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The first known trigonometric table, compiled by Hipparchus in the 2nd century BC, is no longer extant but tabulated the value of the chord function for every 7 + 1 / 2 degrees. In the 2nd century AD, Ptolemy compiled a more extensive table of chords in his book on astronomy , giving the value of the chord for angles ranging from 1 / ...
Lingkaran Tengah Utama Expressway, previously known as Central Spine Road (CSR) or Kuala Krai–Kuala Pilah Highway, Federal Route 34, is a new toll-free expressway under construction in the center of Peninsular Malaysia.
Kajang Dispersal Link Expressway, SILK, also known as Kajang SILK Highway Kajang Dispersal Link Expressway (Malay: Sistem Lingkaran-Lebuhraya Kajang), is an expressway built to disperse and regulate the traffic flow in Kajang, Selangor, Malaysia. The 37 km (23 mi) expressway is to allow motorists to bypass the town centre of Kajang.
Putrajaya Ring Road (Malay: Jalan Lingkaran Bandar) or Federal Route 30, is a major highway in Putrajaya, Malaysia. It connects Persiaran Selatan interchange in the west to Persiaran Timur interchange in the north. [1] Most sections of the Federal Route 30 were built under the JKR R5 road standard, with a speed limit of 90 kilometres per hour ...
The impossibility of straightedge and compass construction follows from the observation that is a zero of the irreducible cubic x 3 + x 2 − 2x − 1. Consequently, this polynomial is the minimal polynomial of 2cos( 2π ⁄ 7 ), whereas the degree of the minimal polynomial for a constructible number must be a power of 2.
The design and operation of a fractionating column depends on the composition of the feed as well as the composition of the desired products. Given a simple, binary component feed, analytical methods such as the McCabe–Thiele method [5] [8] [9] or the Fenske equation [5] can be used. For a multi-component feed, simulation models are used both ...
The ratio of the progression of side lengths is , where = (+) / is the golden ratio, and the progression can be written: ::, or approximately 1 : 1.272 : 1.618. Squares on the edges of this triangle have areas in another geometric progression, 1 : φ : φ 2 {\displaystyle 1:\varphi :\varphi ^{2}} .
For example, the number of 2-dimensional elements in a 2-dimensional cube (a square) is one, the number of 1-dimensional elements (sides, or lines) is 4, and the number of 0-dimensional elements (points, or vertices) is 4. This matches the 2nd row of the table (1, 4, 4). A cube has 1 cube, 6 faces, 12 edges, and 8 vertices, which corresponds to ...