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The tuba (UK: /ˈtjuːbə/;[1] US: /ˈtuːbə/) is the largest and lowest-pitched musical instrument in the brass family. As with all brass instruments, the sound is produced by lip vibration – a buzz – into a mouthpiece. It first appeared in the mid-19th century, making it one of the newer instruments in the modern orchestra and concert band, and largely replaced the ophicleide.[2] Tuba is Latin for "trumpet".[3]

A person who plays the tuba is called a tubaist, a tubist,[4] or simply a tuba player. In a British brass band or military band, they are known as bass players.

History
Prussian Patent No. 19 was granted to Wilhelm Friedrich Wieprecht and Johann Gottfried Moritz[5] on 12 September 1835 for a "bass tuba" in F1. The original Wieprecht and Moritz instrument used five valves of the Berlinerpumpen type that was the forerunner of the modern piston valve. The first tenor tuba was invented in 1838 by Moritz's son Carl Wilhelm Moritz.

The addition of valves made it possible to play low in the harmonic series of the instrument and still have a complete selection of notes. Prior to the invention of valves, brass instruments were limited to notes in the harmonic series, and were thus generally played very high with respect to their fundamental pitch. Harmonics starting three octaves above the fundamental pitch are about a whole step apart, making a useful variety of notes possible.

The ophicleide used a bowl-shaped brass instrument mouthpiece but had keys and tone holes similar to those of a modern saxophone. Another forerunner to the tuba, the serpent, was a bass instrument shaped in a wavy form to make the tone holes accessible to the player. Tone holes change the pitch by providing an intentional leak in the bugle of the instrument, but this system has a pronounced effect on the timbre. By using valves instead, the tuba could produce a smoother tone, which led to its popularity. Tubas were mostly used by French composers, especially Hector Berlioz, who famously used the ophicleide in his compositions Symphonie fantastique and Benvenuto Cellini. These pieces are now normally performed on F or CC tuba.

Adolphe Sax, like Wieprecht, was interested in marketing families of instruments ranging from soprano to bass, and developed a series of brass instruments known as saxhorns. The instruments developed by Sax were generally pitched in E♭ and B♭, while the Wieprecht "basstuba" and the subsequent Červený contrabass tuba were pitched in F and C (see below on pitch

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Tesla, Inc. is an American manufacturer of electric automobiles, solar panels, and batteries for cars and home power storage. It was founded in 2003 by American entrepreneurs Martin Eberhard and Marc Tarpenning and was named after Serbian American inventor Nikola Tesla.

Tesla Inc (Tesla) is an automotive and energy company. It designs, develops, manufactures, sells, and leases electric vehicles, energy generation, and storage systems. It produces and sells the Model Y, Model 3, Model X, Model S, Cybertruck, Tesla Semi, and Tesla Roadster vehicles.

One of the reasons Tesla became a renowned brand is its constant drive for innovation. From its sleek and futuristic designs to its cutting-edge technology, Tesla has continued to push the boundaries of what is possible with electric cars.

The term "electric car" typically refers specifically to battery electric vehicles (BEVs) or all-electric cars, a type of electric vehicle (EV) that has an onboard rechargeable battery pack that can be plugged in and charged from the electric grid, and the electricity stored on the vehicle is the only energy source ...

A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional points while the sides connecting them, also called edges, are one-dimensional line segments. A triangle has three internal angles, each one bounded by a pair of adjacent edges; the sum of angles of a triangle always equals a straight angle (180 degrees or π radians). The triangle is a plane figure and its interior is a planar region. Sometimes an arbitrary edge is chosen to be the base, in which case the opposite vertex is called the apex; the shortest segment between the base and apex is the height. The area of a triangle equals one-half the product of height and base length.

In Euclidean geometry, any two points determine a unique line segment situated within a unique straight line, and any three points that do not all lie on the same straight line determine a unique triangle situated within a unique flat plane. More generally, four points in three-dimensional Euclidean space determine a tetrahedron.

In non-Euclidean geometries, three "straight" segments (having zero curvature) also determine a triangle, for instance, a spherical triangle or hyperbolic triangle. A geodesic triangle is a region of a general two-dimensional surface enclosed by three sides that are straight relative to the surface (geodesics). A curvilinear triangle is a shape with three curved sides, for instance, a circular triangle with circular-arc sides. This article is about straight-sided triangles in Euclidean geometry, except where otherwise noted.

Triangles are classified into different types based on their angles and the lengths of their sides. Relations between angles and side lengths are a major focus of trigonometry. In particular, the sine, cosine, and tangent functions relate side lengths and angles in right triangles.

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