Special attention has been paid to the requirements of the College Entrance Board. The book contains more material than is required for some first courses in Trigonometry, but the matter has been so arranged that the teacher can make such omissions as will suit his particular needs.

The trigonometric functions are defined as ratios; first for acute angles in right triangles, and then these definitions are extended to angles in general by means of coordinates.

The student is first taught to...

THE LOVE between man and woman has been told in story and poem since long before the days of Sappho. It forms, indeed, the subject of the great bulk of what we call literature. In music, love's domain is less extended. With the exception song and the opera, most of the greatest music has, in its title at least, no hint of the great heart historyof human kind.

In this respect the plastic arts are more allied to music than to literature. The masterpieces in painting and sculpture generally not ...

Charles Darwin's The Origin of Species, published on 24 November 1859, is a work of scientific literature which is considered to be the foundation of evolutionary biology. Its full title was On the Origin of Species by Means of Natural Selection, or the Preservation of Favoured Races in the Struggle for Life. For the sixth edition of 1872, the short title was changed to The Origin of Species.

Darwin's book introduced the scientific theory that populations evolve over the course of generations...

In this second illustrated and including "added map" book (Volume-II)

contains belove ancient cities;

I. MESSENE

II. MYCENÆ

III. MILETUS

IV. NAUPLIA

V. NEMEA

VI. NINEVEH

VII. NUMANTIA

VIII. OLYMPIA

IX. PUTEOLI

X. PALMYRA (TADMOR)

XI. PATRÆ

XII. PELLA

XIII. PERGAMUS

XIV. PERSEPOLIS

XV. PETRA (WADY MOUSA)

XVI. PHIGALIA

XVII. PLATÆA

XVIII. PÆSTUM

XIX. POMPEII

XX. RAMA

XXI. ROME

XXII. SAGUNTUM

XXIII. SAIS

XXIV. SAMARIA

XXV. SAPPHURA

XXVI. SARDIS

XXVII. SELEUCIA

XXVIII. SELINUS, OR SELINUNTUM

...

It was about sixty years ago when there appeared the first glimmerings Of the knowledge which has since ripened into that which we now possess, that neither the molecules of any natural object nor the parts Of which those molecules consist are ever at rest; that, on the contrary, swift and orderly movements are ever in progress among them and within them; and that where bodies appear to us to be stationary, it is only be cause this great internal activity is on too small a scale, the parts mo...

In preparing this book, the author had especially in mind classes in the upper grades of grammar schools, though the work will be found equally well adapted to the needs of any classes of beginners.

The ideas which have guided in the treatment of the subject are the following:

The study of algebra is a continuation of what the pupil has been doing for years, but it is expected that this new work will result in a knowledge of general truths about numbers, and an increased power of clear thinking.

All the differences between this work and that pursued in arithmetic may be traced to the introduction of two new elements, namely, negative numbers and the representation of numbers by letters. The solution of problems is one of the most valuable portions of the work, in that it serves to develop the thought-power of the pupil at the same time that it broadens his knowledge of numbers and their relations. Powers are developed and habits formed only by persistent, long-continued practi...

An Inquiry into the Nature and Causes of the Wealth of Nations, generally referred to by its shortened title The Wealth of Nations, is the magnum opus of the Scottish economist and moral philosopher Adam Smith. First published in 1776, the book offers one of the world's first collected descriptions of what builds nations' wealth, and is today a fundamental work in classical economics. By reflecting upon the economics at the beginning of the Industrial Revolution, the book touches upon such br...

The materials for the sketch of this astonishing man are sufficiently abundant. We make special use in this place of those charming letters which his daughter wrote to him from her convent home. More than a hundred of these have been preserved, and it may well be doubted whether any more beautiful and touching series of letters addressed to a parent by a dearly loved child have ever been written. An admirable account of this correspondence is contained in a little book entitled "The Private L...

In Group Psychology and the Analysis of the Ego, (1922), Sigmund Freud based his preliminary description of group psychology on Le Bon's work, but went on to develop his own, original theory, related to what he had begun to elaborate in Totem and Taboo. Theodor Adorno reprised Freud's essay in 1951 with his Freudian Theory and the Pattern of Fascist Propaganda, and said that "It is not an overstatement if we say that Freud, though he was hardly interested in the political phase of the problem...

THIS little Hand-book is intended to supply manufacturing chemists, dyers, drysalters, druggists, brokers, and all persons interested in the chemical arts, with directions for the assay and valuation of those articles of commerce which come into their hands. For this purpose the best and simplest methods have been selected, and stated, it is hoped, with the needful clearness.

The impurities-accidental or intentional-found in each substance are also noted. Articles of food are not included in ...