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Similar trigonometric functions

Similar trigonometric functions

Mechanically Adding Trigonometric Functions

These components perform key computations for Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The tide prediction formula implemented by the machine includes the addition of a series of cosine terms. The triangular metal pieces are part of slotted yoke cranks which convert circular motion to a vertical motion that traces a sinusoid. Each slotted yoke crank is connected by a shaft to a pulley, which causes the pulley to follow the sinusoidal motion. A chain going over and under pulleys sums each of their deflections to compute the tide. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. These components perform key computations for Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The tide prediction formula implemented by the machine includes the addition of a series of cosine terms. The triangular metal pieces are part of slotted yoke cranks which convert circular motion to a vertical motion that traces a sinusoid. Each slotted yoke crank is connected by a shaft to a pulley, which causes the pulley to follow the sinusoidal motion. A chain going over and under pulleys sums each of their deflections to compute the tide. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank.

Handwritten trigonometric vector set, hand drawn text of Pythagorean Theorem solution

Handwritten trigonometric vector set, hand drawn text of Pythagorean Theorem solution

Unique retro round slide rule

Unique retro round slide rule other party

Pythagorean trigonometric identity on a blackboard

Pythagorean trigonometric identity on a blackboard

Trigonometric circle

Trigonometric circle

Futuristic neural network of trigonometric figures, points and polygons. Background for graffiti blue.

Futuristic neural network of trigonometric figures, points and polygons. Background for graffiti blue.

Tulip closeup from above, trigonometric petals and beauty colors

Tulip closeup from above, trigonometric petals and beauty colors

Two trigonometric functions

Two trigonometric functions

Tangent alpha sine cosine. Trigonometric formula written on the board.

Tangent alpha sine cosine. Trigonometric formula written on the board.

Unique retro round slide rule

Unique retro round slide rule one party

Trigonometric functions definition on blackboard

Trigonometric functions definition on blackboard

Basic trigonometric functions

Basic trigonometric functions

Close up Math Book and eyeglasses on subject of Trigonometric f

Close up Math Book and eyeglasses on subject of Trigonometric f

Algebraic model of the linden leaf, constructed in the polar coordinate system and the trigonometric formula of this graph.

Algebraic model of the linden leaf, constructed in the polar coordinate system and the trigonometric formula of this graph.

Entertaining mathematics. .Trigonometric equation and graph describing the shape of a leaf of nasturtium. Beautiful card

Entertaining mathematics. .Trigonometric equation and graph describing the shape of a leaf of nasturtium. Beautiful card

Entertaining Mathematics. Trigonometric functions and algebraic graphs of water lily sheet, maple and nasturtium leaves.

Entertaining Mathematics. Trigonometric functions and algebraic graphs of water lily sheet, maple and nasturtium leaves.

Old book and the magnifying glass

Old book tables and magnifying glass on it suggesting analysis. Old book tables and magnifying glass on it suggesting analysis

Old book and the magnifying glass

Old book tables with numbers and magnifying glass on it suggesting searching. Old book tables with numbers and magnifying glass on it suggesting searching

Trigonometric Equations

Trigonometric Equations

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