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2008 studio album by Van der Graaf Generator
newsletter detailing the making of the Trisector album". sofasound.com. "Van der Graaf Generator – Trisector (2008) at ProGGnosis Artist-Release Details
Trisector
Construction of an angle equal to one third a given angle
angle trisector if and only if it has three real roots. A regular polygon with n sides can be constructed with ruler, compass, and angle trisector if and
Angle_trisection
3 intersections of any triangle's adjacent angle trisectors form an equilateral triangle
geometry, Morley's trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral
Morley's_trisector_theorem
Method of drawing geometric objects
quadratrix to both trisect the general angle and square the circle, and Nicomedes in the second century BCE showed how to use a conchoid to trisect an arbitrary
Straightedge and compass construction
Straightedge_and_compass_construction
Polynomial equation of degree 3
angle trisector if and only if it has three real roots. A cubic equation can be solved by compass-and-straightedge construction (without trisector) if and
Cubic_equation
Tool for trisecting angles
make no difference to the action of the tomahawk as a trisector. To use the tomahawk to trisect an angle, it is placed with its handle line touching the
Tomahawk_(geometry)
Shape with nine sides
be also constructed using neusis, or by allowing the use of an angle trisector. The regular enneagon has Dih9 symmetry, order 18. There are 2 subgroup
Nonagon
Natural number
is not able to be constructed with a straightedge, compass, and angle trisector. The Mathieu group M 11 {\displaystyle \mathrm {M} _{11}} is the smallest
11_(number)
U.S. state
with Missouri as the state bordering the most other states. Tennessee is trisected by the Tennessee River, and its geographical center is in Murfreesboro
Tennessee
Prime number of the form 2^u × 3^v + 1
applies to polygons that can be constructed using ruler, compass, and angle trisector, or using paper folding. Except for 2 and the Fermat primes, every Pierpont
Pierpont_prime
American mathematician and author
Elementary Number Theory (1969; 2nd ed. 1978) A Budget of Trisections (1987); revised as The Trisectors (1994) Mathematical Cranks (1992) Numerology: Or, What
Underwood_Dudley
Cubic equation unsolvable in real radicals
not classically trisectible. As an example, while a 180° angle can be trisected into three 60° angles, a 60° angle cannot be trisected with only compass
Casus_irreducibilis
Cutting a square into pieces which rearrange into 3 identical squares
In geometry, a square trisection is a type of dissection problem which consists of cutting a square into pieces that can be rearranged to form three identical
Square_trisection
Natural number
nonagon can be constructed with a regular compass, straightedge, and angle trisector. The lowest number of squares needed for a perfect tiling of a rectangle
9
Country in Central Europe
the area that Italy had annexed. The area later known as Slovenia was trisected and completely annexed into Nazi Germany and Fascist Italy during World
Slovenia
2015 live album by Van der Graaf Generator
Box (1980)* 21:30 2. "Lifetime" Trisector (2008) 5:11 3. "All That Before" Hammill, Hugh Banton, Guy Evans Trisector (2008) 7:46 4. "Bunsho" Hammill,
Merlin_Atmos
Japanese art of paper folding
straightedge constructions. For instance paper folding may be used for angle trisection and doubling the cube. Technical origami, known in Japanese as origami
Origami
Variant of the Delta IV space launch vehicle
tall. An aluminum isogrid trisector fairing, derived from a Titan IV fairing, was also available as an option. The trisector fairing was first used on
Delta_IV_Heavy
Number, approximately 1.618
the golden gnomon is trisected, the trisector again subdivides it into a smaller golden gnomon and a golden triangle. The trisector subdivides the base
Golden_ratio
Shape with seven sides
construction. It is also constructible with compass, straightedge and angle trisector. The impossibility of straightedge and compass construction follows from
Heptagon
Work of mathematical cranks
Retrieved 2019-12-11. Dudley, Underwood (1983). "What To Do When the Trisector Comes" (PDF). The Mathematical Intelligencer. 5 (1): 20–25. doi:10.1007/bf03023502
Pseudomathematics
unique situation during World War II in Europe. In addition to being trisected, a fate which also befell Greece, Drava Banovina (roughly today's Slovenia)
World War II in the Slovene Lands
World_War_II_in_the_Slovene_Lands
Quartic plane curve
is shown that ∠ Q M P {\displaystyle \angle {QMP}} and two other angles trisect ∠ P M B {\displaystyle \angle {PMB}} as follows: m ∠ Q M B = 2 α {\displaystyle
Limaçon_trisectrix
Geometric construction used in Ancient Greek mathematics
_{2}} that intersect at angle α {\displaystyle \alpha } (the subject of trisection), let A {\displaystyle A} be the point of intersection and let B {\displaystyle
Neusis_construction
Algebraic structure with addition, multiplication, and division
theory and algebraic geometry. The theory of fields proves that angle trisection and squaring the circle cannot be done with a compass and straightedge
Field_(mathematics)
2011 studio album by Van der Graaf Generator
Label Esoteric Recordings Producer Van der Graaf Generator Van der Graaf Generator chronology Trisector (2008) A Grounding in Numbers (2011) ALT (2012)
A_Grounding_in_Numbers
Cubic plane curve
plane curve notable for its trisectrix property, meaning it can be used to trisect an angle. It can be defined as locus of the point of intersection of two
Trisectrix_of_Maclaurin
Curve where spinning and moving lines cross
of mathematics have suggested that Hippias used it to solve the angle trisection problem, hence its name as a trisectrix. Later around 350 BC Dinostratus
Quadratrix_of_Hippias
In 1980 a construction was reported which enabled an angle to be trisected. Trisections are impossible under Euclidean rules. Also in 1980, Kōryō Miura
Mathematics_of_paper_folding
English–American mathematician (1860–1937)
accomplishments was the discovery and proof of the celebrated Morley's trisector theorem in elementary plane geometry. He led 50 Ph.D. students, including
Frank_Morley
Ancient Greek mathematics book
employed the Archimedean spiral in this book to square the circle and trisect an angle. Archimedes begins On Spirals with a message to Dositheus of Pelusium
On_Spirals
Communication equipment
antenna, which radiates in all directions. A typical structure is the trisector, also known as clover, in which there are three sectors served by separate
Base_transceiver_station
trisectrix curves, it can be used as an auxiliary tool to perform angle trisection with a straightedge and compass, although the use of such auxiliary tools
Deslanges_trisectrix
English musician and recording artist (born 1948)
(minus David Jackson) took place in Britain and Europe; their new album Trisector was released in March 2008. In the summer and autumn of 2008, Hammill
Peter_Hammill
Weisstein, Eric W. "Trisected Perimeter Point". MathWorld. Kimberling, C. Encyclopedia of Triangle Centers. X(369) = 1st TRISECTED PERIMETER POINT. v t
Trisected_perimeter_point
Plane figure bounded by line segments
regular form cannot be constructed with compass, straightedge, and angle trisector. However, it can be constructed with neusis. dodecagon (or duodecagon)
Polygon
Cubic plane curve
reflected in a parabolic mirror. It was used by Eugène Catalan in an angle trisection, and it appears among the geodesics of the Enneper surface. The curve
Tschirnhausen_cubic
Natural number
constructible with a compass and straight edge or with the aide of an angle trisector (since it is neither a Fermat prime nor a Pierpont prime), nor by neusis
23_(number)
Mathematical idealization of the trace left by a moving point
to both double the cube and to trisect an angle. The Archimedean spiral, studied by Archimedes as a method to trisect an angle and square the circle.
Curve
Identifier of a base station on a cell phone network
antenna, values 1, 2, and 3 are used to identify sectors of bisector or trisector antennas. In UMTS, there is a distinction between Cell ID (CID) and UTRAN
GSM_Cell_ID
Compare beehive. Placement the ball when it is hit such that it bisects or trisects the fielders placed on the field. The ball usually ends up being a four
Glossary_of_cricket_terms
Curve which could be used to trisect an angle with compass and straightedge
cannot be trisected with that type of construction. There is a variety of such curves and the methods used to construct an angle trisector differ according
Trisectrix
Problem of constructing equal-area shapes
a diameter of a circle whose centre is O. Bisect the arc ACB at C and trisect AO at T. Join BC and cut off from it CM and MN equal to AT. Join AM and
Squaring_the_circle
Plane curve: conic section
allowed in the classic rules for compass-and-straightedge constructions. To trisect ∠ A O B {\displaystyle \angle AOB} , place its leg O B {\displaystyle OB}
Parabola
Ancient geometric construction problem
of the first. As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to be impossible to construct
Doubling_the_cube
Polygon with 10000 edges
polygon. Indeed, it is not even constructible with the use of an angle trisector, as the number of sides is neither a product of distinct Pierpont primes
Myriagon
Shape with eleven sides
regular hendecagon is still impossible even with the usage of an angle trisector. Close approximations to the regular hendecagon can be constructed. For
Hendecagon
Structure within the brain
into nucleus groups is the trisection of each thalamus (left and right) by a Y-shaped internal medullary lamina. This trisection divides each thalamus into
Thalamus
Mathematical connection between field theory and group theory
antiquity cannot be solved as they were stated (doubling the cube and trisecting the angle), and characterizing the regular polygons that are constructible
Galois_theory
Polygon with 13 edges
and straightedge. However, it is constructible using neusis, or angle trisection. The following is an animation from a neusis construction of a regular
Tridecagon
Natural number
regular 193-gon can be constructed using a compass, straightedge, and angle trisector. It is part of the fourteenth pair of twin primes ( 191 , 193 ) {\displaystyle
193_(number)
Polygon with 1 million edges
polygon. Indeed, it is not even constructible with the use of an angle trisector, as the number of sides is neither a product of distinct Pierpont primes
Megagon
Number constructible via compass and straightedge
example is Archimedes' Neusis construction solution of the problem of Angle trisection.) In particular, the algebraic formulation of constructible numbers leads
Constructible_number
Group of thalamic nuclei
nucleus group is one of the three regions of the thalamus which result from trisection by the Y-shaped internal medullary lamina. The name "lateral nuclear group"
Lateral_nuclear_group
1986 book on ancient Greek mathematics by Wilbur Knorr
the Greek mathematicians: squaring the circle, doubling the cube, and trisecting the angle. It was written by Wilbur Knorr (1945–1997), a historian of
The Ancient Tradition of Geometric Problems
The_Ancient_Tradition_of_Geometric_Problems
City in Friuli-Venezia-Giulia, Italy
several large infrastructure projects were carried out. Following the trisection of Slovenia, starting from the winter of 1941, the first Slovene Partisans
Trieste
Polygon with 1000 edges
polygon. Indeed, it is not even constructible with the use of an angle trisector, as the number of sides is neither a product of distinct Pierpont primes
Chiliagon
Polygon with 14 edges
straightedge. However, it is constructible using neusis with use of the angle trisector, or with a marked ruler, as shown in the following two examples. The regular
Tetradecagon
mathematical one-uppery 1966 Jun The persistence (and futility) of efforts to trisect the angle 1966 Jul Freud's friend Wilhelm Fliess and his theory of male
List of Martin Gardner Mathematical Games columns
List_of_Martin_Gardner_Mathematical_Games_columns
Shape with three equal sides
n<28} . Morley's trisector theorem states that, in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral
Equilateral_triangle
Greater Lucknow in Uttar Pradesh, India
Nagar at the Indira Nagar trisection Polytechnic crossing along an elevated route. The planned stations were Indira Nagar Trisection, West End Mall [Wave Multiplex]
Gomti_Nagar
Village in Larnaca District, Cyprus
Cyprus. It is situated where the roads from Nicosia, Larnaca and Limassol trisected, prior to the by-pass built in the 1990s. Cyprus was invaded and conquered
Kofinou
Present Release date: 25 April 2005 Label: Charisma 103 100 — 34 2008 Trisector Release date: 17 March 2008 Label: Virgin/EMI — — — 83 2011 A Grounding
Van der Graaf Generator discography
Van_der_Graaf_Generator_discography
Theorem in geometry
of forming another quadrilateral from a given quadrilateral Morley's trisector theorem, a related theorem on triangles Peter N. Oliver: Pierre Varignon
Varignon's_theorem
1897 proposed law to define squaring the circle
recitation of Goodwin's previous accomplishments: ... his solutions of the trisection of the angle, doubling the cube and quadrature of the circle having been
Indiana_pi_bill
Armoured division of the British Army
World War, the insignia became the "pattern of three" — a black triangle trisected by an inverted red triangle. The division was part of the Allied British
3rd_(UK)_Division
Spiral with constant distance from itself
Archimedean spiral. Archimedes also showed how the spiral can be used to trisect an angle. Both approaches relax the traditional limitations on the use
Archimedean_spiral
Ancient Greek mathematician (fl. 300 BC)
Platonic solid Regular polygon Straightedge and compass construction Angle trisection Doubling the cube Squaring the circle Quadratrix of Hippias Neusis construction
Euclid
Figure formed by two rays meeting at a common point
of equal measure) using only a compass and straightedge but could only trisect certain angles. In 1837, Pierre Wantzel showed that this construction could
Angle
County-level city in Sichuan, China
county-level city in the northeast of Sichuan province, China, located near the trisection of Sichuan, Chongqing, and Shaanxi. Tamping Township is its municipality
Wanyuan
South Slavic ethnic group
were in a unique situation. While Greece shared its experience of being trisected, Slovenia was the only country that experienced a further step—absorption
Slovenes
Geometry emanating from Egypt
its circumscribing square. This problem's result is used in problem 50. Trisect each side. Remove the corner triangles. The resulting octagonal figure
Egyptian_geometry
Communist-led anti-Axis resistance in World War II
unique situation in Europe. Only Greece shared its experience of being trisected; however, Slovenia was the only country that experienced a further step
Yugoslav_Partisans
March 2008 Meshuggah ObZen Sweden 17 March 2008 Van der Graaf Generator Trisector England 11 April 2008 Asia Phoenix England 12 April 2008 Cog Sharing Space
Timeline of progressive rock (2000–2009)
Timeline_of_progressive_rock_(2000–2009)
Number divisible only by 1 and itself
n} -gon may be constructed using straightedge, compass, and an angle trisector if and only if the prime factors of n {\displaystyle n} are any number
Prime_number
9th-century Persian scholars
al-zāwiyah ("Reasoning on the Trisection of an Angle"), by Aḥmad; The treatise attempted to solve the classical problem of trisecting an angle. The manuscript
Banū_Mūsā_brothers
Polyhedron with four faces
Geometry, Macmillan, pp. 294–295 Cundy 1952. Coxeter, H.S.M. (1989). "Trisecting an Orthoscheme". Computers Math. Applic. 17 (1–3): 59–71. doi:10
Tetrahedron
5th century BC Greek sophist
Robertson, Edmund F., "Hippias", MacTutor History of Mathematics Archive, University of St Andrews Hippias' Attempt to Trisect an Angle at Convergence
Hippias
Capital town and most populous parish of Jersey
space in the south of town. The modern space consists of three squares, trisected by La Route de la Libération and the Esplanade. The Weighbridge is notable
St_Helier
Technique of surgical cataract extraction
the endothelium and capsule are also vulnerable to injury. Bisection, trisection and fragmentation into more pieces is possible, but all must be removed
Manual small incision cataract surgery
Manual_small_incision_cataract_surgery
Prefecture-level city in Jiangxi, People's Republic of China
Republic of China, bordering Fujian to the southeast. Its location near the trisection of Jiangxi, Fujian, and Zhejiang has made it a strategically important
Yingtan
Indian mathematician (1871–1940)
(1871–1940) was an Indian mathematician. He first proved in 1909 the Morley's trisector theorem after it was posed in 1899 by Frank Morley. He was the president
M._T._Naraniengar
Triangle centers found by trisecting each vertex
intersections of the adjacent angle trisectors of triangle △ABC. △DEF is called the Morley triangle of △ABC. Morley's trisector theorem states that the Morley
Morley_centers
Joint venture of Lockheed Martin and Boeing
available. The aluminum trisector (three-part) fairing was built by Boeing and derived from a Titan IV fairing. The trisector fairing was first used on
United_Launch_Alliance
Category of mathematical proof
constructed by compass and straightedge. Two other classical problems—trisecting the general angle and doubling the cube—were also proved impossible in
Proof_of_impossibility
Line intersecting both a vertex and opposite edge of a triangle
medians. If from each vertex of a triangle two cevians are drawn so as to trisect the angle (divide it into three equal angles), then the six cevians intersect
Cevian
construction of angle trisection to the algebraic problem of solving a cubic equation, which allows one to prove that trisection is in general impossible
List of trigonometric identities
List_of_trigonometric_identities
Full contact outdoor men's team sport
then the midfield area, followed by the attack or offensive area. These trisecting lines are called "restraining lines." A right angle line is marked 10
Field_lacrosse
Topics referred to by the same term
Morley's theorem may refer to: Morley's trisector theorem, a theorem in geometry, discovered by Frank Morley Morley's categoricity theorem, a theorem
Morley's_theorem
Triangles without a right angle
formed from any triangle by the intersections of its adjacent angle trisectors, is equilateral and hence acute. The golden triangle is the isosceles
Acute_and_obtuse_triangles
their proofs that straight edge and compass alone are not sufficient to trisect an arbitrary angle, to construct the side of a cube twice the volume of
History_of_mathematics
Regular polygon that can be constructed with compass and straightedge
polygon with n sides can be constructed with ruler, compass, and angle trisector if and only if n = 2 r 3 s p 1 p 2 ⋯ p k , {\displaystyle n=2^{r}3^{s}p_{1}p_{2}\cdots
Constructible_polygon
Rules related to the mathematical principles of origami
origametry, can solve third-degree equations, and solve problems such as angle trisection and doubling of the cube. The construction of the fold guaranteed by Axiom
Huzita–Hatori_axioms
Multi-lobed plane curve
used to trisect angles. A rose with k = 1/3 is a limaçon trisectrix that has the property of trisectrix curves that can be used to trisect angles. The
Rose_(mathematics)
Island in Nanao Bay, Japan
part of Nanao city. The two bridges connecting Notojima to the mainland trisect Nanao Bay into Nanao-North, Nanao-West and Nanao-Nambu bays. The island's
Notojima
1759 battle of the Seven Years' War
the inadequately-scouted terrain. Two small ponds and several streams trisected the ground between the Prussian front and the Russians, which the Russians
Battle_of_Kunersdorf
English rock band formed in 1967
and was released on DVD and CD that June. The first trio recording, Trisector, was released on 17 March 2008. Live concerts were played in Europe in
Van_der_Graaf_Generator
Type of isosceles triangle
triangle can be subdivided into a golden triangle and a golden gnomon. By trisecting its apex angle, a golden gnomon can be subdivided into a golden triangle
Golden_triangle_(mathematics)
tied with Missouri as the state bordering the most other states. It is trisected by the Tennessee River, and its geographical center is in Murfreesboro
Geography_of_Tennessee
Self-governing Palestinian areas in the Israeli-occupied West Bank
Part of the southern West Bank; A central area around Ramallah, almost trisected by a number of Israeli settlements; A northern area including Nablus,
Palestinian_enclaves
TRISECTOR
TRISECTOR
TRISECTOR
TRISECTOR
Female
Chinese
clear halo.
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
Earth
Female
Scandinavian
Scandinavian form of Old Norse Ingigerðr, INGEGERD means "Ing's enclosure."
Girl/Female
Hindu, Indian
Always Happy; Joyful
Boy/Male
Christian, German, Hindu, Indian
Bold Protector
Boy/Male
Hindu
Lotus stem
Surname or Lastname
English
English : variant of Ismay, from a medieval female personal name of uncertain origin.
Biblical
contempt; abomination
Biblical
the grace that comes from God; gift of God
Boy/Male
British, English, French, Gaelic, Latin
Old Variant Form of Gilde; Earthen; Form of Gillian
TRISECTOR
TRISECTOR
TRISECTOR
TRISECTOR
TRISECTOR