This section is from the book "Questions And Answers On The Practice And Theory Of Sanitary Plumbing", by R. M. Starbuck. Also available from Amazon: Questions and Answers on the Practice and Theory of Sanitary Plumbing.
The bell of the sink strainer should be broken off, otherwise the sink will be double trapped and will not run off freely.
The line on which such trap is placed should enter the main drain on the house side of the main trap, which is always sealed. Without the main trap there is no other protection than its own seal. It, however, should be supplied with a trap screw to be used during the dry season. Unless the trap screw with rubber gasket is made use of, it should be seen to that water is occasionally poured into the trap to renew any loss that may have occurred.
The advantage claimed for it is that it safe-guards the house against the entrance of sewer gas through flaws or cracks in pipes and joints, also in the case of repairs when a fixture trap is disconnected temporarily. It prevents the pernicious effects of sewer gas on lead and iron pipes. It also acts as a protection to the cellar drainage trap, and to conductor pipes. The disadvantages claimed in its use are that it prevents the venting of the sewer through the main stack, that it acts as an impediment to the flow of sewage, and is likely to become fouled and to freeze up.
The grease trap should be used in such places.
The Tucker Grease Trap is perhaps the most efficient. It is of the drum trap form, its entire body being surrounded by a passage which is connected with the cold water supply. The constant change of water keeps this water jacket always cool, and, as the waste enters the trap, the effect of the surrounding cold surface is to separate the grease from the liquid, allowing it to rise to the top, where it may be taken out through the cover. A partition through the middle of the trap prevents the grease from being carried out through the waste as it rises.

Plumbing For Residence.
The space between the two trap seals may become air bound and thus cause a slow passage of the waste, under which condition the stoppage of the waste is much more likely to take place.
To prevent syphonage principally, to ventilate the plumbing system, and to relieve back pressure.
From the sewer side of the trap.
Syphonage could not be prevented, and the vent would become a by-pass for sewer gas.
Counter-venting lengthens it materially.
 
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