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Property of geometry, also used to generalize the notion of "distance" in metric spaces
triangle ABC is constructed with equal sides AB = AC. From the triangle postulate, the angles in the right triangle ADC satisfy: α + γ = π / 2 . {\displaystyle
Triangle_inequality
Postulate in geometry
In geometry, the segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances
Segment_addition_postulate
Part of a line that is bounded by two distinct end points; line with two endpoints
sets, to the analysis of a line segment. The segment addition postulate can be used to add congruent segment or segments with equal lengths, and consequently
Line_segment
Statement that is taken to be true
An axiom, postulate, or assumption, is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments
Axiom
Mathematical model of the physical space
intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. One of those is the parallel postulate which relates to parallel
Euclidean_geometry
Fundamental result in geometry
triangle postulate states that the sum of the angles of a triangle is two right angles. This postulate is equivalent to the parallel postulate. In the
Sum_of_angles_of_a_triangle
Figure formed by two rays meeting at a common point
or half the full angle was attributed the value of 180. The angle addition postulate states that if D is a point lying in the interior of ∠ BAC {\displaystyle
Angle
Mathematical treatise by Euclid
Euclid used a premise that was neither postulated nor proved: that two circles sharing the same line segment as a radius will cross each other in two
Euclid's_Elements
Relationship between two figures of the same shape and size, or mirroring each other
sides are equal in length, then the triangles are congruent. The ASA postulate is attributed to Thales of Miletus. In most systems of axioms, the three
Congruence_(geometry)
Axioms for the natural numbers
(/piˈɑːnoʊ/; [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th-century Italian
Peano_axioms
Study of geometries as axiomatic systems
Ruler Postulate, the Ruler Placement Postulate, the Plane Separation Postulate, the Angle Addition Postulate, the Side angle side (SAS) Postulate, the
Foundations_of_geometry
combination of five parameters. In addition to a discourse relation inventory, some (but not all) theories postulate structural constraints on discourse
Discourse_relation
90° angle (π/2 radians)
angles are called complementary if their sum is a right angle. Book 1 Postulate 4 states that all right angles are equal, which allows Euclid to use a
Right_angle
Basis for Euclidean geometry
{\displaystyle {\overline {AB}}\cong {\overline {CD}}} — segment congruence, stating that the segments A B {\displaystyle AB} and C D {\displaystyle CD} are
Hilbert's_axioms
Method of drawing geometric objects
the only permissible constructions are those granted by the first three postulates of Euclid's Elements. It turns out to be the case that every point constructible
Straightedge and compass construction
Straightedge_and_compass_construction
Fundamental space of geometry
to prove (parallel postulate). After the introduction at the end of the 19th century of non-Euclidean geometries, the old postulates were re-formalized
Euclidean_space
Polymerization process involving free radicals as repeating units
monomer. For addition of monomer 2 to a growing polymer chain whose active end is the radical of monomer 1, the rate constant, k12, is postulated to be related
Radical_polymerization
Partitioning a digital image into segments
segmentation is the process of partitioning a digital image into multiple image segments, also known as image regions or image objects (sets of pixels). The goal
Image_segmentation
of physical principles, ranging from Maxwell's equations to Einstein's postulates of special relativity, and mathematical tools, spanning from elementary
Derivations of the Lorentz transformations
Derivations_of_the_Lorentz_transformations
Repeated openings that appear along the pharynx of chordates
pharyngeal slits. It is postulated that this is how pharyngeal slits first assisted in filter-feeding, and later, with the addition of gills along their
Pharyngeal_slit
Relation used in geometry
the same length). Parallel lines are the subject of Euclid's parallel postulate. Parallelism is primarily a property of affine geometries and Euclidean
Parallel_(geometry)
Overview of and topical guide to geometry
Interactive geometry software Involutes Goat grazing problem Parallel postulate Polygon Star polygon Pick's theorem Shape dissection Bolyai–Gerwien theorem
Outline_of_geometry
Relation between sides of a right triangle
requires the triangle postulate: The sum of the angles in a triangle is two right angles, and is equivalent to the parallel postulate. Similarity of the
Pythagorean_theorem
Axiom set used in first-order logic
remaining Tarski's axioms, and indeed equivalent to Euclid's parallel postulate. A: ( ( B x y w ∧ x y ≡ y w ) ∧ ( B x u v ∧ x u ≡ u v ) ∧ ( B y u z ∧
Tarski's_axioms
Musical composition method
retrograde form, and RI1 of the retrograde-inverted form). (In Hauer's system postulate 3 does not apply.) A particular transformation (prime, inversion, retrograde
Twelve-tone_technique
Persian polymath and poet (1048–1131)
min muṣādarāt kitāb Uqlīdis (Explanations of the difficulties in the postulates of Euclid). As an astronomer, he calculated the duration of the solar
Omar_Khayyam
Geometry without using coordinates
for proving all results from a few basic properties, initially called postulates and at present called axioms. After the 17th-century introduction by René
Synthetic_geometry
Deviation from the apparently intended form of an utterance
Fromkin points out that "many of the segments that change and move in speech errors are precisely those postulated by linguistic theories." Consequently
Speech_error
Semiconductor light source
used as indicator lamps, replacing small incandescent bulbs, and in seven-segment displays. Later developments produced LEDs available in visible, ultraviolet
Light-emitting_diode
Mathematical concept
infinite". There is a similar controversy concerning Euclid's parallel postulate, sometimes translated: If a straight line falling across two [other] straight
Infinity
Yoruba religious concept
In Yoruba religion, aṣẹ, àṣẹ, aṣe, ase, or ashe is a postulated natural force or power that creates, catalyzes or facilitates change in the natural world
Aṣẹ
Algebraic ring that need not have additive negative elements
{Q}}} , which removes induction but adds back the predecessor existence postulate, does not prove the monoid axiom ∀ y . ( 0 + y = y ) {\displaystyle \forall
Semiring
1842 treatise by Christian Doppler
Himmels) is a treatise written by Christian Doppler in 1842 , in which he postulated his principle that the observed frequency changes were due to the motion
On the coloured light of the binary stars and some other stars of the heavens
On_the_coloured_light_of_the_binary_stars_and_some_other_stars_of_the_heavens
Basic notion of sameness in mathematics
showed a contradiction of naive set theory, it was shown that the parallel postulate cannot be proved, the existence of mathematical objects that cannot be
Equality_(mathematics)
Supplement contamination causing kidney injury and death
possibility that the "unknown substance" was puberulic acid was first postulated. The Japanese Society of Nephrology conducted a survey of doctors and
Kobayashi red yeast rice scandal
Kobayashi_red_yeast_rice_scandal
Medieval Arab scholar (c. 830–901)
the knowledge of Euclid's fifth postulate. This postulate states that the intersection between two straight line segments combine to create two interior
Thābit_ibn_Qurra
changing segment identity during development. For example, the Ultrabithorax genotype gives a phenotype wherein metathoracic and first abdominal segments become
Homeosis
Belief that there is only one God
monotheism, in which multiple gods or godly forms are recognized, but each are postulated as extensions of the same God. Monotheism is distinguished from henotheism
Monotheism
Philippine national radio program
the hosts and Radyo5 92.3 News FM, and Super Radyo DZBB, while others postulated a possible split with Baja eyeing to move to DWIZ. However, reported talks
Dos_por_Dos
Linguistic law
Heups, and Köhler demonstrated using quantitative methods that this postulate can also be applied to larger constructs of natural language: the larger
Menzerath's_law
Type of white blood cell
where other cells/molecules cannot. Neutrophils may be subdivided into segmented neutrophils and banded neutrophils (or bands). They form part of the polymorphonuclear
Neutrophil
Directed movement of body parts to accomplish an action
hands), it was found that the functional segments of the two hands are tightly synchronized. One of the postulated theories for this functionality is the
Motor_coordination
Enzyme that catalyzes movement of transposable elements
transposition of the Tn3 transposon. The existence of transposons was postulated in the late 1940s by Barbara McClintock, who was studying the inheritance
Transposase
Family of insects
bloodsucking probably preceded warm bloodsucking, but some dinosaurs are postulated to have been warm-blooded and may have been early hosts for the horse-flies
Tabanidae
Axiomatic set theories based on the principles of mathematical constructivism
definability exist. The property is also enforced via the constructible universe postulate in Z F + ( V = L ) {\displaystyle {\mathsf {ZF}}+({\mathrm {V} }={\mathrm
Constructive_set_theory
Historical development of geometry
very old problem of proving Euclid's Fifth Postulate, the "Parallel Postulate", from his first four postulates had never been forgotten. Beginning not long
History_of_geometry
Medical condition
the so-called iridocorneal or anterior segment dysgenesis syndromes, which were formerly known as anterior segment cleavage syndromes, anterior chamber
Axenfeld–Rieger_syndrome
Fundamental object of geometry
line segment.[citation needed] In addition to defining points and constructs related to points, Euclid also postulated a key idea about points, that any
Point_(geometry)
Australian educational children's television show (1972-1990) and YouTube channel
prepared earlier" so as to keep the segment moving. Hutton's catchphrase, after presenting a hypothesis he postulates the audience may be curious about
The_Curiosity_Show
Technology used to validate protein interactions
attached to components of the same macromolecular complex. Proteins that are postulated to interact are fused to unfolded complementary fragments of a fluorescent
Bimolecular fluorescence complementation
Bimolecular_fluorescence_complementation
Large geographical region identified by convention
idea of continental drift gained recognition in the 20th century. It postulates that the current continents formed from the breaking up of a supercontinent
Continent
Historic house in Massachusetts, United States
highest promontory overlooking the Atlantic Ocean. Although local rumors postulate that Mrs. Crane’s displeasure with the villa led to its eventual destruction
Castle Hill (Ipswich, Massachusetts)
Castle_Hill_(Ipswich,_Massachusetts)
Phenomenon in which people speak words apparently in languages unknown to them
glossolalia could cause adherents to recall past lives. Glossolalia has been postulated as an explanation for the Voynich manuscript. In the 19th century, Spiritism
Speaking_in_tongues
Viral disease in animals
variants during transmission between susceptible animals and vectors, is postulated to be the primary driver of the genetic diversity observed in BTV field
Bluetongue_disease
Framework of superstring theory
ten- or eleven-dimensional spacetime of string or M-theory, physicists postulate a shape for the extra dimensions. By choosing this shape appropriately
M-theory
Algebraic manipulation of "true" and "false"
Instead of showing that the Boolean laws are satisfied, we can instead postulate a set X, two binary operations on X, and one unary operation, and require
Boolean_algebra
Aromatic resin from Boswellia trees
regard to Arabic, Phoenician, Hebrew, and Vulgar Latin: lĭbănus. This is postulated to be because they both derive from the word for 'white' and that the
Frankincense
Aqueduct in California, United States
sealant and 85,000 cubic yards of riprap. Restoring the canal has been postulated to provide an increase of local jobs to an economically depressed region
Friant-Kern_Canal
Tibetan writing system
existed but in any case do not appear to be widely used. Researchers postulate that Tibetan kings sought to develop a system of writing as their territory
Tibetan_script
East Asian ethnic group
spherical and wrote of planetary motions such as retrogradation as well as postulating theories for the processes of geological land formation. Medieval Han
Han_Chinese
endpoint meter data, along with supporting algorithms to speculate and postulate occurrences and needs within the “heart of the grid”, it is evident that
Distribution Transformer Monitor
Distribution_Transformer_Monitor
Body part used by insects to fly
gill theory and the dual theory of insect wing evolution. These theories postulate that wings either developed from paranotal lobes, extensions of the thoracic
Insect_wing
Internet-like structure connecting everyday physical objects
like vehicles and shipping containers. The largest asset tracking sub-segments in transport & logistics are trailer and intermodal container tracking
Internet_of_things
Type of vowel system
Zero-dimensional vowel systems, with one phonemic vowel only, have been postulated for Nuxálk,[citation needed] Kabardian,[citation needed] and some Abkhaz
Vertical_vowel_system
1912 maritime disaster
until the double bottom failed and both segments of the ship finally separated. The Mengot theory postulates that the ship broke from compression forces
Sinking_of_the_Titanic
1937 airship fire in the US
residue from the depolarizing element of a small, dry battery". (Hoehling postulated that a dry cell battery could have powered a flashbulb in an incendiary
Hindenburg_disaster
Limitative results in mathematical logic
geometry without the parallel postulate is incomplete, because some statements in the language (such as the parallel postulate itself) can not be proved from
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
2009 aircraft accident in the Atlantic Ocean
analyzed ACARS messages among weather patterns and limited debris data to postulate that supercooled water blocked pitot tubes, causing most automatic systems
Air_France_Flight_447
Proposal regarding Western European languages
hypothesis: [The words] are segmented arbitrarily and some segments are explained poorly, others are not explained at all. In addition, the elements -ingen,
Vasconic_substrate_hypothesis
Theory of subatomic structure
apparent contradiction between Hawking's calculation and the unitarity postulate of quantum mechanics came to be known as the black hole information paradox
String_theory
2003 film by Tommy Wiseau
dealing with additional themes of trust, fear and truth. Sestero further postulates that Wiseau based Lisa's explicit conniving on the character Tom Ripley
The_Room
Great Lakes freighter sunk in Lake Superior
Fitzgerald and would have struck about the time she sank. This hypothesis postulates that the "three sisters" compounded the twin problems of Edmund Fitzgerald's
SS_Edmund_Fitzgerald
Mammalian protein found in Homo sapiens
activity hypothesized in murine TdTL is found in human and bovine TdTL, some postulate that bovine and human TdTL isoforms regulate TdTS isoforms in a similar
Terminal deoxynucleotidyl transferase
Terminal_deoxynucleotidyl_transferase
Country in North America
international organizations and forums. While a variety of theories have been postulated for the etymological origins of Canada, the name is now accepted as coming
Canada
Dual-process theory of persuasion
making by occurring simultaneously (p. 328). Unlike HSM, ELM does not postulate whether central route processing and peripheral route processing can co-occur
Heuristic-systematic model of information processing
Heuristic-systematic_model_of_information_processing
Experimental constructed language
philosophical categories. However, strong forms of the hypothesis, which postulate that language determines thought and not only influences it, have been
Ithkuil
Pair of small club-shaped insect organs
responsible for sensing body rotations. The original balancer theory, which was postulated by Pringle (1948), only accounted for forces produced in two directions
Halteres
Continent
expanded with their knowledge. Other etymological hypotheses have been postulated for the ancient name "Africa": The 1st-century Jewish historian Flavius
Africa
US-based international cable and satellite TV channel
Television division of the Walt Disney Company's Disney Entertainment segment. The network was originally focused on history-based, social/science documentaries
History_Channel
Mixed-race people of Spanish colonial regions in the 17th and 18th centuries
refers to a now-discredited 20th-century theoretical framework which postulated that colonial society operated under a hierarchical race-based "caste
Casta
Euclidean geometry without distance and angles
infinity. In affine geometry, there is no metric structure but the parallel postulate does hold. Affine geometry provides the basis for Euclidean structure
Affine_geometry
Atmospheric electrical phenomenon
lightning: Spinning electric dipole hypothesis. A 1976 article by V. G. Endean postulated that ball lightning could be described as an electric field vector spinning
Ball_lightning
English actor and writer (1893–1943)
Intelligence for the western hemisphere during the Second World War, Stephenson postulated that the Germans knew about Howard's mission and ordered the aircraft
Leslie_Howard
Phonetic change of /t/ and /d/ between vowels
boundaries within compound words (as in whatever [ˌwʌɾˈɛvɚ]). In addition to vowels, segments that may precede the flap include /r/ (as in party) and occasionally
Flapping
Algorithm for shuffling a finite sequence
the algorithm, n n {\displaystyle n^{n}} . In particular, by Bertrand's postulate there will be at least one prime number between n / 2 {\displaystyle n/2}
Fisher–Yates_shuffle
Pay and benefits for upper management
tolerated as gadflies, but "expected to step down". Authors Bebchuk and Fried postulate that the "agency" problem or "agency cost", of executives power over directors
Executive compensation in the United States
Executive_compensation_in_the_United_States
Invertebrates and vertebrates living in soil
conditions, restoring fully active metabolism with a few hours. It can thus be postulated that, contrary to most other soil invertebrates, soil microfauna will
Soil_animals
Head movement in rodents upon 5-HT2A receptor activation
the mechanism of action for many psychedelic compounds, and McCorvy has postulated that there is a threshold for Gq activation at which hallucinations are
Head-twitch_response
Extinct branch of Zoroastrianism
passages gave rise to a need to postulate a father for the postulated literal "brothers". Hence Zurvanism postulated a preceding parent deity that existed
Zurvanism
was an attempt to domesticate this animal, but it is more reasonable to postulate selective hunting that did not lead to domestication. The Natufian period
Origins of agriculture in West Asia
Origins_of_agriculture_in_West_Asia
1993 American comedy film by Harold Ramis
time loop on the planet Punxsutawnee. Writing for IGN, Michael Swaim postulated that since Groundhog Day popularized the time loop narrative, it had increased
Groundhog_Day_(film)
2007 mortgage crisis in the United States
"less than a decade, a period when house prices soared". In addition the model – which postulated that the correlation of default risks among loans in securitization
Subprime_mortgage_crisis
Extinct tiger population in Central and West Asia
Marker; P. J. Nyhus; R. Tilson; D. W. Macdonald & O'Brien, S. J. (2012). "A postulate for tiger recovery: the case of the Caspian Tiger". Journal of Threatened
Caspian_tiger
Medical procedures that involve incisive or invasive instruments into body cavities
tissue. A segmental resection specifically removes an independent vascular region of an organ such as a hepatic segment, a bronchopulmonary segment or a renal
Surgery
Proposed alternative scenarios related to abiogenesis
same conditions, dipeptides were quickly broken down. Several models postulate a primitive metabolism, allowing RNA replication to emerge later. The
Alternative abiogenesis scenarios
Alternative_abiogenesis_scenarios
School of philosophical thought
continuation of the 16th-century Reformed theology of John Calvin, who postulated a sensus divinitatis, an innate divine awareness of God's presence. More
Reformed_epistemology
Accumulation of mutations
lengthwise-opened segment of the colon that may represent a large field defect in which there is a colon cancer and four polyps. The four polyps, in addition to the
Somatic_evolution_in_cancer
Group of autoantibodies
exposure to silicates. Two possible mechanisms of ANCA development are postulated, although neither of these theories answers the question of how the different
Anti-neutrophil cytoplasmic antibody
Anti-neutrophil_cytoplasmic_antibody
Religious minority of the Palestinian people
1990s, an estimate by Professor Bernard Sabella of Bethlehem University postulated that approximately 6.5% of the global Palestinian population was Christian
Palestinian_Christians
Ancient Egyptian funerary text used in Mormon scripture
given in the book of Abraham". Given this, some Mormon apologists have postulated that the Book of Abraham manuscript was appended to the end of this scroll
Breathing_Permit_of_Hôr
SEGMENT ADDITION-POSTULATE
SEGMENT ADDITION-POSTULATE
Boy/Male
American, Anglo, Australian, British, Christian, English, Hebrew, Indian, Jamaican
Son of the Red Earth; In the Bible God Created Adam-the First Man-out of the Red Earth and Breathed Life into Him; Child of Adam; Son of Adam
Boy/Male
Arabic, Muslim
Increase; Addition; Surplus; Plenty
Girl/Female
Arabic, Muslim
Addition; Surplus; Increase; Growth
Boy/Male
Gujarati, Indian, Kannada, Punjabi, Sikh
Margin; Limit
Boy/Male
Indian, Sikh
Swords Lover
Male
English
Son of Adam
Boy/Male
Tamil
Ambition
Male
Swiss
, addition.
Surname or Lastname
English (Devon and Cornwall)
English (Devon and Cornwall) : patronymic from Seaman.English (Devon and Cornwall) : variant of Simmons.
Male
Swiss
, addition.
Female
Swiss
, addition.
Girl/Female
American, Australian, Chinese, Jamaican
Child of Adam
Surname or Lastname
English and French
English and French : variant of Sargent.Americanized form of the Polish Jewish ornamental name Sieṛzant ‘sergeant’ (senior noncommissioned officer in the Polish infantry).
Male
English
Old English surname transferred to unisex forename use, ADDISON means "son of Adam."Â
Female
Swiss
, addition.
Boy/Male
Sikh
Margin, Limit, Light
Boy/Male
Biblical American Hebrew
Increase; addition.
Boy/Male
English American
Son of Adam.
Surname or Lastname
English
English : variant of Beaumont.
Female
Egyptian
, the wife of King Her-hor-si-amen.
SEGMENT ADDITION-POSTULATE
SEGMENT ADDITION-POSTULATE
Surname or Lastname
English
English : It has been proposed that this may be a variant of Cliburn, but the latter is a northwestern English name whereas Claiborne is found mostly in Norfolk and the southeast, so it is more probably from a lost place in that part of England, perhaps named with Old English clǣg ‘clay’ + burne ‘spring’, ‘stream’.William Claiborne (c.1600–77) was a founding colonist in VA. His descendant, William Charles Claiborne (1775–1817) was the first governor of LA.
Girl/Female
Tamil
A bond between friendship and Love
Girl/Female
Tamil
Shadow
Female
Egyptian
, the daughter of King Snefru.
Boy/Male
Arabic
Music Practice; Increase
Boy/Male
Muslim
Canvas
Boy/Male
Indian, Punjabi, Sikh
Lord's Light
Boy/Male
Indian
A prophets name
Surname or Lastname
English
English : variant of Brook.Americanized form of Dutch Brugman.
Girl/Female
Greek Latin
Dark.
SEGMENT ADDITION-POSTULATE
SEGMENT ADDITION-POSTULATE
SEGMENT ADDITION-POSTULATE
SEGMENT ADDITION-POSTULATE
SEGMENT ADDITION-POSTULATE
v. t.
To form into a regiment or into regiments.
a.
Relating to, or being, a segment.
v. t. & i.
To ferment, or cause to ferment, again.
n.
Anything added; increase; augmentation; as, a piazza is an addition to a building.
n.
A literary work edited and published, as by a certain editor or in a certain manner; as, a good edition of Chaucer; Chalmers' edition of Shakespeare.
n.
See Ledgment.
v. i.
To wind like a serpent; to crook about; to meander.
a.
Divided into segments or joints; articulated.
v. t.
To add an augment to.
n.
A piece in the form of the sector of a circle, or part of a ring; as, the segment of a sectional fly wheel or flywheel rim.
n.
A tegument or covering.
n.
A segment gear.
n.
A part cut off from a figure by a line or plane; especially, that part of a circle contained between a chord and an arc of that circle, or so much of the circle as is cut off by the chord; as, the segment acb in the Illustration.
a.
Added; supplemental; in the way of an addition.
n.
To overlay or coat with cement; as, to cement a cellar bottom.
a.
Of or pertaining to the segmental organs.
a.
Of or pertaining to the segments of animals; as, a segmental duct; segmental papillae.
n.
One of the parts into which any body naturally separates or is divided; a part divided or cut off; a section; a portion; as, a segment of an orange; a segment of a compound or divided leaf.
n.
Enlargement by addition; increase.