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**Elemen Differensial Panjang, Luas, Volume**

Pertemuan ke-4

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**Sistem koordinat Cartesian**

P1(x, y, z) P2(x + x, y + y, z + z) Panjang differensial dl dl = dx ax + dy ay + dz az Luas differensial dsx = dy dz ax dsy = dx dz ay dsz = dx dy az Volume differensial dv = dx dy dz

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**Sistem koordinat silinder**

P1(, , z) P2( + , + , z + z) Panjang differensial dl dl = d a + d a + dz az Luas differensial ds = d dz a ds = d dz a dsz = d d az Volume differensial dv = d d dz

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**Sistem koordinat bola P1(r, , ) P2(r + r, + , + )**

Panjang differensial dl dl = dr ar + r d a + r sin d a Luas differensial dsr = r2 sin d d ar ds = r sin dr d a ds = r dr d a Volume differensial dv = r2 sin dr d d

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3D Geometric Transformation Point in 3D space –Position (x, y, z) –Color (r, g, b) –Normal (Nx, Ny, Nz) Homogenous Coordinates –Position (x,y,z,w) –Usually.

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