# Trigonometry sentence example

trigonometry

- The introduction of hyperbolic functions into trigonometry was also due to him.
- For Demoivre's Theorem see Trigonometry: Analytical.
- Beyond this point, analytical methods must be adopted, and the student passes to trigonometry and the infinitesimal calculus.
- By means of this instrument questions in navigation, trigonometry, &c., are solved with the aid of a pair of compasses.
- Ptolemaei magnam compositionem (printed at Venice in 1496), and his own De Triangulis (Nuremberg, 1533), the earliest work treating of trigonometry as a substantive science.Advertisement
- In "geodesy," and the cognate subject "figure of the earth," the matter of greatest moment with regard to the sphere is the determination of the area of triangles drawn on the surface of a sphere - the so-called "spherical triangles"; this is a branch of trigonometry, and is studied under the name of spherical trigonometry.
- Complex numbers are conveniently treated in connexion not only with the theory of equations but also with analytical trigonometry, which suggests the graphic representation of a+b,l - by a line of length (a 2 +b 2)i drawn in a direction different from that of the line along which real numbers are represented.
- of distances between points) as belonging to geometry or trigonometry; while the measurement of curved lengths, except in certain special cases, involves the use of the integral calculus.
- For fuller discussion reference should be made to Geometry and Trigonometry, as well as to the articles dealing with particular figures, such as Triangle, Circle, &C.
- It is a Treatise on Trigonometry, by a Scotsman, James Hume of Godscroft, Berwickshire, a place still in possession of the family of Hume.Advertisement
- The second and third volumes include also his correspondence with his contemporaries; and there is a tract on trigonometry by Caswell.
- A trigonometry (Doctrina triangulorum,) by him was published a year after his death.
- But every quaternion formula is a proposition in spherical (sometimes degrading to plane) trigonometry, and has the full advantage of the symmetry of the method.
- We find that geometry was neglected except in so far as it was of service to astronomy; trigonometry was advanced, and algebra improved far beyond the attainments of Diophantus.
- With Vieta, by reason of the advance in arithmetic, the style of treatment becomes more strictly trigonometrical; indeed, the Universales Inspectiones, in which the calculation occurs, would now be called plane and spherical trigonometry, and the accompanying Canon mathematicus a table of sines, tangents and secants.'Advertisement
- Among these subjects were the transit of Mercury, the Aurora Borealis, the figure of the earth, the observation of the fixed stars, the inequalities in terrestrial gravitation, the application of mathematics to the theory of the telescope, the limits of certainty in astronomical observations, the solid of greatest attraction, the cycloid, the logistic curve, the theory of comets, the tides, the law of continuity, the double refraction micrometer, various problems of spherical trigonometry, &c. In 1742 he was consulted, with other men of science, by the pope, Benedict XIV., as to the best means of securing the stability of the dome of St Peter's, Rome, in which a crack had been discovered.
- During this period logarithms were invented, trigonometry and algebra developed, analytical geometry invented, dynamics put upon a sound basis, and the period closed with the magnificent invention of (or at least the perfecting of) the differential calculus by Newton and Leibnitz and the discovery of gravitation.
- His earliest publications, beginning with A Syllabus of Plane Algebraical Geometry (1860) and The Formulae of Plane Trigonometry (1861), were exclusively mathematical; but late in the year 1865 he published, under the pseudonym of "Lewis Carroll," Alice's Adventures in Wonderland, a work that was the outcome of his keen sympathy with the imagination of children and their sense of fun.
- Todhunter also published keys to the problems in his textbooks on algebra and trigonometry; and a biographical work, William Whewell, account of his writings and correspondence (1876), in addition to many original papers in scientific journals.
- The work on [[Trigonometry]] and Double Algebra (1849) contains in the latter part a most luminous and philosophical view of existing and possible systems of symbolic calculus.Advertisement
- For the subjects of this heading see the articles DIFFERENTIAL EQUATIONS; FOURIER'S SERIES; CONTINUED FRACTIONS; FUNCTION; FUNCTION OF REAL VARIABLES; FUNCTION COMPLEX; GROUPS, THEORY OF; INFINITESIMAL CALCULUS; MAXIMA AND MINIMA; SERIES; SPHERICAL HARMONICS; TRIGONOMETRY; VARIATIONS, CALCULUS OF.
- The best known of these, which is called Legendre's theorem, is usually given in treatises on spherical trigonometry; by means of it a small spherical triangle may be treated as a plane triangle, certain corrections being applied to the angles.
- The earlier editions did not contain the trigonometry.
- Perhaps to the student there is no part of elementary mathematics so repulsive as is spherical trigonometry.
- His acquaintance with trigonometry, a branch of science initiated by 1 G.Advertisement
- In 1833 he published Elements of Trigonometry.
- Newton tells us himself that, when he had purchased a book on astrology at Stourbridge fair, a fair held close to Cambridge, he was unable, on account of his ignorance of trigonometry, to understand a figure of the heavens which was drawn in this book.
- During his tenure of this chair he published two volumes of a Course of Mathematics - the first, entitled Elements of Geometry, Geometrical Analysis and Plane Trigonometry, in 1809, and the second, Geometry of Curve Lines, in 1813; the third volume, on Descriptive Geometry and the Theory of Solids was never completed.
- spherical trigonometry, which became vital to astronomy.
- Simple Calculation of Shadows Shadow length can be calculated quite simply using trigonometry.Advertisement
- The generalized view of angles and their measurement is treated in the article Trigonometry.
- trigonometry book.
- In the case of more considerable distances, however, a globe of suitable size should be consulted, or - and this seems preferable - they should be calculated by the rules of spherical trigonometry.
- trigonometry originally done much earlier in about 1464.
- He applied Alexandrian trigonometry to estimate the distances and sizes of the sun and moon, and also postulated a heliocentric universe.Advertisement
- Whenever triangles turn up, you need to know trigonometry to deal with them.
- He shows how Greek astronomers developed the first true trigonometry.
- If the parallax angle of a star is known then its distance can be calculated by trigonometry.
- These texts were the precursors of spherical trigonometry, which became vital to astronomy.
- Continue geometry, including Pythagoras ' Theorem and basic trigonometry.Advertisement
- The use of these simple trigonometry is illustrated by the method of calculating distances on the Earth.
- Thanks to some brilliant Australian dude, we now have " rational trigonometry " .
- Relationships and common formulae from elementary trigonometry, including the basic properties of sine and cosine.
- These calculations are little more than three-dimensional trigonometry in most cases involving converting tape, compass and clino measurements into an XYZ vector.
- trigonometry a. Revision of year 9 i.e. i. Using two sides to find an angle ii.Advertisement
- Triangulation A method of determining the location of an unknown point, as in GPS navigation, by using the laws of plane trigonometry.
- trigonometry in most cases involving converting tape, compass and clino measurements into an XYZ vector.
- Besides the logarithms and the calculating rods or bones, Napier's name is attached to certain rules and formulae in spherical trigonometry.
- cos z (A+B) sine (A+B) They were first published after his death in the Constructio among the formulae in spherical trigonometry, which were the results of his latest work.
- He published, among other mathematical works, Clavis Mathematica, in 1631, in which he introduced new signs for certain mathematical operations (see Algebra); a treatise on navigation entitled Circles of Proportion, in 1632; works on trigonometry and dialling, and his Opuscula Mathematica, published posthumously in 1676.Advertisement
- In that year Adriaan van Roomen gave out as a problem to all mathematicians an equation of the 45 th degree, which, being recognized by Vieta as depending on the equation between sin 4 and sin 43/45, was resolved by him at once, all the twenty-three positive roots of which the said equation was capable being given at the same time (see Trigonometry).
- This work included the "Logometria," the trigonometrical theorem known as "Cotes' Theorem on the Circle" (see TRIGONOMETRY), his theorem on harmonic means, subsequently developed by Colin Maclaurin, and a discussion of the curves known as "Cotes' Spirals," which occur as the path of a particle described under the influence of a central force varying inversely as the cube of the distance.
- == Treatise on the Differential Calculus and the Elements of the Integral Calculus (1852, 6th ed., 1873), Treatise on Analytical Statics (1853, 4th ed., 1874); Treatise on the Integral Calculus (1857, 4th ed., 1874); Treatise on Algebra (1858, 6th ed., 1871); Treatise on Plane Coordinate Geometry (1858, 3rd ed., 1861); Plane Trigonometry (1859, 4th ed., 1869); Spherical Trigonometry (1859); History of the Calculus of Variations (1861); Theory of Equations (1861, 2nd ed.
- The measurement of angles belongs to trigonometry, and it is convenient to regard the measurement of the lengths of straight lines (i.e.
- Cantor attributes to him (in the use of his prosthaphaeresis) the first introduction of a subsidiary angle into trigonometry (vol.
- (See also TRIGONOMETRY.) REFERENCES.
- Above: A CLS boy enjoys teaching trigonometry to one of his pupils !
- This contained work on planar and spherical trigonometry originally done much earlier in about 1464.
- Thanks to some brilliant Australian dude, we now have " rational trigonometry ".
- Last week, I needed to decipher an engineer 's property description, and did not have to haul out my old trigonometry book.
- TRIGONOMETRY a. Revision of year 9 i.e. i. Using two sides to find an angle ii.
- One tab is for trigonometry and geometry functions, the second tab is for higher math functions and the third tab is for numbers you place in memory.
- This can be especially difficult as a child begins high school and has to tackle difficult subjects, such as long forgotten trigonometry or advanced chemistry.
- Under the general heading "Geometry" occur the subheadings "Foundations," with the topics principles of geometry, non-Euclidean geometries, hyperspace, methods of analytical geometry; "Elementary Geometry," with the topics planimetry, stereometry, trigonometry, descriptive geometry; "Geometry of Conics and Quadrics," with the implied topics; "Algebraic Curves and Surfaces of Degree higher than the Second," with the implied topics; "Transformations and General Methods for Algebraic Configurations," with the topics collineation, duality, transformations, correspondence, groups of points on algebraic curves and surfaces, genus of curves and surfaces, enumerative geometry, connexes, complexes, congruences, higher elements in space, algebraic configurations in hyperspace; "Infinitesimal Geometry: applications of Differential and Integral Calculus to Geometry," with the topics kinematic geometry, curvature, rectification and quadrature, special transcendental curves and surfaces; "Differential Geometry: applications of Differential Equations to Geometry," with the topics curves on surfaces, minimal surfaces, surfaces determined by differential properties, conformal and other representation of surfaces on others, deformation of surfaces, orthogonal and isothermic surfaces.
- For the subjects under this heading see the articles CONIC SECTIONS; CIRCLE; CURVE; GEOMETRICAL CONTINUITY; GEOMETRY, Axioms of; GEOMETRY, Euclidean; GEOMETRY, Projective; GEOMETRY, Analytical; GEOMETRY, Line; KNOTS, MATHEMATICAL THEORY OF; MENSURATION; MODELS; PROJECTION; Surface; Trigonometry.
- It thus came about that while some progress was made in algebra, the talents of the race were bestowed on astronomy and trigonometry.
- In Albertus Magnus the name Geber occurs only once and then with the epithet "of Seville"; doubtless the reference is to the Arabian Jabir ben Aflah, who lived in that city in the r r th century, and wrote an astronomy in 9 books which is of importance in the history of trigonometry.
- Using trigonometry: angles and the trigonometric functions sine, cosine and tangent; usage in the Earth and the science of surveying.
- Above: A CLS boy enjoys teaching trigonometry to one of his pupils!