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Additional letter of the Latin alphabet
Latin theta (uppercase: ϴ, lowercase: θ) is an additional letter of the Latin script, based on the lowercase letter theta from the Greek alphabet. It
Latin_theta
Eighth letter of the Greek alphabet
been [t͡s]. In addition, multiple modern languages written in Latin script use Latin theta. The early Cyrillic letter fita (Ѳ, ѳ) developed from θ. This
Theta
Symbol of death
The theta nigrum (lit. 'black theta') or theta infelix (lit. 'unlucky theta') is a symbol of death in Greek and Latin epigraphy. Isidore of Seville notes
Theta_nigrum
American Latina-interest collegiate sorority
Lambda Theta Alpha Latin Sorority, Inc. (ΛΘΑ) is the first and largest intercollegiate Latina-based sorority. It was established in December 1975 at Kean
Lambda_Theta_Alpha
"Collegiate". Lambda Theta Alpha Latin Sorority, Inc. May 24, 2016. Retrieved April 10, 2025. "Alumnae". Lambda Theta Alpha Latin Sorority, Inc. May 27
List of Lambda Theta Alpha chapters
List_of_Lambda_Theta_Alpha_chapters
American collegiate women's fraternity
Theta Phi Alpha (ΘΦΑ), commonly known as Theta Phi, is a women's fraternity founded at the University of Michigan – Ann Arbor on August 30, 1912. Theta
Theta_Phi_Alpha
American collegiate Latino fraternity
Lambda Theta Phi Latin Fraternity, Inc. (ΛΘΦ) is a Latino non-profit social fraternity in the United States with 148 undergraduate chapters and 33 alumni
Lambda_Theta_Phi
"Undergraduate Entities". Lambda Theta Phi Latin Fraternity, Inc. Retrieved December 3, 2024. "Alumni Chapters". Lambda Theta Phi Latin Fraternity, Inc. Retrieved
List of Lambda Theta Phi chapters
List_of_Lambda_Theta_Phi_chapters
International historically African American sorority
Delta Sigma Theta Sorority, Inc. (ΔΣΘ) is a historically African American sorority. The organization was founded by college-educated women dedicated to
Delta_Sigma_Theta
Fundamental trigonometric functions
{\begin{aligned}\sin(2\theta )&=2\sin(\theta )\cos(\theta ),\\\cos(2\theta )&=\cos ^{2}(\theta )-\sin ^{2}(\theta )\\&=2\cos ^{2}(\theta )-1\\&=1-2\sin ^{2}(\theta )\end{aligned}}}
Sine_and_cosine
Sounds spelled with the digraph ⟨th⟩
into Latin, theta was transcribed with ⟨th⟩. Since /tʰ/ sounds like /t/ with a following puff of air, ⟨th⟩ was the logical spelling in the Latin alphabet
Pronunciation_of_English_⟨th⟩
1 minus the cosine of an angle
{\displaystyle \operatorname {versin} \theta =1-\cos \theta =2\sin ^{2}{\frac {\theta }{2}}=\sin \theta \,\tan {\frac {\theta }{2}}} There are several related
Versine
Geometric line segment whose endpoints lie on a circular arc
{\displaystyle \operatorname {crd} \theta ={\sqrt {(1-\cos \theta )^{2}+\sin ^{2}\theta }}={\sqrt {2-2\cos \theta }}=2\sin {\frac {\theta }{2}}} The last step uses
Chord_(geometry)
§ Brackets and transcription delimiters. Latin phonology is the system of sounds used in Latin. Classical Latin was spoken from the late Roman Republic
Latin phonology and orthography
Latin_phonology_and_orthography
American college social fraternity
Theta Xi (ΘΞ) is a North American Greek-letter social college fraternity. It was founded at Rensselaer Polytechnic Institute in 1864. Of all the social
Theta_Xi
Functions of an angle
{\begin{aligned}\tan \theta &={\frac {\sin \theta }{\cos \theta }}\\\cot \theta &={\frac {\cos \theta }{\sin \theta }}\\\sec \theta &={\frac {1}{\cos \theta }}\\\csc
Trigonometric_functions
Twentieth letter in the Greek alphabet
use of Y in Latin dates back to the first century BC. It was used to transcribe loanwords from Greek, so it was not a native sound of Latin and was usually
Upsilon
Trigonometric function defined as secant minus one
1 cos θ − 1. {\displaystyle \operatorname {exsec} \theta =\sec \theta -1={\frac {1}{\cos \theta }}-1.} It was introduced in 1855 by American civil engineer
Exsecant
Ninth letter of many Semitic abjads
the letter Ʋ. Ṭ The Latin letter theta was never included in one of the 26 letters of the Latin alphabet. The Latin letter theta is only used in certain
Teth
Turning force around an axis
W = ∫ θ 1 θ 2 τ d θ , {\displaystyle W=\int _{\theta _{1}}^{\theta _{2}}\tau \ \mathrm {d} \theta ,} where τ is torque, and θ1 and θ2 represent (respectively)
Torque
Topics referred to by the same term
a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions Francisco Umbral (1932–2007), Spanish journalist, novelist, biographer
Umbral
International Phonetic Alphabet variants
2012-02-08, Proposal to encode a Latin Capital Letter L with Belt, UUG, DK. Pentzlin, Karl (2010-06-28). "Proposal to encode 10 Latin letters for North American
Case_variants_of_IPA_letters
Laws describing planetary orbits
{r}}{\dot {\theta }}{\hat {\boldsymbol {\theta }}}+r{\ddot {\theta }}{\hat {\boldsymbol {\theta }}}+r{\dot {\theta }}{\dot {\hat {\boldsymbol {\theta }}}}\right)=\left({\ddot
Kepler's laws of planetary motion
Kepler's_laws_of_planetary_motion
Binary star system in the constellation Leo
Theta Leonis, Latinized from θ Leonis, formally named Chertan, is a star in the equatorial-northern constellation of Leo. With an apparent visual magnitude
Theta_Leonis
boxes, or other symbols. This is a list of letters of the Latin script. The definition of a Latin-script letter for this list is a character encoded in the
List_of_Latin-script_letters
Cyrillic letter
by fe again. Many Greek words with theta were adopted in Russian with te (Т т) instead of fita (mostly through Latin or other Western European languages)
Fita
Fraternity, Phi Delta Theta (November 1880), "The Scroll of Phi Delta Theta", The Signet, vol. V, no. 2, Gettysburg, PA: Phi Delta Theta Fraternity, p. 138
History of North American fraternities and sororities
History_of_North_American_fraternities_and_sororities
Antiderivative of the secant function
\sec \theta \,d\theta ={\begin{cases}{\dfrac {1}{2}}\ln {\dfrac {1+\sin \theta }{1-\sin \theta }}+C\\[15mu]\ln {{\bigl |}\sec \theta +\tan \theta \,{\bigr
Integral of the secant function
Integral_of_the_secant_function
Binary star in constellation of Serpens
Theta Serpentis (θ Serpentis, abbreviated Theta Ser, θ Ser) is a binary star in the constellation of Serpens. It is visible to the naked eye with a combined
Theta_Serpentis
Describes approximate behavior of a function
{\displaystyle \asymp } , ω {\displaystyle \omega } , and Θ {\displaystyle \Theta } to describe other kinds of bounds on growth rates. Bachmann proposed the
Big_O_notation
Mathematical identity found by Jacobi in 1829
y^{2}=-q{\sqrt {q}}} . The Jacobi Triple Product also allows the Jacobi theta function to be written as an infinite product as follows: Let x = e i π
Jacobi_triple_product
Philadelphia: J. B. Lippincott & Co. pp. 144–145 – via HathiTrust. "Delta Theta Psi (Thetas)". The College of Wooster. Retrieved 2024-10-08. "Eta Psi Kappa".
List of social sororities and women's fraternities
List_of_social_sororities_and_women's_fraternities
Twenty-first letter in the Greek alphabet
binary variables. An angle, typically the second angle mentioned, after θ (theta). It can denote: The argument of a complex number. The phase of a wave in
Phi
Star system in the constellation Eridanus
Theta Eridani, Latinized from θ Eridani, is a triple star system in the constellation of Eridanus, with a combined apparent magnitude of 2.88. The primary
Theta_Eridani
Script used to write the Greek language
shifted to become a single fricative, [z], as in modern Greek. The letters theta ⟨θ⟩, phi ⟨φ⟩, and chi ⟨χ⟩ are normally taught to English speakers with their
Greek_alphabet
Doughnut-shaped surface of revolution
{\begin{aligned}x(\theta ,\varphi )&=(R+r\sin \theta )\cos {\varphi }\\y(\theta ,\varphi )&=(R+r\sin \theta )\sin {\varphi }\\z(\theta ,\varphi )&=r\cos \theta \\\end{aligned}}}
Torus
Seventh letter in the Greek alphabet
the Phoenician letter heth 𐤇. Letters that arose from eta include the Latin H and the Cyrillic letters И and Й. The letter shape 'H' was originally
Eta
for the Latino community. In New Jersey on December 1, 1975, Lambda Theta Phi Latin Fraternity, Inc. was founded at Kean University in Union Township,
List of Latino fraternities and sororities
List_of_Latino_fraternities_and_sororities
Sigma Omega Psi, c. 1927–1934?, Jewish, see ΑΕΠ ΘΚΦ - Theta Kappa Phi, 1927–1931, became ΦΚΘ ΘΚΝ - Theta Kappa Nu, 1931–1939 (NIC), merged into ΛΧΑ ΒΚ - Beta
List of Cornell University fraternities and sororities
List_of_Cornell_University_fraternities_and_sororities
Vertebrate brain region
studied. The theta mode appears during states of active, alert behavior (especially locomotion), and also during REM sleep (dreaming). In the theta mode, the
Hippocampus
Twenty-sixth letter of the Latin alphabet
Z (minuscule: z) is the twenty-sixth and last letter of the Latin alphabet. It is used in the modern English alphabet, in the alphabets of other Western
Z
Star in the constellation Aquarius
θ Aquarii (Latinised to Theta Aquarii) is the star's Bayer designation. It bore the traditional name Ancha; Medieval Latin for "the haunch". In 2016
Theta_Aquarii
Sigma Theta Pi Theta chapter (2007). "Local History" Archived 2007-03-15 at the Wayback Machine. Retrieved March 13, 2007. Delta Sigma Theta Pi Theta chapter
Dartmouth College fraternities and sororities
Dartmouth_College_fraternities_and_sororities
Trade association of collegiate men's fraternities
Lambda Sigma Upsilon". Retrieved August 10, 2023. "Our History | Lambda Theta Phi Latin Fraternity, Inc". Retrieved August 10, 2023. "Home". Retrieved August
North American Interfraternity Conference
North_American_Interfraternity_Conference
all belong to the Latin script; 23 in the MES-2 subset. Latin Extended-C Latin Extended-D Latin Extended-E Latin Extended-F Latin Extended-G 96 characters;
List_of_Unicode_characters
Alphabet used for writing the Gothic language
no need to use Latin to explain the form or sound value of the Gothic letter. 𐌸 (þ). Its numeric value of 9 corresponds to Greek theta (θ) /θ/. It is
Gothic_alphabet
Letter in several Latin-script alphabets
zero, slashed O (Ø ø), the similar Latin letter Ꝋ ꝋ, the Cyrillic letters fita (Ѳ ѳ) and Oe (Ө ө), the Greek theta (Θ θ), Tifinagh letter yab (ⴱ), or
Barred_o
Binary star system in the constellation Aquila
Theta Aquilae, also named Antinous, is a binary star in the equatorial constellation Aquila. Its identifier is a Bayer designation that is Latinized from
Theta_Aquilae
Equal-area pseudocylindrical global map projection
{\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\
Equal_Earth_projection
Distance from an arc's midpoint to the midpoint of its chord
{versin} \theta =r\left(1-\cos \theta \right)=2r\sin ^{2}{\frac {\theta }{2}}\,,\\s&={\frac {l\operatorname {versin} \theta }{2\sin \theta }}={\frac {l(1-\cos
Sagitta_(geometry)
Eighteenth letter of the Greek alphabet
values σ a θ b ( R ) {\displaystyle \sigma _{a\theta b}(R)} and σ a θ v ( R ) {\displaystyle \sigma _{a\theta v}(R)} to denote selections, which are a type
Sigma
Mathematical function
m)&={\frac {\theta _{3}(\tau )\theta _{1}(\zeta |\tau )}{\theta _{2}(\tau )\theta _{4}(\zeta |\tau )}},\\\operatorname {cn} (u,m)&={\frac {\theta _{4}(\tau
Jacobi_elliptic_functions
Coordinate system using perpendicular axes
θ . {\displaystyle {\begin{aligned}x'&=x\cos \theta -y\sin \theta \\y'&=x\sin \theta +y\cos \theta .\end{aligned}}} Thus: ( x ′ , y ′ ) = ( ( x cos
Cartesian_coordinate_system
Cyrillic letter
letter Theta (Θ θ/ϑ) and Latin letter Q. In the Unicode text-encoding standard, this letter is called "Abkhazian Ha". Its ISO 9 Romanization is the Latin letter
O-hook
Sign representing zero or empty set
U+0278 ɸ LATIN SMALL LETTER PHI is used in the IPA for voiceless bilabial fricative. Greek letter Θ: majuscule U+0398 Θ GREEK CAPITAL LETTER THETA and minuscule
Null_sign
Anthology television series
demographic. The series premiere aired in November 2011 across Europe and Latin America on Fox International Channels, and ranked as first or second most
American_Horror_Story
Part of a circle between two points
{\displaystyle L=\theta r.} This is because L c i r c u m f e r e n c e = θ 2 π . {\displaystyle {\frac {L}{\mathrm {circumference} }}={\frac {\theta }{2\pi }}
Circular_arc
Letter of the Latin alphabet
their language. It is a D with the horizontal bar from the Greek letter theta (Θ). It likely represented a /t͡s/ or /st/ sound, like the ts in cats or
Tau_gallicum
ΔΣΘ - Delta Sigma Theta, 1980 (NPHC) ΨΑΚ - Psi Alpha Kappa, 1901–1904, Latin American ΠΔΦ - Pi Delta Phi (local), 1916–1921, Latin-American, became ΦΛΑ
List of Massachusetts Institute of Technology fraternities and sororities
List_of_Massachusetts_Institute_of_Technology_fraternities_and_sororities
Force directed to the center of rotation
{d}{dt}}\left(\cos \theta \ {\hat {\mathbf {i} }}+\sin \theta \ {\hat {\mathbf {j} }}\right)\\&=r{\frac {d\theta }{dt}}{\frac {d}{d\theta }}\left(\cos \theta \ {\hat
Centripetal_force
LETTER SMALL THETA) Greek Extended: U+1F00–U+1FFF (233 characters) Letterlike Symbols: U+2100–U+214F (1 character: U+2126 OHM SIGN) Latin Extended-E: U+AB30–U+AB6F
Greek_script_in_Unicode
First letter of the Greek alphabet
the West Semitic word for 'ox'. Letters that arose from alpha include the Latin letter ⟨A⟩ and the Cyrillic letter ⟨А⟩. In Ancient Greek, alpha was pronounced
Alpha
North American collegiate fraternity
beneficent purposes of the Kappa Sigma." In 2002, along with Phi Delta Theta, Kappa Sigma ended its involvement in the North American Interfraternity
Kappa_Sigma
Distance along a curve
since the Latin word for length (or size) is spatium. "Arc measure" is the angular measure of an arc and is equivalent to θ {\displaystyle \theta } which
Arc_length
Topics referred to by the same term
American Asian-interest fraternity Lambda Theta Nu, an American Latina sorority Lambda Theta Phi, an American Latin-interest fraternity Lambda Upsilon Lambda
Lambdas
Longest side of a right-angled triangle, the side opposite of the right angle
cos θ = c 2 {\displaystyle a^{2}+b^{2}-2ab\cos {\theta }=c^{2}} where θ {\displaystyle \theta } is the angle between sides a {\displaystyle a}
Hypotenuse
Theorem: (cos x + i sin x)^n = cos nx + i sin nx
for 0 ≤ θ < 2 π . {\displaystyle q=k(\cos \theta +\varepsilon \sin \theta )\qquad {\mbox{for }}0\leq \theta <2\pi .} In this representation, k = d 2 +
De_Moivre's_formula
Symbols for constants, special functions
} ("script theta"), the cursive form of theta, often used in handwriting, represents the first Chebyshev function in number theory Theta role in linguistics
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Topics referred to by the same term
Nickname of Brazilian association football team Coritiba Foot Ball Club Theta Leonis, a star Hip, below the lateral side of the abdomen Arthropod coxa
Coxa
Topics referred to by the same term
Erebidae Dorsum (astrogeology), wrinkle ridges found on planets or moons Theta Capricorni, a star on the back of Capricornus This disambiguation page lists
Dorsum
Type of roulette curve
cos 2 θ , {\displaystyle x=(b+a\cos \theta )\cos \theta ={a \over 2}+b\cos \theta +{a \over 2}\cos 2\theta ,} y = ( b + a cos θ ) sin θ = b sin
Limaçon
German mathematician (1804–1851)
1854 required the introduction of the hyperelliptic theta function and later the general Riemann theta function for algebraic curves of arbitrary genus.
Carl_Gustav_Jacob_Jacobi
Unicode character block
in the Phonetic Extensions Supplement block: Greek alphabet in Unicode Latin script in Unicode "Unicode character database". The Unicode Standard. Retrieved
Phonetic Extensions Supplement
Phonetic_Extensions_Supplement
Twenty-second letter of the Greek alphabet
RO U+A7B3 Ꭓ LATIN CAPITAL LETTER CHI U+AB53 ꭓ LATIN SMALL LETTER CHI U+AB54 ꭔ LATIN SMALL LETTER CHI WITH LOW RIGHT RING U+AB55 ꭕ LATIN SMALL LETTER
Chi_(letter)
Special mathematical function defined as sin(x)/x
}^{\infty }{\frac {\sin(\theta )}{\theta }}\,d\theta =\int _{-\infty }^{\infty }\left({\frac {\sin(\theta )}{\theta }}\right)^{2}\,d\theta =\pi .} ∫ − ∞ ∞ sin
Sinc_function
Foundational result in symplectic geometry
{\displaystyle \theta } is a differential 1-form on an n {\displaystyle n} -dimensional manifold, such that d θ {\displaystyle \mathrm {d} \theta } has constant
Darboux's_theorem
Binary star in the constellation Capricornus
Theta Capricorni, Latinized from θ Capricorni, (Theta Cap or θ Cap) formally named Udang, is a binary star system in the southern constellation of Capricornus
Theta_Capricorni
Rotation of the plane of linearly polarized light as it travels through a chiral material
(}e^{-i\theta _{0}}+e^{i\theta _{0}}{\big )}+{\hat {y}}i{\big (}e^{-i\theta _{0}}-e^{i\theta _{0}}{\big )}{\big ]}\\&={\hat {x}}\cos \theta _{0}+{\hat
Optical_rotation
Latin phrase
Dum spiro spero, which translates to "While I breathe, I hope", is a Latin phrase of indeterminate origin. It is the motto of various places and organisations
Dum_spiro_spero
Letter of the Latin alphabet
p, and t, in words which have an original Greek χ (chi), φ (phi) or θ (theta). It may or may not be related to the characters ⊢ and ⊣ used by Aristophanes
Reversed_half_H
Last letter of the Greek alphabet
mid back rounded vowel [o̞]. The letter omega is transliterated into a Latin-script alphabet as ō or o. As the final letter in the Greek alphabet, omega
Omega
the fraternity with its new national partner, Phi Kappa Psi. Merged with Theta Chi. Merged with Pi Lambda Phi. Originally a literary society Merged with
List_of_social_fraternities
Star in the constellation Hercules
Theta Herculis is a single, variable star in the northern constellation of Hercules. This object is visible to the naked eye as a faint, orange-hued star
Theta_Herculis
Concept in trigonometry
{\displaystyle \operatorname {Sin} \theta } stand for the historical sine, and sin θ {\displaystyle \sin \theta } stand for the modern sine function
Sinus_totus
Star in the northern constellation of Boötes
and abbreviated Theta Boo or θ Boo. This star has the traditional name Asellus Primus, pronounced /əˈsɛləs ˈpraɪməs/, which is Latin for "first donkey
Theta_Boötis
American collegiate sorority (1921–1938)
Theta Tau Epsilon (ΘΤΕ) was an American college sorority for two-year colleges. It was established in 1921 at Stephens College in Columbia, Missouri.
Theta_Tau_Epsilon
Plane figure bounded by line segments
theta _{1})+a_{3}\sin(\theta _{1}+\theta _{2})+\cdots +a_{n-1}\sin(\theta _{1}+\theta _{2}+\cdots +\theta _{n-2})]\\{}+a_{2}[a_{3}\sin(\theta _{2})+a_{4}\sin(\theta
Polygon
Fundamental physical law of electromagnetism
_{2}=mg\tan \theta _{2}} and: q 2 4 4 π ε 0 L 2 2 = m g tan θ 2 {\displaystyle {\frac {\frac {q^{2}}{4}}{4\pi \varepsilon _{0}L_{2}^{2}}}=mg\tan \theta _{2}}
Coulomb's_law
Simple machine consisting of a beam pivoted at a fixed hinge
{\displaystyle \mathbf {v} _{A}={\dot {\theta }}a\mathbf {e} _{A}^{\perp },\quad \mathbf {v} _{B}={\dot {\theta }}b\mathbf {e} _{B}^{\perp },} where eA⊥
Lever
and science Glossary of mathematical symbols List of mathematical uses of Latin letters Greek letters used in mathematics, science, and engineering Physical
List of common physics notations
List_of_common_physics_notations
Michelle Brown Phi Theta Miss Alabama 1992; runner-up Miss America Leanza Cornett Beta Gamma Miss America 1993, television host Julie Hayek Theta Pi Miss California
List of Delta Delta Delta members
List_of_Delta_Delta_Delta_members
Model parameters in mathematical finance
the Greek letter nu looked like a Latin vee, and vega was derived from vee by analogy with how beta, eta, and theta are pronounced in American English
Greeks_(finance)
Cyrillic letter used in various languages
Despite having a similar shape, it is related neither to the Greek letter theta (Θ θ/ϑ) nor to the archaic Cyrillic letter fita (Ѳ ѳ). Oe is used in the
Oe_(Cyrillic)
American Latina-based collegiate sorority
Lambda Theta Nu (ΛΘΝ) is a Latina-based Greek letter intercollegiate sorority founded in 1986 at California State University, Chico. Eighteen Latina students
Lambda_Theta_Nu
Social organizations at colleges and universities
Beta Phi in 1867 and Kappa Alpha Theta and Kappa Kappa Gamma in 1870. The term sorority was used by a professor of Latin at Syracuse University, Frank Smalley
College fraternities and sororities
College_fraternities_and_sororities
American collegiate fraternity (1924–1939)
Theta Kappa Nu (ΘΚΝ) fraternity was an American national collegiate fraternity founded in 1924 by delegates from eleven local fraternities. It merged
Theta_Kappa_Nu
Optical Phenomenon
_{0}^{\pi /2}\cos(\theta )\,I_{\max }\,\sin(\theta )\,d\theta \,d\phi \\&=2\pi \cdot I_{\max }\int _{0}^{\pi /2}\cos(\theta )\sin(\theta )\,d\theta \\&=2\pi \cdot
Lambert's_cosine_law
Surface of revolution of a catenary
v)&=\sin \theta \,\cosh v\,\cos u+\cos \theta \,\sinh v\,\sin u\\y(u,v)&=\sin \theta \,\cosh v\,\sin u-\cos \theta \,\sinh v\,\cos u\\z(u,v)&=v\sin \theta +u\cos
Catenoid
"Worcester chapter" of Q.T.V., an early Latin-named regional fraternity. Chapter formed from the Lambda chapter of Theta Kappa Phi when the two fraternities
List of Worcester Polytechnic Institute fraternities and sororities
List_of_Worcester_Polytechnic_Institute_fraternities_and_sororities
Topics referred to by the same term
the Gödel constructible universe Phi (Φ), a letter of the Greek alphabet Theta (Θ), a letter of the Greek alphabet ⌀, the diameter symbol 00 (disambiguation)
0_(disambiguation)
travel, tourism, insurance
LATIN THETA
LATIN THETA
LATIN THETA
LATIN THETA
LATIN THETA
LATIN THETA
LATIN THETA
LATIN THETA
LATIN THETA
travel, tourism, insurance