In the datasheet of the LM335 is stated which pin has which function depending on your package (TO-92, SO-8, ...). Neither pin goes to the body but the Sensor itself needs to be attached where you want to measure temperature (the third pin is for adjusting the sensor output). Regarding its large size (big thermal mass or heat capacitance) the LM335 is IMHO not very suitable for measuring small temperature differences of an object near room temperature. Maybe it would be wiser to use a Pt100/Pt1000 with a very small footprint, put it directly onto the skin and isolate it against the ambient temperature. If you wire them in a Wheatstone bridge you would get a sensitivity of approximately 1mV/K (Pt1000 resp. 0.1mV/K using two Pt100). This voltage can be easily amplified if you are paying attention to noise and clibrate the bridge.
If you wanted to use the attached circuit:
- the wires to the sensors (dashed boxes) should be same length
- the gain of the amplifier is calculated by A = (R2 + R1) / R1 thus the sensitivity of the circuit is approximately (R2 + R1) / R2 * 1mv/K
- The lowpass filter at the output of the amplifier can be used to suppress noise, and its corner frequency is calculated by f = 1 / (2 * pi * R3 * C1). Its useful value depends on the expected speed of temperature changes you want to monitor. If they are very slow it would be necessary to use an active filter, otherwise the value for the capacitor would become very large. But the circuit works without this filter as well.
- the potentiometers R4 and R5 are used to set the zero point
- your voltage output has a positive value if the temperature at the second sensor (Pt1000-2) is higher than at the first one
- you need positive and negative supply voltage for the opamp as well