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area of grey square = area of grey rectangle: = = In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse.
In practice, since temperature usually drops with altitude, the graphs are usually mostly vertical (see examples linked to below). The major use for skew-T log-P diagrams is the plotting of radiosonde soundings , which give a vertical profile of the temperature and dew point temperature throughout the troposphere and lower stratosphere .
This is a list of notable theorems.Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures
A trivial example. In mathematics, the mountain climbing problem is a mathematical problem that considers a two-dimensional mountain range (represented as a continuous function), and asks whether it is possible for two mountain climbers starting at sea level on the left and right sides of the mountain to meet at the summit, while maintaining equal altitudes at all times.
In probability theory, an event is a subset of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. [1] A single outcome may be an element of many different events, [2] and different events in an experiment are usually not equally likely, since they may include very different groups of outcomes. [3]
For example, the world's second-highest mountain is K2 (height 8,611 m, prominence 4,017 m). While Mount Everest 's South Summit (height 8,749 m, prominence 11 m [ 2 ] ) is taller than K2, it is not considered an independent mountain because it is a sub-summit of the main summit (which has a height and prominence of 8,848 m).
Three cases are dependent on the observer's latitude (L) and the declination (δ) of the celestial object: [citation needed]. The object is above the horizon even at its lower culmination; i.e. if | δ + L | > 90° (i.e. if in absolute value the declination is more than the colatitude, in the corresponding hemisphere)
The process of drawing the altitude from a vertex to the foot is known as dropping the altitude at that vertex. It is a special case of orthogonal projection. Altitudes can be used in the computation of the area of a triangle: one-half of the product of an altitude's length and its base's length (symbol b) equals the triangle's area: A = h b /2 ...