Hypotenuse - Properties

Properties

Orthographic projections:

  • The length of the hypotenuse equals the sum of the lengths of the orthographic projections of both catheti. And
  • The square of the length of a cathetus equals the product of the lengths of its orthographic projection on the hypotenuse times the length of this.
b² = a · m
c² = a · n
  • Also, the length of a cathetus b is the proportional mean between the lengths of its projection m and the hypotenuse a.
a/b = b/m
a/c = c/n

Read more about this topic:  Hypotenuse

Famous quotes containing the word properties:

    A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.
    Ralph Waldo Emerson (1803–1882)

    The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.
    John Locke (1632–1704)