Open Access. Powered by Scholars. Published by Universities.®
- Discipline
Articles 1 - 4 of 4
Full-Text Articles in Algebraic Geometry
The Important Lines In A Triangle, Jane Bogiel
The Important Lines In A Triangle, Jane Bogiel
Bachelors’ Theses
Geometry, as one of the fields of Mathematics, has been the object of extensive studies in ancient, Greek times, as well as in modern times, times of revival of scientific interests and researches. Analytical, descriptive, and projective geometry has been introduced as means of symplifying the study of the relations of different geometrical elements. Consequently, pure geometrical methods have been almost altogether abandonned, and, it is only in introducing basic geometrical concepts that they are now used. --This, however, seems to be the only reasonable course as long as the new methods do not change the basic structure of the …
The Sine-Function, Audrey Siehr
The Sine-Function, Audrey Siehr
Bachelors’ Theses
Since the sine function is one of the most important elements of that phase of mathematics known as Trigonometry, it is only proper that we pause a moment for a short explanation of that subject. Trigonometry originated with the Greeks as the name itself implies. It was derived from the two Greek words trlgonon, meaning triangle; and metria, meaning measure. Trigonometry, then, dealt with problems related to measuring triangles.
A Study Of The Groups Of The Regular Solids, Lawrence J. Stanton
A Study Of The Groups Of The Regular Solids, Lawrence J. Stanton
Bachelors’ Theses
Groups of movements are special groups in general group theory. Particular groups of movements are those obtained by rotating the regular solids. Before we take up the study of these groups of the regular solids, we shall first discuss subjects related to this work, namely, inversion in a sphere, stereographic projection, and rotations in a sphere.
Hyperbolic Functions, Margaret S. Johnston
Hyperbolic Functions, Margaret S. Johnston
Bachelors’ Theses
A Study of hyperbolic functions is both interesting and fruitful because of their important and historical relation to the more elementary branches of Mathematics: Trigonometry, Analytical Geometry and Differential and Integral Calculus. Historically the development of hyperbolic functions has been closely associated with the development of the properties of the circle, ellipse, and hyperbola; the earliest knowledge of the functions rising out of a comparative study of these curves, and resting on more analogy rather than clear definition and proof.