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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

1828 Noah Webster Dictionary
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1828.mshaffer.comWord [focus]

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focus

FO'CUS, n. plu. focuses, or foci. [L. focus, a fire, the hearth.]

1. In optics, a point in which any number of rays of light meet, after being reflected or refracted; as the focus of a lens.

2. In geometry and conic sections, a certain point in the parabola, ellipsis and hyperbola, where rays reflected from all parts of these curves, concur or meet.

The focus of an ellipsis, is a point towards each end of the longer axis, from which two right lines drawn to any point in the circumference, shall together be equal to the longer axis.

The focus of a parabola, is a point in the axis within the figure, and distant from the vertex by the fourth part of the parameter.

The focus of a hyperbola, is a point in the principal axis, within the opposite hyperbolas, from which if any two lines are drawn, meeting in either of the opposite hyperbolas, the difference will be equal to the principal axis.

3. A central point; point of concentration.



Evolution (or devolution) of this word [focus]

1828 Webster1844 Webster1913 Webster

FO'CUS, n. plu. focuses, or foci. [L. focus, a fire, the hearth.]

1. In optics, a point in which any number of rays of light meet, after being reflected or refracted; as the focus of a lens.

2. In geometry and conic sections, a certain point in the parabola, ellipsis and hyperbola, where rays reflected from all parts of these curves, concur or meet.

The focus of an ellipsis, is a point towards each end of the longer axis, from which two right lines drawn to any point in the circumference, shall together be equal to the longer axis.

The focus of a parabola, is a point in the axis within the figure, and distant from the vertex by the fourth part of the parameter.

The focus of a hyperbola, is a point in the principal axis, within the opposite hyperbolas, from which if any two lines are drawn, meeting in either of the opposite hyperbolas, the difference will be equal to the principal axis.

3. A central point; point of concentration.

FO'CUS, n. [plur. Focuses or Foci. L. focus, a fire, the hearth; Sp. fuego; Port. fogo; It. fuoco; Fr. feu; Arm. fo.]

  1. In optics, a point in which any number of rays of light meet, after being reflected or refracted; as, the focus of a lens. Encyc. Newton.
  2. In geometry and conic sections, a certain point in the parabola, ellipsis and hyperbola, where rays reflected from all parts of these curves, concur or meet. Encyc. The focus of an ellipsis, is a point toward each end of the longer axis, from which two right lines drawn to any point in the circumference, shall together be equal to the longer axis. Harris. The focus of a parabola, is a point in the axis within the, figure, and distant from the vertex by the fourth part of the parameter. Harris. The focus of a hyperbola, is a point in the principle axis, within the opposite hyperbolas, from which if any two lines are drawn, meeting in either of the opposite hyperbolas, the difference will be equal to the principal axis. Dict.
  3. A central point; point of concentration.

Fo"cus
  1. A point in which the rays of light meet, after being reflected or refracted, and at which the image is formed; as, the focus of a lens or mirror.
  2. To bring to a focus] to focalize; as, to focus a camera.

    R. Hunt.
  3. A point so related to a conic section and certain straight line called the directrix that the ratio of the distance between any point of the curve and the focus to the distance of the same point from the directrix is constant.

    * Thus, in the ellipse FGHKLM, A is the focus and CD the directrix, when the ratios FA:FE, GA:GD, MA:MC, etc., are all equal. So in the hyperbola, A is the focus and CD the directrix when the ratio HA:HK is constant for all points of the curve; and in the parabola, A is the focus and CD the directrix when the ratio BA:BC is constant. In the ellipse this ratio is less than unity, in the parabola equal to unity, and in the hyperbola greater than unity. The ellipse and hyperbola have each two foci, and two corresponding directrixes, and the parabola has one focus and one directrix. In the ellipse the sum of the two lines from any point of the curve to the two foci is constant; that is: AG+GB=AH+HB; and in the hyperbola the difference of the corresponding lines is constant. The diameter which passes through the foci of the ellipse is the major axis. The diameter which being produced passes through the foci of the hyperbola is the transverse axis. The middle point of the major or the transverse axis is the center of the curve. Certain other curves, as the lemniscate and the Cartesian ovals, have points called foci, possessing properties similar to those of the foci of conic sections. In an ellipse, rays of light coming from one focus, and reflected from the curve, proceed in lines directed toward the other; in an hyperbola, in lines directed from the other; in a parabola, rays from the focus, after reflection at the curve, proceed in lines parallel to the axis. Thus rays from A in the ellipse are reflected to B; rays from A in the hyperbola are reflected toward L and M away from B.

  4. A central point; a point of concentration.

    Aplanatic focus. (Opt.) See under Aplanatic. -- Conjugate focus (Opt.), the focus for rays which have a sensible divergence, as from a near object; -- so called because the positions of the object and its image are interchangeable. -- Focus tube (Phys.), a vacuum tube for Rœntgen rays in which the cathode rays are focused upon the anticathode, for intensifying the effect. -- Principal, or Solar, focus (Opt.), the focus for parallel rays.

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Focus

FO'CUS, noun plural focuses, or foci. [Latin focus a fire, the hearth.]

1. In optics, a point in which any number of rays of light meet, after being reflected or refracted; as the focus of a lens.

2. In geometry and conic sections, a certain point in the parabola, ellipsis and hyperbola, where rays reflected from all parts of these curves, concur or meet.

The focus of an ellipsis, is a point towards each end of the longer axis, from which two right lines drawn to any point in the circumference, shall together be equal to the longer axis.

The focus of a parabola, is a point in the axis within the figure, and distant from the vertex by the fourth part of the parameter.

The focus of a hyperbola, is a point in the principal axis, within the opposite hyperbolas, from which if any two lines are drawn, meeting in either of the opposite hyperbolas, the difference will be equal to the principal axis.

3. A central point; point of concentration.

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Defines Bible word meanings

— Bob (Fort Pierce, FL)

Word of the Day

importance

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

serration

SERRA'TION, n. Formation in the shape of a saw.

Noah's 1828 Dictionary

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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.

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1828 Noah Webster Dictionary

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