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#### In my view, the Christian religion is the most important and one of the first things in which all children, under a free government ought to be instructed... No truth is more evident to my mind than that the Christian religion must be the basis of any government intended to secure the rights and privileges of a free people. - Preface

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# theorem

THE'OREM, n. [Gr. to see.]

1. In mathematics, a proposition which terminates in theory,and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together.

A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done.

2. In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols.

A universal theorem, extends to any quantity without restriction.

A particular theorem, extends only to a particular quantity.

A negative theorem, expresses the impossibility of any assertion.

A local theorem, is that which relates to a surface.

A solid theorem, is that which considers a space terminated by a solid, that is, by any of the three conic sections.

## Evolution (or devolution) of this word [theorem]

1828 Webster1844 Webster1913 Webster

THE'OREM, n. [Gr. to see.]

1. In mathematics, a proposition which terminates in theory,and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together.

A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done.

2. In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols.

A universal theorem, extends to any quantity without restriction.

A particular theorem, extends only to a particular quantity.

A negative theorem, expresses the impossibility of any assertion.

A local theorem, is that which relates to a surface.

A solid theorem, is that which considers a space terminated by a solid, that is, by any of the three conic sections.

THE'O-REM, n. [Fr. theoreme; Sp. and It. teorema; Gr. θεωρημα, from θεωρεω, to see.]

1. In mathematics, a proposition which terminates in theory, and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together. A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done. Day.
2. In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols. Cyc. A universal theorem, extends to any quantity without restriction. A particular theorem, extends only to a particular quantity. A negative theorem, expresses the impossibility of any assertion. A local theorem, is that which relates to a surface. A solid theorem, is that which considers a space terminated by a solid, that is, by any of the three conic sections.

The"o*rem
1. That which is considered and established as a principle; hence, sometimes, a rule.

Not theories, but theorems ((?)), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively. Coleridge.

By the theorems,
Which your polite and terser gallants practice,
I re-refine the court, and civilize
Their barbarous natures.
Massinger.

2. To formulate into a theorem.
3. A statement of a principle to be demonstrated.

* A theorem is something to be proved, and is thus distinguished from a problem, which is something to be solved. In analysis, the term is sometimes applied to a rule, especially a rule or statement of relations expressed in a formula or by symbols; as, the binomial theorem; Taylor's theorem. See the Note under Proposition, n., 5.

Binomial theorem. (Math.) See under Binomial. -- Negative theorem, a theorem which expresses the impossibility of any assertion. -- Particular theorem (Math.), a theorem which extends only to a particular quantity. -- Theorem of Pappus. (Math.) See Centrobaric method, under Centrobaric. -- Universal theorem (Math.), a theorem which extends to any quantity without restriction.

1828 Webster1844 Webster1913 Webster

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Theorem

THE'OREM, noun [Gr. to see.]

1. In mathematics, a proposition which terminates in theory, and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together.

A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done.

2. In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols.

A universal theorem extends to any quantity without restriction.

A particular theorem extends only to a particular quantity.

A negative theorem expresses the impossibility of any assertion.

A local theorem is that which relates to a surface.

A solid theorem is that which considers a space terminated by a solid, that is, by any of the three conic sections.

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### Word of the Day

IMPORT'ANCE, n.

1. Weight; consequence; a bearing on some interest; that quality of any thing by which it may affect a measure, interest or result. The education of youth is of great importance to a free government. A religious education is of infinite importance to every human being.

2. Weight or consequence in the scale of being.

Thy own importance know.

Nor bound thy narrow views to things below.

3. Weight or consequence in self-estimation.

He believes himself a man of importance.

4. Thing implied; matter; subject; importunity. [In these senses, obsolete.]

### Random Word

FELLOW-MA'IDEN, n. A maiden who is an associate.

### Noah's 1828 Dictionary

First dictionary of the American Language!

Noah Webster, the Father of American Christian education, wrote the first American dictionary and established a system of rules to govern spelling, grammar, and reading. This master linguist understood the power of words, their definitions, and the need for precise word usage in communication to maintain independence. Webster used the Bible as the foundation for his definitions.

This standard reference tool will greatly assist students of all ages in their studies.

No other dictionary compares with the Webster's 1828 dictionary. The English language has changed again and again and in many instances has become corrupt. The American Dictionary of the English Language is based upon God's written word, for Noah Webster used the Bible as the foundation for his definitions. This standard reference tool will greatly assist students of all ages in their studies. From American History to literature, from science to the Word of God, this dictionary is a necessity. For homeschoolers as well as avid Bible students it is easy, fast, and sophisticated.

Regards,

monte

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### Project:: 1828 Reprint

Hard-cover Edition

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Compact Edition

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CD-ROM

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* As a note, I have purchased each of these products. In fact, as we have been developing the Project:: 1828 Reprint, I have purchased several of the bulky hard-cover dictionaries. My opinion is that the 2000-page hard-cover edition is the only good viable solution at this time. The compact edition was a bit disappointing and the CD-ROM as well.

Our goal is to convert the facsimile dictionary (PDF available: v1 and v2) to reprint it and make it digitally available in several formats.

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