Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - an Analysis of Each Branch, and of the Whole, as Forming a Single Science
... equation separately , we may combine the resulting equations and the given equations in accordance with the rules for treating the differentials of implicit functions , and thus deduce a mediate differential equa- tion which will be the ...
Elements of Geometry and Trigonometry Translated from the French of A.M. Legendre by David Brewster: Revised and Abridged
... AB CE : AD : AC ; and hence AB.AC-CE.AD . B Cor . If these equal quantities be multiplied by the same quantity BC , there will result AB.AC.BC = CE.AD.BC ; now AD.BC is double of the area of the triangle ( Prop . VI . ) ; there- fore ...
Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - an Analysis of Each Branch, and of the Whole, as Forming a Single Science
Comprising Definitions of All the Terms Employed in Mathematics - an ... cot ( a + b ) ( 41 ) S sinc sin ( A sinc cos ( A - - B ) ; P = cos C cost ... MATHEMATICAL SCIENCE .
A Treatise on Shades and Shadows, and Linear Perspective
Charles Davies. The plane of the circle casting the shadow , and the plane of the circle of shadow , intersect each ... auxiliary plane of projection , parallel to the plane whose trace is n ' p , and at a given distance from it . Draw n ...
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 ...
Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - an Analysis of Each Branch and of the Whole, as Forming a Single Science
... ellipse that instruments for describing ellipses and lathes for turning ovals, are constructed. One of the instruments for describing ellipses is called the elliptical compasses or the trammel. It consists of two rulers framed at right ...
New Elementary Algebra: Embracing the First Principles of Science
... unit of measure . 2. MATHEMATICS is the science which treats of the measurement , properties , and relations of quantities . In pure mathematics , there are but eight kinds of quantity , and consequently but eight kinds of UNITS , viz .: ...
... we find the angle subtended to be 5 ° 44 ' . The number of full 48 ° 5 ° 44 ' ' chords is equal to which gives 8 ... offering from tangent and chords produced . " EXAMPLES . 1. What are the tangent and chord offsets , for a curve of 2000 ...
... J. G. G. J. H. . • • • J. McP . J. S .. J. W. J. L. C. M. R. B. N. R. E. , Jun . • • . · . Dr. A. Boué , For . Mem . G.S. Prof. A. H. GREEN , M.A. , F.G.S. A. J. JUKES - BROWNE , B.A. , F.G.S. , Geological Survey . C. E. DE RANCE ...
Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for the Instruction and Use of Practical Men
... angle in a seg- ment . 11. What is a secant line ? A secant line , is one which meets the circumference in two points , and lies partly within and partly without . Thus , AB is a secant line . B E A E B B 12. What is a tangent line ...
... pp . 252–260 . A lists of rocks , minerals , & c . Hunt , Dr. T. S. On the History of the Crystalline Stratified Rocks . Proc . Amer . Assoc . vol . xxv . pp . 205-208 . ( Abstract . ) Refers to Laurentian , Norian , Huronian ...
Charles Davies. Jarvis ' Physiology and Laws of Health . TESTIMONIALS . From SAMUEL B. MOLANE , Superintendent Fublic Schools , Keokuk , Iowa , I am glad to see a really good text - book on this much neglected branch . This is clear ...
Outlines of Mathematical Science for the School Room
Charles Davies. Jarvis ' Physiology and Laws of Health . TESTIMONIALS . From SAMUEL B. McLANE , Superintendent Fublic Schools , Keokuk , Iowa . I am glad to see a really good text - book on this much neglected branch . This is clear ...
The Metric System, Considered with Reference to Its Introduction Into the United States: Embracing the Reports of the Hon. John Quincy Adams, and the Lecture of Sir John Herschel
... cit .; Car- penter's Introd . , ' l . c . , figs . 6 , 7 ) . 4. Webbina irregularis hemisphærica , nov . The ... arranged , but variable chambers ; and at a later period they are moulded on an undivided vermiform sarcode , sometimes ...
... Notices errata in his published work , the figures of Ammonites Deshayesi and A. Martini being interchanged , and the last plate has not succeeded . Some general results of researches are annexed . E. B. T. Walcott , C. D. Preliminary ...
Elements of Surveying and Levelling: With Descriptions of the Instruments and the Necessary Tables
... French instruments , they are designated , " Les parties égales , " and numbered 10 , 20 , 30 , 40 , & c . , to 200. On the Eng- lish sectors there are 20 equal divisions between any two of the lines numbered 1 , 2 , 3 , & c . , so that ...
Elements of Surveying, and Navigation: With a Description of the Instruments and the Necessary Tables
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations.
Elements of Analytical Geometry and of the Differential and Integral Calculus: By Charles Davies
... Differential Coefficient , and of a Differential .. 20 Rate of Change ..... 21-24 Nature of Differential Calculus .. 24-26 DIFFERENTIALS SECTION II . OF ALGEBRAIC FUNCTIONS . Differential of Sum or Difference of Functions .. Differential ...
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