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An elementary treatise on solid geometry, by Charles Smith (1886)

Smith, Charles, 1844-1916 · London, Macmillan and co. · leaf 29

An illustration from An elementary treatise on solid geometry, by Charles Smith, 1886, leaf 29
ugh 0, and a fixed plane XOZ. Theposition of a point P is completely determined when itsdistance from the fixed point 0, the angle ZOP, and the anglebetween the planes XOZ, and POZ are given. These co-ordinates are called Polar Co-ordinates, and are usually de-noted by the symbols r, 6 and (/>,… … Draw PX perpendicular to the plane XOY^ and NMperpendicular to OX, and join ON, Then x — OM = OX cos (j) — OP sin 6 cos <^ = r sin 6 cos <f),y = MX= ONsm ^ = OP sin ^ sin ^ = 7- sin 6 sin <p,and z = XP = OP cos 6 = r cos 6. We can also express the polar co-ordinates of any point interms of…

Geometry, Analytic -- Solid

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