The material contained in the following translation was given in substance by Professor Hilbert as a course of lectures on euclidean geometry at the University of G¨ottingen during the winter semester of 1898–1899. The results of his investigation were re-arranged and put into the form in which they appear here as a memorial address published in connection with the celebration at the unveiling of the Gauss-Weber monument at G¨ottingen, in June, 1899. In the French edition, which appeared soon after, Professor Hilbert made some additions, particularly in the concluding remarks, where he gave an account of the results of a recent investigation made by Dr. Dehn.More info →
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 →
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 →
In this treatise I have tried to present in systematic and definite form a simple, rigorous, and thoroughly modem introduction to the fundamental principles of electromagnetic theory, together with some of the simpler of their more interesting and important non-technical applications.More info →
In the following pages an attempt has been made to emphasize the value of Embryology and Comparative Anatomy in elucidating the difficult and often complicated morphological problems encountered in the study of human adult anatomy.More info →
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 science of human anatomy is purely descriptive in its methods, the field it covers is not very extensive, and its boundaries ara sharply limited; it is, therefore, one of the few sciences in which something closely verging on finality and completeness has been attained. Even, however, if no new anatomical data are likely to be forthcoming, there is yet scope for originality in the method of presentation of those data of which the science now consists; and originality of this kind Professor Toldt's "Atlas of Human Anatomy" exhibits in a high degree. In the many admirable manuals of human anatomy now extant in English, the illustrations, even when numerous, as they are often, and when good, as they are occasionally, form a mere supplement — usually a very imperfect supplement — to the text.More info →
The Theory of Symbolical Algebra, are aware, that the validity of the processes of analysis does not depend upon the interpretation of the symbols which are employed, but solely upon the laws of their combination. Every system of interpretation which does not a_ect the truth of the relations supposed, is equally admissible, and it is thus that the same process may, under one scheme of interpretation, represent the solution of a question on the properties of numbers, under another, that of a geometrical problem, and under a third, that of a problem of dynamics or optics.
This principle is indeed of fundamental importance; and it may with safety be affirmed, that the recent advances of pure analysis have been much assisted by the inuence which it has exerted in directing the current of investigation. But the full recognition of the consequences of this important doctrine has been, in some measure, retarded by accidental circumstances. It has happened in every known form of analysis, that the elements to be determined have been conceived as measurable by comparison with some fixed standard.More info →
"UKRAY" - UNIFIED FIELD THEORY -
- A New Unification Theory on Electromagnetic Gravitation-
THIS THEORY, GETS THESE QUESTIONS INTO;
- A CHANGE into Gravitational field and field equations, STATIC AND UNIVERSAL GRAVITATIONAL CONSTANTS,
- THE DYNAMICS OF Gravitational field with Combining the Electromagnetics Theory.
- THE VELOCITY OF LIGHT COULD BE EXCEEDED?
THIS THEORY WAS PREPARED AS A CONSEQUENCE OF APPROXIMATELY 16 YEARS STUDY,
- WHOLE "666" PAGE
- INCLUDES ABOUT 100 THEOREMS,
- AND 1000 ILLUSTRATED DRAWINGS,
- ASSERTS THE NEW PHYSICS OF THE UNIVERSE.