A treatise on spherical geometry, containing its fundamental properties; the doctrine of its loci; the maxima and minima of spherical lines and areas; with an application of these elements to a variety of problems
A Manual of Spherical and Practical Astronomy, Embracing the General Problems of Spherical Astronomy, the Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments, with an Appendix on the Method of Least Squares: Spherical astronomy
... PS 90 ° - B PS 90 ° = - B β = BL = 90 ° + L — п SPP1 SP , P 180 ° - = --- L , B , = 180 ° — - ( 90 ° ) 90 ° ( λ — 11 — ↓ 1 ) so that , by the fundamental equations of Sph . Trig . , cos ẞ cos ( — I ) - cos ẞ sin ( 11 — ↓ 1 ) sin B ...
A Treatise of Algebra, in Three Parts. Containing 1. The Fundamental Rules and Operations. 2. The Composition and Resolution of Equations of All Degrees; and the Different Affections of Theis Roots. 3. The Application of Algebra and Geometry to Each Other. To which is Added an Appendix, Concerning the General Properties of Geometri
... algebraica , aliis linea rationalis dicitur . Ordo autem lineæ pendet ab indice altiffimo ipfius x vel in terminis ... principio abfciffæA , valores negativi denotabunt rectas ab eodem principio ad finiftram ductas ; & fimiliter fi ...
A Treatise of Algebra, in Three Parts. Containing 1. The Fundamental Rules and Operations. 2. The Composition and Resolution of Equations of All Degrees; and the Different Affections of Their Roots. 3. The Application of Algebra and Geometry to Each Other. To which is Added an Appendix, Concerning the General Properties of Geometri
... Algebraica , alijs Linea rationalis dicitur . Ordo autem Lineæ pendet ab Indice altiffimo ipfius x vel y in terminis ... principio abfciffe A , valores negativi denotabunt rectas ab eodem principio ad finiftram ductas ; & fimiliter fi ...
A Treatise on Special Or Elementary Geometry: Including Plane, Solid, and Spherical Geometry, and Plane and Spherical Trigonometry, with the Necessary Tables
... 10 , 4 , and 7 , and the perpen- dicular is let fall from the angle included ... PERIMETERS AND RECTIFICATION . AREAS OF SIMILAR FIGURES . BISECTORS OF THE ... Perimeters of Cor . 1. As squares of diagonals . Cor . 2. Regular polygons ...
The Doctrine of Permutations and Combinations: Being an Essential and Fundamental Part of the Doctrine of Chances; as it is Delivered by Mr. James Bernoulli, in His Excellent Treatise on the Doctrine of Chances, Intitled, Ars Conjectandi, and by the Celebrated Dr. John Wallis, of Oxford, in a Tract Intitled from the Subject, and Published at the End of His Treatise on Algebra: in the Former of which Tracts is Contained, a Demonstration of Sir Isaac Newton's Famous Binomial Theorem, in the Cases of Integral Powers, and of the Reciprocals of Integral Powers. Together with Some Other Useful Mathematical Tracts. Published by Francis Maseres, Esq
... numerorum figuratorum hæc præcipua fit , eadémque fcopo noftro primario ... fummam totidem terminorum ultimo æqualium rationem habet æqua- litatis , five ut 1 ... mam . His igitur fi accedat fequens terminus , numerus 8 mam . 22 EX JACOBI ...
A Treatise of Algebra: In Three Parts. Containing. The fundamental rules and operations. The composition and resolution of equations of all degrees; and the different affections of their roots. The application of algebra and geometry to each other. To which is added, an appendix, concerning the general properties of geometrical lines. I.. II.. III.
... algebra and geometry to each other. To which is added, an appendix Colin ... algebraica , aliis linea rationalis dicitur . Ordo autem lineæ pendet ab indice ... valores affirmativi ipfius x defignent rectas ad dextram ductas a principio ...
A Treatise of Algebra, in Three Parts: Containing I. The Fundamental Rules and Operations; II. The Composition and Resolution of Equations of All Degrees, and the Different Affections of Their Roots; III. The Application of Algebra and Geometry to Each Other. To which is Added an Appendix Concerning the General Properties of Geometrical Lines
... Algebra and Geometry to Each Other. To which is Added an Appendix Conce ... algebraica , aliis linea rationalis dicitur . rdo autem lineæ pendet ab indice ... valores affirmativi ipfius x defignent rectas ad dextram ductas a principio ...
Maxima and Minima with Applications: Practical Optimization and Duality
... Guided Tour of Combinatorial Optimization LAYWINE AND MULLEN . Discrete Mathematics Using Latin Squares LEVITIN Q Perturbation Theory in Mathematical Programming Applications MAHMOUD - Evolution of Random Search Trees MARTELLO AND TOTH ...
On Maxima and Minima: Chapter 5 of Rules for Solving Sophismata, with an anonymous fourteenth-century discussion
... expositing such terms as " the greatest capacity on which A can act " and " the least capacity on which A cannot act " in such a way that all the conditions prescribed to guarantee the existence of an upper bound must be met if anything ...
Arte minima, que ... tratta ... os modos da maxima&longa sciencia da musica, etc
... baixo da clave ás avallas . 37 Diz à Arte , que em cada fette fignos ha tres ... a perfeição . As deducções dizem muitos Authores fao fette , & a rafao he ... Gregos , porque os Latinos delles tomáraó a Mufica pofta em Arte : Hoc fe ...
Elements of Descriptive Geometry: With Their Application to Spherical Trigonometry, Spherical Projections, and Warped Surfaces
... plane , the points of the curve will be found in the traces of the auxiliary planes . The point ( n , n ' ) , for ex- ample , is found at n " , a distance from the point ƒ equal to the hypothenuse of a triangle whose base is fn , and ...
... điền , đổi thửa , tạo điều kiện cơ giới hoá sản xuất , đồng thời thực hiện ... hành tiết kiệm chi tiêu , tập trung ngân sách hỗ trợ cho việc khôi phục và ... văn hoá thể thao , giáo dục , đào tạo ... nhằm cung cấp nguồn lao động có chất ...
A General Geometry and Calculus: Including Book I, of the General Geometry, Treating of Loci in a Plane; And an Elementary Course in the Differential and Integral calculus
... 4dx 4 + 4x + 4x2 4dx 3+ ( 1 + 2 ) 2 which is the form for the differential of an arc in terms of the tan- 4dx 3 + 1 + 4x + 4x2 SOLUTION . 4d.x 1+ 1+ 2x2 ' 1 + 2x 2dx gent , except that the numerator should be d . ... y = = fi dx 1 + x + ...
The Spherical Basis of Astrology: Being a Comprehensive Table of Houses for Latitudes 22 ̊to 56,̊ with Rational Views and Suggestions, Explanation and Instructions, Correction of Wrong Methods, and Auxiliary Tables
... Wrong Methods, and Auxiliary Tables Joseph Grinnell Dalton. EXPLANATIONS AND INSTRUCTIONS . WITH USEFUL TABLES . CORRECTION OF MEAN TO SIDEREAL TIME . Cor- Mean Cor-. severe sagacity that has reached the admirable results of the ...
A Manual of Spherical and Practical Astronomy, Embracing the General Problems of Spherical Astronomy, the Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments, with an Appendix on the Method of Least Squares: Theory and use of astronomical instruments. Method of last squa
... AC . cos2 n cos t cos ≥ ( w ' -- w ) cos2 n cost sin ( ww ) tan o ΔΙ = AC cos o cos n cost The correction of the quantity ( T ) - t + m will be composed of the corrections of I ( by which ( T ) is obtained ) , of . m , and of t ...
A Manual of Spherical and Practical Astronomy, Embracing the General Problems of Spherical Astronomy: The Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments
... PS - 90 ° -6 , PS ' 90 ° -o ' , and the angle SPS ' = λ , from which we find the third side SS ' B , and the angle PS'S P , by the formulæ [ A of Art . 10 ] - = - cos B sin B cos P sin ' sin cos ' sin d cos d ' cos & cos sin d'cos cos ...
An Appendix to the larger edition of Euclid's Elements of Geometry: containing additional notes on the Elements, a short tract on transverals and hints for the solution of the problems, etc. By R. Potts
... prisms in the pyramid ABCG to the two prisms in the pyramid DEFH ; and so are the two prisms in the pyramid OMNG to the two prisms in the pyramid STYH ; and so are all four to all four : and the same thing may be shewn of the prisms ...
Elements of Geometry: Including Plane, Solid, and Spherical Geometry
... Prove that the volumes of a cone of revolution , a sphere , and a cylinder of revolution are in the proportion of 1 , 2 , 3 if the bases of the cone and cylinder are each equal to a great circle of the sphere and their altitudes are ...
The Chrono-Astrolabe; Containing a Full Set of Astronomic Tables, with Rules and Examples for the Calculation of Eclipses and Other Celestial Phenomena, Comprising Also Plane and Spherical Trigonometry, and the Most Copious List of Ancient Eclipses Ever Published Connected with These, the Dates of Ancient Events are Exactly Determi
... h ) 2 or x2 + 2xh + h2 and ( x + h ) 3 = x3 + 3x2 h + 3xh2 + h3 and if the Dinomial is admitted , N- -1 2 then ( x + ... expand any function of ( x + Ax ) into such a form that p ( x + △ x ) — px = A △ x + BAx2 + CAx3 & c . , by ...
Ana ́lisis de modelos y orientaci ́on ma ́s alla ́
... alcantarillado o las TIC. Según la definición oficial, la infraestructura crítica es un término utilizado para describir los activos que son esenciales para el funcionamiento de una sociedad y una economía. Las siguientes instalaciones ...
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth : the Errors by which Theon, Or Others, Have Long Ago Vitiated These Books are Corrected, and Some of Euclid's Demonstrations are Restored : Also, the Book of Euclid's Data, in Like Manner Corrected : to this Edition are Also Annexed, Elements of Plane and Spherical Trigonometry
... prisms in the pyramid ABCG to the two prisms in the pyramid DEFH ; and so are the two prisms in the pyramid OMNG to the two prisms in the pyramid STYH ; and so are all four to all four : and the same thing may be shown of the prisms ...
National Heritage Areas: Hearing Before the Subcommittee on National Parks of the Committee on Energy and Natural Resources, United States Senate, One Hundred Eighth Congress, Second Session, to Conduct Oversight on National Heritage Areas, Including Findings and Recommendations of the General Accounting Office, the Definition of a National Heritage Area, the Definition of National Significance as it Relates to National Heritage Areas, Recommendations for Establishing National Heritage Areas as Units of the National Park System, Recommendations for Prioritizing Proposed Studies and Designations, and Options for Developing a National Heritage Area Program Within the National Park Service, March 30, 2004
... Daily Freeman.com , Kingston , NY , 12 / 17 / 2002 , referenced 8/7/03 ) . This heritage corridor involves the Delaware and Hudson Heritage Corridor Alliance , but is not yet a National Park Service National Heritage Area . c . Farmer ...
A Manual of Spherical and Astronomy: Embracing the General Problems of Spherical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments. With an Appendix on the Method of Least Squares
... PS - 90 ° -6 , PS ' = 90 ° - 6 ' , and the angle SPS ' 2 , from which we find the third side SS ' B , and the angle PS'S P , by the formula [ of Art . 10 ] - = cos B = sin ' sin sin B cos P = cos o ' sin d sin B sin P cos o sin cos d ...
A Manual of Spherical and Practical Astronomy: Embracing the General Problems of Spherical Astronomy, the Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments, with an Appendix on the Method of Least Squares
... PS = 90 ° — 6 , PS ' = 90 ° - ò ' , and the angle SPS ' = λ , from which we find the third side SS ' B , and the angle P , by the formulæ [ A of Art . 10 ] PS'S cos B = sin B cos P sin ' sin cos o ' sin o + cos d ' cos & cos sin d ' cos ...
A Manual of Spherical and Pratical Astronomy: Embracing the General Problems of Spherical Astronomy, the Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments
... PS = 90 ° -8 , PS ' = 90 ° -d ' , and the angle SPS ' = 2 , from which we find the third side SS ' B , and the angle PS'S P , by the formulæ [ A of Art . 10 ] = cos B sin o'sin sin B cos P = cos d ' sin o sin B sin P = cos o sin λ = + ...
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