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Col – Lowest point on a mountain ridge between two peaks; Cuesta – Hill or ridge with a gentle slope on one side and a steep slope on the other; Dale – Low area between hills, often with a river running through it; Defile – Narrow pass or gorge between mountains or hills; Dell – Small secluded hollow
The lowest point on that route is the col. For full definitions and explanations of topographic prominence, key col, and parent, see topographic prominence. In particular, the different definitions of the parent of a peak are addressed at length in that article. Height on the other hand simply means elevation of the summit above sea level.
A topographic survey is typically based upon a systematic observation and published as a map series, made up of two or more map sheets that combine to form the whole map. A topographic map series uses a common specification that includes the range of cartographic symbols employed, as well as a standard geodetic framework that defines the map ...
Also amphidrome and tidal node. A geographical location where there is little or no tide, i.e. where the tidal amplitude is zero or nearly zero because the height of sea level does not differ significantly at high tide and low tide, and around which a tidal crest circulates once per tidal period (approximately every 12 hours). The tidal amplitude increases, though not uniformly, with distance ...
A 'saddle point' in mathematics derives its name from the fact that the prototypical example in two dimensions is a surface that curves up in one direction, and curves down in a different direction, resembling a riding saddle or a mountain pass between two peaks forming a landform saddle.
A way to visualize prominence is to imagine raising sea level so the parent peak and subject peak are two separate islands. Then lower it until a tiny land bridge forms between the two islands. This land bridge is the key col of the subject peak, and the peak's prominence is its elevation from that key col.