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The equation in trilinear coordinates x, y, z of any circumconic of a triangle is [1]: p. 192 l y z + m z x + n x y = 0. {\displaystyle lyz+mzx+nxy=0.} If the parameters l, m, n respectively equal the side lengths a, b, c (or the sines of the angles opposite them) then the equation gives the circumcircle .
One of the possible routes, between Stornoway and Ullapool, would be over 50 miles (80 km) long and hence the longest road tunnel in the world; [36] [37] however, shorter routes would be possible. Stornoway is the public transport hub of Lewis, with bus services to Point, Ness, Back and Tolsta, Uig, the West Side, Lochs and Tarbert, Harris ...
MV Isle of Lewis is a ro-ro ferry operated by Caledonian MacBrayne between Oban and Castlebay, Barra.Built in 1995, she remains one of only two ships in the CalMac fleet over 100 metres (328 ft) in length; the other, Loch Seaforth, being longer by almost 15 metres.
The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.
The club won its first trophy in 1952 after beating league champions Point 5–1 to win the Stornoway Cup. Between 1955 and 1957, Carloway won several more trophies: a 5–1 victory against Back to win the D'Oyle Carte Cup and a 4–1 victory against Point to win the Tormod Mor Tankard, both in 1956.
The Möller–Trumbore ray-triangle intersection algorithm, named after its inventors Tomas Möller and Ben Trumbore, is a fast method for calculating the intersection of a ray and a triangle in three dimensions without needing precomputation of the plane equation of the plane containing the triangle. [1]
The shaded blue and green triangles, and the red-outlined triangle are all right-angled and similar, and all contain the angle . The hypotenuse B D ¯ {\displaystyle {\overline {BD}}} of the red-outlined triangle has length 2 sin θ {\displaystyle 2\sin \theta } , so its side D E ¯ {\displaystyle {\overline {DE}}} has length 2 sin 2 θ ...
A time–distance diagram is a chart with two axes: one for time, the other for location. The units on either axis depend on the type of project: time can be expressed in minutes (for overnight construction of railroad modification projects such as the installation of switches) or years (for large construction projects); the location can be (kilo)meters, or other distinct units (such as ...
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