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English-Thai Dictionary

geometric progression

N อนุกรม เรขาค ณิต  ar-nu-kom-le-ka-ka-nid

 

geometrical

A เกี่ยวกับ เรขาค ณิต  geometric

 

geometrician

N นัก เรขาค ณิต  nak-la-ka-ka-nid

 

Webster's 1828 Dictionary

GEOMETRIC, GEOMETRICAL

a.[Gr. ] Pertaining to geometry. 1. According to the rules or principles of geometry; done by geometry.
2. Disposed according to geometry.
Geometrical progression, is when the terms increase or decrease by equal ratios; as 2, 4, 8, 16, 32 or 32, 16, 8, 4, 2.

 

GEOMETRICALLY

adv. According to the rules or laws of geometry.

 

GEOMETRICIAN

n.One skilled in geometry; a geometer.

 

Webster's 1913 Dictionary

GEOMETRIC; GEOMETRICAL

Ge `o *met "ric, Ge `o *met "ric *al, a. Etym: [L. geometricus; Gr. géométrique. ]

 

Defn: Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.

 

Note: Geometric is often used, as opposed to algebraic, to include processes or solutions in which the propositions or principles of geometry are made use of rather than those of algebra.

 

Note: Geometrical is often used in a limited or strictly technical sense, as opposed to mechanical; thus, a construction or solution is geometrical which can be made by ruler and compasses, i. e., by means of right lines and circles. Every construction or solution which requires any other curve, or such motion of a line or circle as would generate any other curve, is not geometrical, but mechanical. By another distinction, a geometrical solution is one obtained by the rules of geometry, or processes of analysis, and hence is exact; while a mechanical solution is one obtained by trial, by actual measurements, with instruments, etc. , and is only approximate and empirical. Geometrical curve. Same as Algebraic curve; -- so called because their different points may be constructed by the operations of elementary geometry. -- Geometric lathe, an instrument for engraving bank notes, etc. , with complicated patterns of interlacing lines; -- called also cycloidal engine. -- Geometrical pace, a measure of five feet. -- Geometric pen, an instrument for drawing geometric curves, in which the movements of a pen or pencil attached to a revolving arm of ajustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm. -- Geometrical plane (Persp.), the same as Ground plane. -- Geometrical progression, proportion, ratio. See under Progression, Proportion and Ratio. -- Geometrical radius, in gearing, the radius of the pitch circle of a cogwheel. Knight. -- Geometric spider (Zoöl.), one of many species of spiders, which spin a geometrical web. They mostly belong to Epeira and allied genera, as the garden spider. See Garden spider. -- Geometric square, a portable instrument in the form of a square frame for ascertaining distances and heights by measuring angles. -- Geometrical staircase, one in which the stairs are supported by the wall at one end only. -- Geometrical tracery, in architecture and decoration, tracery arranged in geometrical figures.

 

GEOMETRICALLY

GEOMETRICALLY Ge `o *met "ric *al *ly, adv.

 

Defn: According to the rules or laws of geometry.

 

GEOMETRICIAN

GEOMETRICIAN Ge *om `e *tri "cian, n.

 

Defn: One skilled in geometry; a geometer; a mathematician.

 

New American Oxford Dictionary

geometric

ge o met ric |ˌjēəˈmetrik ˌʤiəˈmɛtrɪk | adjective 1 of or relating to geometry, or according to its methods. 2 (of a design ) characterized by or decorated with regular lines and shapes: traditional Hopi geometric forms. ( Geometric ) Archaeology of or denoting a period of Greek culture (around 900 –700 bc ) characterized by geometrically decorated pottery. DERIVATIVES ge o met ri cal adjective, ge o met ri cal ly |-ik (ə )lē |adverb ORIGIN mid 17th cent.: via French from Latin geometricus, from Greek geōmetrikos, from geōmetrēs (see geometer ).

 

geometric isomer

ge o met ric i so mer (also geometrical isomer ) noun Chemistry each of two or more compounds that differ from each other in the arrangement of groups with respect to a double bond, ring, or other rigid structure. DERIVATIVES ge o met ric i som er ism noun

 

geometric mean

ge o met ric mean |ˌʤiəˈmɛtrɪk min | noun the central number in a geometric progression (e.g., 9 in 3, 9, 27 ), also calculable as the n th root of a product of n numbers.

 

geometric progression

ge o met ric pro gres sion |ˌʤiəˈmɛtrɪk prəˈɡrɛʃən | noun a progression of numbers with a constant ratio between each number and the one before (e.g., each subsequent number is increased by a factor of 3 in the progression 1, 3, 9, 27, 81 ).

 

geometrics

ge o met rics |ˌjēəˈmetriks ˌʤiəˈmɛtrɪks | plural noun straight lines and simple geometric shapes, e.g., circles and squares, used together to form a design or pattern: their high-quality sheets in florals, classic solids, and bold geometrics can transform the look and feel of a room.

 

geometric series

ge o met ric se ries noun a series of numbers or quantities in geometric progression.

 

Oxford Dictionary

geometric

geometric |ˌdʒɪəˈmɛtrɪk | adjective 1 relating to geometry, or according to its methods. 2 characterized by or decorated with regular lines and shapes: a geometric pattern. ( Geometric ) Archaeology relating to or denoting a period of Greek culture (around 900 –700 bc ) characterized by geometrically decorated pottery. ( Geometric or Geometrical ) Architecture relating to or denoting a style of Early English tracery based on the geometry of circles. noun a geometric pattern. DERIVATIVES geometrical adjective, geometrically adverb ORIGIN mid 17th cent.: via French from Latin geometricus, from Greek geōmetrikos, from geōmetrēs (see geometer ).

 

geometrical isomer

geometrical isomer (also geometric isomer ) noun Chemistry each of two or more compounds which differ from each other in the arrangement of groups with respect to a double bond, ring, or other rigid structure. DERIVATIVES geometrical isomerism noun

 

geometrical series

geo |met ¦ric ¦al ser ¦ies noun a series of numbers or quantities in geometric progression.

 

geometric mean

geo |met ¦ric mean noun the central number in a geometric progression (e.g. 9 in 3, 9, 27 ), also calculable as the nth root of a product of n numbers.

 

geometric progression

geo |met ¦ric pro |gres ¦sion noun a progression of numbers with a constant ratio between each number and the one before (e.g. 1, 3, 9, 27, 81 ).

 

geometrics

ge o met rics |ˌjēəˈmetriks ˌʤiəˈmɛtrɪks | plural noun straight lines and simple geometric shapes, e.g., circles and squares, used together to form a design or pattern: their high-quality sheets in florals, classic solids, and bold geometrics can transform the look and feel of a room.

 

Spanish Dictionary

geométricamente

geométricamente adverbio Conforme a los procedimientos de la geometría :como consecuencia de la teoría concéntrica expresada geométricamente, surgió la teoría de los gradientes .

 

geométrico, -ca

geométrico, -ca adjetivo 1 De la geometría o relacionado con ella :figura geométrica; motivos geométricos; estilo geométrico; sistema geométrico; cuerpos geométricos .2 Que es exacto o preciso :demostración geométrica . VÉASE cuerpo geométrico; progresión geométrica; razón geométrica .

 

Sanseido Wisdom Dictionary

geometric

ge o met ric -ri cal /dʒì (ː )əmétrɪk //-k (ə )l /形容詞 通例 名詞 の前で 〗1 幾何学 (上 )の, 幾何学的な .2 幾何学的な 〈図案 模様など 〉.~̀ progr ssion 〘数 〙等比数列 .~̀ s ries 〘数 〙等比級数 .g o m t ri cal ly 副詞 幾何学模様に .

 

geometrician

ge om e tri cian /dʒì (ː )əmetrɪ́ʃ (ə )n , ⦅英 ⦆dʒiɔ̀mə -/名詞 C 幾何学者 .