Trigonometry (from "trigwnon", triangle, and "metrew") is the science of the numerical relations between the sides and angles of triangles.
This Treatise is intended to demonstrate, to those who have learned the principal propositions in the first six books of Euclid, so much of Trigonometry as was originally implied in the term, that is, how from given values of some of the sides and angles of a triangle to calculate, in the most convenient way, all the others. A few propositions supplementary to Euclid are premised as introductory to the propositions of Trigonometry as usually understood.More info →
THE ORIGIN OF NUMERICAL SYSTEMS.
"Every cosmogony, from the earliest to the latest, is based upon, interlinked with, and most closely related to, numerals and geometrical figures." " The Secret Doctrine, Blavatasky, III, 69.”
"So teach us to number our days, that we may apply our hearts unto wisdom." " Psalms, xc, 12.
"God is a Number endowed with motion, which is felt but not demonstrated." " Balzac.
Plato saith “tov peov akei gewmetreiv”, That "God doth alwayes worke by Geometry", that is, as the wiseman doth interprete it, Sap. XI. 21. Omnia in mensura & numero & pondere disponere. Dispose all things by measure, and number, and weight: Or, as the learned Plutarch speaketh; He adorneth and layeth out all the parts of the world according to ra-te, proportion, and similitude.More info →
This beautifully produced slipcased volume contains the historic text of the second edition and all of Henry Vandyke Carter's masterly drawings.
It is essential reading for anyone with an interest in the history of medicine or in the amazingly complex machine that is the human body.
M. Lévy-Bruhl then explains that, whilst recognising the entire coherence of Comte’s collective labours, he proposes to confine his present study to the earlier and principal work, the Philosophy, which in M. Lévy-Bruhl’s opinion is the dominant and more fruitful composition.More info →
Analysis of a Proposition into its Elements. Numerical and Geometrical Problems. The Theory of Inference. The Construction of Problems. And many other Curiosa Logica.
In Book I, Chapter II, I have adopted a new definition of ‘Classification’, which enables me to regard the whole Universe as a ‘Class,’ and thus to dispense with the very awkward phrase ‘a Set of Things.’More info →
The theory of equations is not only a necessity in the subsequent mathematical courses and their applications, but furnishes an illuminating sequel to geometry, algebra and analytic geometry. Moreover, it develops anew and in greater detail various fundamental ideas of calculus for the simple, but important, case of polynomials. The theory of equations therefore affords a useful supplement to differential calculus whether taken subsequently or simultaneously.
It was to meet the numerous needs of the student in regard to his earlier and future mathematical courses that the present book was planned with great care and after wide consultation. It differs essentially from the author’s Elementary Theory of Equations, both in regard to omissions and additions, and since it is addressed to younger students and may be used parallel with a course in differential calculus. Simpler and more detailed proofs are now employed. The exercises are simpler, more numerous, of greater variety, and involve more practical applications.More info →
A fancy overtakes us at times to question our presumption in writing a book. Wherein are we beter than another, that we should attempt to doctor another? We look over the matter-of-fact world and find it impossible to make a show, unless we have something to exhibit: Yet here are we who can fiddle little, and fife less-who cannot turn somersets, as we could once when we were less fit to write a book -who cannot commit by the page like an actor, nor play cbess witb a third-rate,-in short who cannot prove our ability by any standard feat whatsoever, proposing to indoctrinate many who can do all these things into the deepest mysteries of life!More info →
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BISAC: Science / Physics / Electricity
It was in this interesting border region, and from among these valiant Eastern folk, that Nikola Tesla was born in the year 1857, and the fact that he, today, finds himself in America and one of our foremost electricians, is striking evidence of the extraordinary attractiveness alike of electrical pursuits and of the country where electricity enjoys its widest application.
IT is not necessary to lay emphasis on the importance of a knowledge of the skeleton as an integral part of the study of human anatomy, and, in the literature bearing upon the subject, we find masterly accounts of the constituent bones which rank as classics in the education of the student.More info →