Digital Commons Network^™

Inventio Summae Cuiusque Seriei Ex Dato Termino Generali, Leonhard Euler

All Works by Eneström Number

Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor series, builds a "Bernoulli polynomial" and uses it to evaluate 0ⁿ + 1ⁿ + 2ⁿ + 3ⁿ + ... + (x-1)ⁿ, (x = 1, 2, 3, ...) and gets the relationship (B+1)ⁿ⁺¹ – Bⁿ⁺¹ = 0 for Bernoulli numbers. He gets an infinite series approximation for the nth partial sum of the harmonic series.

Investigatio Binarum Curvarum, Quarum Arcus Eidem Abscissae Respondentes Summam Algebraicam Constituant, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler

All Works by Eneström Number

Euler proves the Chinese Remainder Theorem by constructing an algorithm to find the smallest number which, divided by given numbers, leaves given remainders. He begins by solving the case in which two relatively prime divisors with corresponding remainders are given and proposes that by repeating his algorithm, he can solve similar problems with any number of constraints. Euler then discusses scenarios in which divisors are not relatively prime, and ends the paper with an application of his algorithm to a classic problem: dating events in Roman indictions.

De Curvis Rectificabilibus Algebraicis Atque Traiectoriis Reciprocis Algebraicis, Leonhard Euler

All Works by Eneström Number

No abstract provided.

De Progressionibus Transcendentibus Seu Quarum Termini Generales Algebraice Dari Nequeunt, Leonhard Euler

All Works by Eneström Number

No abstract provided.

De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler

All Works by Eneström Number

For an equation of degree n, Euler wants to define a "resolvent equation" of degree n-1 whose roots are related to the roots of the original equation. Thus, by solving the resolvent one can solve the original equation. In sections 2 to 7 he works this out for quadratic, cubic, and biquadratic equations. In section 8 Euler says that he wants to try the same approach for solving the quintic equation and general nth degree equations. In the rest of the paper he tries to figure out in what cases resolvents will work.

Von Der Gestalt Der Erden, Leonhard Euler

All Works by Eneström Number

No abstract provided.

A Brief History Of The Pequot War (1736), John Mason, Paul Royster , Editor

Electronic Texts in American Studies

John Mason’s posthumously published account is the most complete contemporary history of the Pequot War of 1636–1637. Written around 1670, and published in part in 1677 (although misattributed by Increase Mather to John Allyn), the complete text was issued by Thomas Prince in 1736. That text is reproduced here in a corrected and annotated edition that includes Prince’s biographical sketch of Mason and various dedicatory and explanatory documents.

John Mason (c.1600–1672) commanded the Connecticut forces in the expedition that wiped out the Pequot fort and village at Mystic and in two subsequent operations that effectively eliminated the Pequots as a …

The Constitutions Of The Free-Masons, James Anderson, Benjamin Franklin

Zea E-Books in American Studies

This is an online electronic edition of the the first Masonic book printed in America, which was produced in Philadelphia by Benjamin Franklin in 1734, and was a reprint of a work by James Anderson (who is identified as the author in an appendix) printed in London in 1723. This is the seminal work of American Masonry, edited and published by one of the founding fathers, and of great importance to the development of colonial society and the formation of the Republic. The work contains a 40-page history of Masonry: from Adam to the reign of King George I, including, …

The Constitutions Of The Free-Masons (1734). An Online Electronic Edition., James Anderson A.M., Benjamin Franklin, Paul Royster (Editor & Depositor)

University of Nebraska-Lincoln Libraries: Faculty Publications

This is an online electronic edition of the the first Masonic book printed in America, which was produced in Philadelphia by Benjamin Franklin in 1734, and was a reprint of a work by James Anderson (who is identified as the author in an appendix) printed in London in 1723. This is the seminal work of American Masonry, edited and published by one of the founding fathers, and of great importance to the development of colonial society and the formation of the Republic. The work contains a 40-page history of Masonry: from Adam to the reign of King George I, including, …

A Divine And Supernatural Light, Immediately Imparted To The Soul By The Spirit Of God, Shown To Be Both A Scriptural, And Rational Doctrine, Jonathan Edwards, Reiner Smolinski

Electronic Texts in American Studies

The early stirrings of the Great Awakening were intensified by Edwards’ famous sermon A Divine and Supernatural Light, Immediately Imparted to the Soul by the Spirit of God (1734). Through a fascinating process of canceling out his opponents’ positions, Edwards clearly defines the workings of God’s grace in the human soul. He distinguishes between “Common Grace” (intrinsic to virtually all unregenerate), which acts upon the mind of natural man and assists the faculties of the soul in their natural course; and “Special Grace” (intrinsic to true saints only), which acts in the human heart and unites with the mind of …

The Negro Christianized. An Essay To Excite And Assist That Good Work, The Instruction Of Negro- Servants In Christianity, Cotton Mather

Zea E-Books in American Studies

There were enslaved Negroes in New England before there were Puritans there, and by 1700 they numbered about 1,000 out of a total population of 90,000. Roughly half of them lived in Massachusetts, and were concentrated in Boston and the coastal towns. Puritans actively participated in the colonial slave trade, importing them from the West Indies and sometimes selling Indian prisoners into overseas slavery.

Cotton Mather was a slave-owner, and his congregation at the Second (or North) Church included both slave merchants and Negroes. The pamphlet reprinted here appeared in 1706 without his name, but his authorship of it was …

The Negro Christianized. An Essay To Excite And Assist That Good Work, The Instruction Of Negro-Servants In Christianity (1706), Cotton Mather, Paul Royster , Editor

Electronic Texts in American Studies

There were Africans in New England before there were Puritans there, and by 1700 they numbered about 1,000 out of a total population of 90,000. Roughly half of them lived in Massachusetts, and were concentrated in Boston and the coastal towns. Puritans actively participated in the trafficking of enslaved persons, importing Africans from the West Indies and sometimes selling native American prisoners overseas.

Cotton Mather’s household contained enslaved Negro servants, and his congregation at the Second (or North) Church included both merchants of slavery and persons of African descent. The pamphlet reprinted here appeared in 1706 without his name, but …

A Two Years Journal In New-York: And Part Of Its Territories In America (1701), Charles Wolley A. M., Edward Gaylord Bourne, Paul Royster (Depositor)

University of Nebraska-Lincoln Libraries: Faculty Publications

This description of the city and inhabitants of New York and its environs was written by the Anglican chaplain who resided there in the years 1678–1680, who published it twenty years after his return to England. A large portion concerns the life and manners of the Native inhabitants, obtained both by direct observation and conversation, and by reports from the official government interpreter. The remainder concerns the habits and commerce of the largely Dutch inhabitants of the city. It is an anecdotal description, sprinkled with quotations from English and classical writers, but very homely in its accounts of such diverse …

New Yorke Considered And Improved A.D. 1695, John Miller, Victor Hugo Paltsits, Paul Royster (Depositor)

Electronic Texts in American Studies

The following work is essentially a line-for-line facsimile of Victor Hugo Paltsits’ edition of John Miller’s New Yorke Considered and Improved A.D. 1695. Miller’s work was written during his tenure as chaplain to the British soldiers stationed in New York from June 1692 until July 1695. His first draft was thrown overboard to avoid its falling into the hands of the French privateers who captured the ship in which he was returning to England. Miller re-wrote his work while imprisoned in France, finished it after his return to England in 1696, and presented it as a report to his …

The Wonders Of The Invisible World. Observations As Well Historical As Theological, Upon The Nature, The Number, And The Operations Of The Devils (1693), Cotton Mather, Reiner Smolinski , Editor

Electronic Texts in American Studies

I. Some Accounts of the Grievous Molestations, by DÆMONS and WITCHCRAFTS, which have lately annoy’d the Countrey; and the Trials of some eminent Malefactors Executed upon occasion thereof; with several Remarkable Curiosities therein occurring.
II. Some Counsils, Directing a due Improvement of the terrible things, lately done, by the Unusual & Amazing Range of EVIL SPIRITS, in Our Neighbourhood: & the methods to prevent the Wrongs which those Evil Angels may intend against all sorts of people among us; especially in Accusations of the Innocent.
III. Some Conjectures upon the great EVENTS, likely to befall, the WORLD in General, and …

Old Mens Tears For Their Own Declensions, Mixed With Fears Of Their And Posterities Further Falling Off From New-England’S Primitive Constitution., Joshua Scottow, Paul Royster , Editor

Joshua Scottow Papers

This is an online edition of Scottow’s popular tract, published in Boston in 1691, based on the first edition. Later editions were published in Boston in 1715, 1733, and 1749, and in New London in 1769. It is a searchable PDF document. The characteristics of Scottow’s original text (spelling, punctuation, capitalization, italics, etc.) have been retained. Obvious typographical errors have been corrected, and a list of emendations is included at the end. Its typographic design is based on that of the original.

The work decries the falling off of New England from the purity and purpose of its original founding, …

Old Mens Tears For Their Own Declensions, Mixed With Fears Of Their And Posterities Further Falling Off From New-England’S Primitive Constitution, Joshua Scottow

Zea E-Books in American Studies

This is an online edition of Scottow’s popular tract, published in Boston in 1691, based on the first edition. Later editions were published in Boston in 1715, 1733, and 1749, and in New London in 1769. It is a searchable PDF document. The characteristics of Scottow’s original text (spelling, punctuation, capitalization, italics, etc.) have been retained. Obvious typographical errors have been corrected, and a list of emendations is included at the end. Its typographic design is based on that of the original. The work decries the falling off of New England from the purity and purpose of its original founding, …

A Brief History Of The Warr With The Indians In New-England, Increase Mather

Zea E-Books in American Studies

This ebook represents a new edition of Increase Mather’s influential contemporary account of King Philip’s War, between the English colonists in New England (and their Native allies) and the Wampanoag, Naragansett, and other Indian nations of the region, beginning in 1675. Mather’s account runs through August of 1676, when hostilities in southern, central, and western New England ended; fighting continued in the region of Maine until 1678. The war was disastrous for both sides, but particularly for the hostile Native Americans, who were brought very close to extermination.

Mather describes his history as “brief” (its 30,00 words run to 89 …

A Brief History Of The Warr With The Indians In New-England (1676): An Online Electronic Text Edition, Increase Mather, Paul Royster (Editor)

University of Nebraska-Lincoln Libraries: Faculty Publications

The following pages represent a new edition of Increase Mather’s influential contemporary account of King Philip’s War, between the English colonists in New England (and their Native allies) and the Wampanoag, Naragansett, and other Indian nations of the region, beginning in 1675. Mather’s account runs through August of 1676, when hostilities in southern, central, and western New England ended; fighting continued in the region of Maine until 1678. The war was disastrous for both sides, but particularly for the hostile Native Americans, who were brought very close to extermination.

Mather describes his history as “brief” (it runs to 89 pages …

The Life And Death Of That Reverend Man Of God, Richard Mather, Teacher Of The Church In Dorchester In New-England. A Facsimile Reprint With An Introduction ..., Increase Mather, Benjamin Franklin V, William K. Bottoroff

Electronic Texts in American Studies

We most often turn to American Puritan prose to glean historicalor biographical data. If we seek a biography that spans the evolution of American Puritanism from its nadir in England through its zenith in the New England of the 1630's to 1650's, and to the beginning of its decline as symbolized by the "Half-Way Covenant" in 1662, we may turn to Increase Mather's biography of his father, The Life and Death of That Reverend Man of God, Mr. Richard Mather. It includes the background for the elder Mather's decision to emigrate to New England (events leading to his suspension from …

A Brief Recognition Of New-Englands Errand Into The Wilderness, Samuel Danforth

Zea E-Books in American Studies

Samuel Danforth’s election sermon of 1670 is a classic example of the New England jeremiad. Addressed to the assembled delegates on the occasion of the election of officers for the Massachusetts General Court, it asks the very pointed question: “What is it that distinguisheth New-England from other Colonies and Plantations in America?” The answer, of course, is that the Puritan colonies (Massachusetts, Plymouth, Connecticut, and New Haven) were founded for the pursuit of religious ends by the reformed Protestant churches of England:

“You have solemnly professed before God, Angels and Men, that the Cause of your leaving your Country, Kindred …

A Brief Recognition Of New-Englands Errand Into The Wilderness: An Online Electronic Text Edition, Samuel Danforth, Paul Royster (Transcriber & Editor)

University of Nebraska-Lincoln Libraries: Faculty Publications

Samuel Danforth’s election sermon of 1670 is a classic example of the New England jeremiad. Addressed to the assembled delegates on the occasion of the election of officers for the Massachusetts General Court, it asks the very pointed question: “What is it that distinguisheth New-England from other Colonies and Plantations in America?” The answer, of course, is that the Puritan colonies (Massachusetts, Plymouth, Connecticut, and New Haven) were founded for the pursuit of religious ends by the reformed Protestant churches of England:

“You have solemnly professed before God, Angels and Men, that the Cause of your leaving your Country, Kindred …

Constitutions Comparison: 1668, 1670

Constitutions and Rules

No abstract provided.

Codex: Sarzana English

Constitutions and Rules

No abstract provided.

Codex: Sarzana English + Notes

Constitutions and Rules

No abstract provided.

Constitutions Latin: 1668 To 1931

Constitutions and Rules

No abstract provided.

Constitutions Latin: 1668 To 1931

Constitutions and Rules

No abstract provided.

Codex: Sarzana Introduction

Constitutions and Rules

No abstract provided.

De Vita Et Instituto S. Ignatii, Societatis Iesu Fundatoris Libri Quinque, Daniello Bartoli 1608-1685

Jesuitica Books

This work is only the first part of a comprehensive history of the Company of Jesus written by Bartoli. It covers the life of Saint Ignatius of Loyola and the Jesuit Institutes and Constitution. Subsequent parts of the larger work cover the history of the Jesuits in Asia and Europe. The frontispiece is an engraving of Ignatius by Francois Cars. The book is 8.75 inches in height and is in the quarto format. An English translation of the title is The Life and Institute of St. Ignatius, Founder of the Society of Jesus, in Five Books.