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Proof without words: One house is temporarily deleted. The lines connecting the remaining houses with the utilities divide the plane into three regions. Whichever region the deleted house is placed into, the similarly shaded utility is outside the region. By the Jordan curve theorem, a line connecting them must intersect one of the existing lines.
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In water supply system drawing there will be hot water piping and cold water piping and hot water return piping also. In drainage system drawings there will be waste piping, Soil piping and vent piping. The set of drawing of each system like water supply, drainage etc is consist of Plans, Riser diagram, Installation details, Legends, Notes.
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For such drainage systems to work properly it is crucial that neutral air pressure be maintained within all lines, allowing free gravity flow of water and sewage down drains and through waste pipes. It is critical that a sufficient "pitch" (downward slope) be maintained throughout the drain pipes to keep liquids and entrained solids flowing ...
This specialized type of tee fitting is used primarily in pressurized hydronic heating systems to divert a portion of the flow from the main line into a side branch connected to a radiator or heat exchanger. The diverter tee allows the flow in the main line, even when the side branch is shut down and not calling for heat.
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