geometri |
* [[Geometri kuantum]] |
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* [[Geometri |
* [[Geometri Manhattan]] |
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* [[Geometri |
* [[Geometri mutlak]] |
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* [[Geometri komputasi#Geometri komputasi numerik|Geometri numerik]] |
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* [[Geometri sferis Lie]] |
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* [[Geometri terurut]] |
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* [[Geometri Ruppeiner]]{{stage short|00%}} |
* [[Geometri Ruppeiner]]{{stage short|00%}} |
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* [[Geometri bola]]{{stage short|50%}} |
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* [[Geometri simbolis]]{{stage short|00%}} |
* [[Geometri simbolis]]{{stage short|00%}} |
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* [[Geometri sintetis]]{{stage short|00%}} |
* [[Geometri sintetis]]{{stage short|00%}} |
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* [[Geometri sistolik]]{{stage short|00%}} |
* [[Geometri sistolik]]{{stage short|00%}} |
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* [[Geometri taksibab]]{{stage short|00%}} |
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* [[Geometri torik]]{{stage short|00%}} |
* [[Geometri torik]]{{stage short|00%}} |
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* [[Geometri transformasi]]{{stage short|00%}} |
* [[Geometri transformasi]]{{stage short|00%}} |
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* [[Geometri tropis]] |
* [[Geometri tropis]] |
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== Sejarah geometri == |
== Sejarah geometri == |
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=== Konsep umum === |
=== Konsep umum === |
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* [[ |
* [[Barisan dan deret geometri]]{{stage short|75%}} — [[Bangun (geometri)]]{{stage short|25%}} — [[Geometri]]{{stage short|100%}} — [[Pi]]{{stage short|100%}} — [[kecepatan sudut]]{{stage short|50%}} — [[kecepatan|kecepatan linear]]{{stage short|50%}} — [[Formula De Moivre|Teorema De Moivre]]{{stage short|00%}} — [[Hukum jajaran genjang]]{{stage short|00%}} — [[Teorema Pythagoras]]{{stage short|75%}} — [[Segitiga serupa]]{{stage short|00%}} — [[Identitas Trigonometri]]{{stage short|00%}} — [[lingkaran satuan]]{{stage short|50%}} — [[Trapesium]]{{stage short|50%}} — [[Segi tiga]]{{stage short|50%}} — [[Teorema]]{{stage short|50%}} — [[titik (geometri)|titik]]{{stage short|50%}} — [[garis (geometri)#sinar|sinar]]{{stage short|50%}} — [[bidang (matematika)|bidang]]{{stage short|50%}} — [[garis (matematika)|garis]]{{stage short|50%}} — [[ruas garis]]{{stage short|50%}} |
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=== Pengukuran === |
=== Pengukuran === |
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* [[Bantalan (navigasi)|Bantalan]]{{stage short|00%}} |
* [[Bantalan (navigasi)|Bantalan]] {{stage short|00%}} |
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* [[Sudut]]{{stage short|50%}} |
* [[Sudut]] {{stage short|50%}} |
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* [[Derajat (sudut)|Derajat]]{{stage short|75%}} |
* [[Derajat (sudut)|Derajat]] {{stage short|75%}} |
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* [[menit busu|Menit]]{{stage short|00%}} |
* [[menit busu|Menit]] {{stage short|00%}} |
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* [[Radian]]{{stage short|50%}} |
* [[Radian]] {{stage short|50%}} |
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* [[Lingkar]]{{stage short|00%}} |
* [[Lingkar]] {{stage short|00%}} |
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* [[Diameter]]{{stage short|75%}} |
* [[Diameter]] {{stage short|75%}} |
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* [[ |
* [[Alas (geometri)]] {{stage short|25%}} |
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=== Fungsi trigonometri === |
=== Fungsi trigonometri === |
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* [[Daftar topik Aljabar]]{{stage short|00%}} |
* [[Daftar topik Aljabar]]{{stage short|00%}} |
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* [[Daftar topik kalkulus]]{{stage short|100%}} |
* [[Daftar topik kalkulus]]{{stage short|100%}} |
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* [[Daftar topik |
* [[Daftar topik teori bilangan]]{{stage short|100%}} |
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== Bacaan lebih lanjut == |
== Bacaan lebih lanjut == |
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*{{cite book | last = Rich | first = Barnett | title = Garis Besar Geometri Schaum |edition= 4th | publisher = McGraw-Hill | location = New York | year = 2009 | isbn = 978-0-07-154412-2 }} |
*{{cite book | last = Rich | first = Barnett | title = Garis Besar Geometri Schaum | url = https://archive.org/details/geometryincludes0000rich_q9w7 |edition= 4th | publisher = McGraw-Hill | location = New York | year = 2009 | isbn = 978-0-07-154412-2 }} |
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[[Kategori:Garis besar Wikipedia]] |
Revisi terkini sejak 10 Januari 2024 14.43
Geometri |
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Ahli geometri |
Geometri adalah cabang matematika yang mempelajari terkait bentuk, ukuran, posisi bangun yang relatif, serta sifat-sifat tentang ruang. Geometri adalah salah satu ilmu matematika tertua.
Cabang klasik
[sunting | sunting sumber]- Geometri aljabar
- Geometri analitik
- Geometri diferensial
- Geometri Euklides
- Geometri non-Euklides
- Geometri projektif
- Geometri Riemann
Cabang kontemporer
[sunting | sunting sumber]- Geometri afin
- Geometri bidang
- Geometri bilangan
- Geometri birasional
- Geometri bola
- Geometri cembung
- Geometri deskriptif
- Geometri digital
- Geometri diskret
- Geometri eliptik
- Geometri enumeratif
- Geometri epipolar
- Geometri hiperbolik
- Geometri informasi
- Geometri integral
- Geometri inversif
- Geometri jarak
- Geometri hingga
- Geometri Klein
- Geometri kompleks
- Geometri kombinatorial
- Geometri komputasi
- Geometri konformal
- Geometri kontak
- Geometri kuantum
- Geometri Manhattan
- Geometri mutlak
- Geometri numerik
- Geometri padat konstruktif
- Geometri parabola
- Geometri sferis Lie
- Geometri terurut
- Geometri Ruppeiner
- Geometri simbolis
- Geometri sintetis
- Geometri sistolik
- Geometri torik
- Geometri transformasi
- Geometri tropis
- Penggunaan infinitesimal Archimedes
Sejarah geometri
[sunting | sunting sumber]- Garis waktu geometri
- Geometri Babilonia
- Geometri Mesir
- Geometri Yunani kuno
- Matematika India
- Geometri modern
Konsep geometri umum
[sunting | sunting sumber]Konsep umum
[sunting | sunting sumber]- Barisan dan deret geometri — Bangun (geometri) — Geometri — Pi — kecepatan sudut — kecepatan linear — Teorema De Moivre — Hukum jajaran genjang — Teorema Pythagoras — Segitiga serupa — Identitas Trigonometri — lingkaran satuan — Trapesium — Segi tiga — Teorema — titik — sinar — bidang — garis — ruas garis
Pengukuran
[sunting | sunting sumber]Fungsi trigonometri
[sunting | sunting sumber]Vektor
[sunting | sunting sumber]- Amplitudo
- Produk titik
- Norm (matematika) (juga dikenal sebagai besaran)
- Vektor posisi
- Perkalian skalar
- Penambahan vektor
- Nol vektor
Ruang vektor dan dimensi kompleks
[sunting | sunting sumber]- Bidang kompleks
- Sumbu imajiner
- Interpolasi linier
Satu-ke-satu- Ortogonal
- Sistem koordinat polar
- Polar
- Sumbu riil
- Garis potong
- Sektor CIrcular atau "sektor"
- Semiperimeter
Daftar
[sunting | sunting sumber]Lihat pula
[sunting | sunting sumber]- Daftar topik matematika dasar
- Daftar artikel matematika
- Tabel simbol matematika
- Daftar topik Aljabar
- Daftar topik kalkulus
- Daftar topik teori bilangan
Bacaan lebih lanjut
[sunting | sunting sumber]- Rich, Barnett (2009). Garis Besar Geometri Schaum (edisi ke-4th). New York: McGraw-Hill. ISBN 978-0-07-154412-2.