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- Some laser hypsometers have a built in height measurement function.
- The principle of operation of such a scale hypsometer is based on the idea of similar triangles in geometry.
- He designed sensitive thermometers, hygrometers, hypsometers and calorimeters, and measured the specific heats of many substances and the coefficient of thermal expansion of gases.
- Most reflect measurement errors attributable to not accurately locating the highest crown point relative to the base of the tree a common error made by the users employing only clinometers / hypsometers when measuring height.
- RightAn example of such a scale hypsometer is illustrated here, and can be seen to consist of a sighting tube, a fixed horizontal scale, and an adjustable vertical scale with attached plumb line.
- 100pxA pressure hypsometer as shown in the drawing ( right ) employs the principle that the boiling point of a liquid is lowered by diminishing the barometric pressure, and that the barometric pressure varies with the height of the point of observation.
- Therefore in sketch c we see that using the principle of similar triangles, given that each triangle has identical angles, the sides will be in proportion : x the distance to the object in proportion to x', the height set on the vertical scale of the hypsometer, and h the height of the object above the observers eye-line in proportion to h', the reading from the horizontal scale of the hypsometer.
- Therefore in sketch c we see that using the principle of similar triangles, given that each triangle has identical angles, the sides will be in proportion : x the distance to the object in proportion to x', the height set on the vertical scale of the hypsometer, and h the height of the object above the observers eye-line in proportion to h', the reading from the horizontal scale of the hypsometer.
- Therefore in sketch f we see that using the principle of similar triangles, given that each triangle has identical angles, the sides will be in proportion : x the distance to the object in proportion to x', the height set on the vertical scale of the hypsometer, and d the depth of the object below the observers eye-line in proportion to d', the reading from the horizontal scale of the hypsometer.
- Therefore in sketch f we see that using the principle of similar triangles, given that each triangle has identical angles, the sides will be in proportion : x the distance to the object in proportion to x', the height set on the vertical scale of the hypsometer, and d the depth of the object below the observers eye-line in proportion to d', the reading from the horizontal scale of the hypsometer.
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