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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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1828.mshaffer.comWord [ratio]

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# ratio

RA'TIO, n. ra'sho. [L. from ratus, reor, to think or suppose, to set, confirm or establish. Reor is contracted from redor or retor, and primarily signifies to throw, to thrust, hence to speak, to set in the mind, to think, like L. suppono; and setting gives the sense of a fixed rate or rule. See Reason.]

Proportion, or the relation of homogeneous things which determines the quantity of one from the quantity of another, without the intervention of a third.

The relation which one quantity has to another of the same kind, as expressed by the quotient of the one divided by the other. Thus the ratio of 4 to 2 is 4/2, or 2; and the ratio of 5 to 6 is 5/6. This is geometrical ratio, which is that signified when the term is used without distinction; but arithmetical ratio is the difference between two quantities. Thus the arithmetical ratio of 2 to 6 is 4.

Ratio respects magnitudes of the same kind only. One line may be compared with another line, but a line cannot be compared with a superficies, and hence between a line and a superficies there can be no ratio.

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

1828 Webster1844 Webster1913 Webster

RA'TIO, n. ra'sho. [L. from ratus, reor, to think or suppose, to set, confirm or establish. Reor is contracted from redor or retor, and primarily signifies to throw, to thrust, hence to speak, to set in the mind, to think, like L. suppono; and setting gives the sense of a fixed rate or rule. See Reason.]

Proportion, or the relation of homogeneous things which determines the quantity of one from the quantity of another, without the intervention of a third.

The relation which one quantity has to another of the same kind, as expressed by the quotient of the one divided by the other. Thus the ratio of 4 to 2 is 4/2, or 2; and the ratio of 5 to 6 is 5/6. This is geometrical ratio, which is that signified when the term is used without distinction; but arithmetical ratio is the difference between two quantities. Thus the arithmetical ratio of 2 to 6 is 4.

Ratio respects magnitudes of the same kind only. One line may be compared with another line, but a line cannot be compared with a superficies, and hence between a line and a superficies there can be no ratio.

RA'TIO, n. [ra'sho; L. from ratus, reor, to think or suppose, to set, confirm or establish. Reor is contracted from redor or retor, and primarily signifies to throw, to thrust, hence to speak, to set in the mind, to think, like L. suppono; and setting gives the sense of a fixed rate or rule. See Reason.]

Proportion, or the relation of homogeneous things which determines the quantity of one from the quantity of another without the intervention of a third. – Encyc. The relation which one quantity has to another of the same kind, as expressed by the quotient of the one divided by the other. Thus the ratio of 4 to 2 is 4/2 or 2; and the ratio of 5 to 6 is 5/6. This is geometrical ratio, which is that signified when the term is used without distinction; but arithmetical ratio is the difference between two quantities. Thus the arithmetical ratio of 2 to 8 is 4. Ratio respects magnitudes of the same kind only. One line may be compared with another line, but a line can not be compared with a superficies, and hence between a line and a superficies there can be no ratio. – Encyc.

Ra"ti*o
1. The relation which one quantity or magnitude has to another of the same kind. It is expressed by the quotient of the division of the first by the second; thus, the ratio of 3 to 6 is expressed by ***frac36] or ½ of a to b by a/b; or (less commonly) the second term is made the dividend; as, a:b = b/a.

* Some writers consider ratio as the quotient itself, making ratio equivalent to a number.

The term ratio is also sometimes applied to the difference of two quantities as well as to their quotient, in which case the former is called arithmetical ratio, the latter, geometrical ratio. The name ratio is sometimes given to the rule of three in arithmetic. See under Rule.

2. Hence, fixed relation of number, quantity, or degree; rate; proportion; as, the ratio of representation in Congress.

Compound ratio, Duplicate ratio, Inverse ratio, etc. See under Compound, Duplicate, etc. -- Ratio of a geometrical progression, the constant quantity by which each term is multiplied to produce the succeeding one.

1828 Webster1844 Webster1913 Webster

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Ratio

RA'TIO, noun ra'sho. [Latin from ratus, reor, to think or suppose, to set, confirm or establish. Reor is contracted from redor or retor, and primarily signifies to throw, to thrust, hence to speak, to set in the mind, to think, like Latin suppono; and setting gives the sense of a fixed rate or rule. See Reason.]

Proportion, or the relation of homogeneous things which determines the quantity of one from the quantity of another, without the intervention of a third.

The relation which one quantity has to another of the same kind, as expressed by the quotient of the one divided by the other. Thus the ratio of 4 to 2 is 4/2, or 2; and the ratio of 5 to 6 is 5/6. This is geometrical ratio which is that signified when the term is used without distinction; but arithmetical ratio is the difference between two quantities. Thus the arithmetical ratio of 2 to 6 is 4.

Ratio respects magnitudes of the same kind only. One line may be compared with another line, but a line cannot be compared with a superficies, and hence between a line and a superficies there can be no ratio

### Why 1828?

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It gives me the meaning of words intended back at the time the classics were written and truer meanings for words in the scriptures. Newer definitions are surface. This goes into the depth of the word. Love it! I have the hardcover at home.

— Marni (Clearfield, UT)

### 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

CONVENTION, n. [L. See Convene.]

1. The act of coming together; a meeting of several persons or individuals.

2. Union; coalition.

3. An assembly. In this sense, the word includes any formal meeting or collection of men for civil or ecclesiastical purposes; particularly an assembly of delegates or representatives for consultation on important concerns, civil, political or ecclesiastical. In Great Britain, convention is the name given to an extraordinary assembly of the estates of the realm, held without the kings writ; as the assembly which restored Charles II. to the throne, and that which declared the throne to be abdicated by James II. In the United States, this name is given to the assembly of representatives which forms a constitution of government, or political association; as the convention which formed the constitution of the United States in 1787.

4. An agreement or contract between two parties, as between the commanders of two armies; an agreement previous to a definitive treaty.

### 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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512

Compact Edition

314

217

CD-ROM

265

179

* 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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