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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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A site plan or a plot plan is a type of drawing used by architects, landscape architects, urban planners, and engineers which shows existing and proposed conditions for a given area, typically a parcel of land which is to be modified. Sites plan typically show buildings, roads, sidewalks and paths/trails, parking, drainage facilities, sanitary ...
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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 ...
Connecting to an existing water line (white pipe) with a stainless steel tapping sleeve and valve (red). A concrete thrust block is being formed behind the new connection. Water pipe connected to the septic tank .
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