Formula For Section Modulus Images #1 Hollow Circle (Annulus) - Geometric Properties

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Formula For Section Modulus Images #1 Hollow Circle (Annulus) - Geometric Properties

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Formula For Section Modulus Images #1 Hollow Circle (Annulus) - Geometric Properties Pictures Collection

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Formula

for•mu•la (fôrmyə lə),USA pronunciation n., pl.  -las, -lae 
    (-lē′).USA pronunciation 
  1. a set form of words, as for stating or declaring something definitely or authoritatively, for indicating procedure to be followed, or for prescribed use on some ceremonial occasion.
  2. any fixed or conventional method for doing something: His mystery stories were written according to a popular formula.
    • a rule or principle, frequently expressed in algebraic symbols.
    • such a symbolic expression.
  3. an expression of the constituents of a compound by symbols and figures. Cf. empirical formula, molecular formula, structural formula.
  4. a recipe or prescription: a new formula for currant wine.
  5. a special nutritive mixture, esp. of milk, sugar, and water, in prescribed proportions for feeding a baby.
  6. a formal statement of religious doctrine.
  7. (cap.) a set of specifications as to weight, engine displacement, fuel capacity, etc., for defining a class of racing cars (usually followed by a limiting numerical designation): Some races are open to Formula One cars.

For

for (fôr; unstressed fər),USA pronunciation prep. 
  1. with the object or purpose of: to run for exercise.
  2. intended to belong to, or be used in connection with: equipment for the army; a closet for dishes.
  3. suiting the purposes or needs of: medicine for the aged.
  4. in order to obtain, gain, or acquire: a suit for alimony; to work for wages.
  5. (used to express a wish, as of something to be experienced or obtained): O, for a cold drink!
  6. sensitive or responsive to: an eye for beauty.
  7. desirous of: a longing for something; a taste for fancy clothes.
  8. in consideration or payment of;
    in return for: three for a dollar; to be thanked for one's efforts.
  9. appropriate or adapted to: a subject for speculation; clothes for winter.
  10. with regard or respect to: pressed for time; too warm for April.
  11. during the continuance of: for a long time.
  12. in favor of;
    on the side of: to be for honest government.
  13. in place of;
    instead of: a substitute for butter.
  14. in the interest of;
    on behalf of: to act for a client.
  15. in exchange for;
    as an offset to: blow for blow; money for goods.
  16. in punishment of: payment for the crime.
  17. in honor of: to give a dinner for a person.
  18. with the purpose of reaching: to start for London.
  19. contributive to: for the advantage of everybody.
  20. in order to save: to flee for one's life.
  21. in order to become: to train recruits for soldiers.
  22. in assignment or attribution to: an appointment for the afternoon; That's for you to decide.
  23. such as to allow of or to require: too many for separate mention.
  24. such as results in: his reason for going.
  25. as affecting the interests or circumstances of: bad for one's health.
  26. in proportion or with reference to: He is tall for his age.
  27. in the character of;
    as being: to know a thing for a fact.
  28. by reason of;
    because of: to shout for joy; a city famed for its beauty.
  29. in spite of: He's a decent guy for all that.
  30. to the extent or amount of: to walk for a mile.
  31. (used to introduce a subject in an infinitive phrase): It's time for me to go.
  32. (used to indicate the number of successes out of a specified number of attempts): The batter was 2 for 4 in the game.
  33. for it, See  in (def. 21).

conj. 
  1. seeing that;
    since.
  2. because.

Section

sec•tion (sekshən),USA pronunciation n. 
  1. a part that is cut off or separated.
  2. a distinct part or subdivision of anything, as an object, country, community, class, or the like: the poor section of town; the left section of a drawer.
  3. a distinct part or subdivision of a writing, as of a newspaper, legal code, chapter, etc.: the financial section of a daily paper; section 2 of the bylaws.
  4. one of a number of parts that can be fitted together to make a whole: sections of a fishing rod.
  5. (in most of the U.S. west of Ohio) one of the 36 numbered subdivisions, each one square mile (2.59 sq. km or 640 acres), of a township.
  6. an act or instance of cutting;
    separation by cutting.
    • the making of an incision.
    • an incision.
  7. a thin slice of a tissue, mineral, or the like, as for microscopic examination.
  8. a representation of an object as it would appear if cut by a plane, showing its internal structure.
  9. [Mil.]
    • a small unit consisting of two or more squads.
    • Also called  staff section. any of the subdivisions of a staff.
    • a small tactical division in naval and air units.
    • a division of a sleeping car containing both an upper and a lower berth.
    • a length of trackage, roadbed, signal equipment, etc., maintained by one crew.
  10. any of two or more trains, buses, or the like, running on the same route and schedule at the same time, one right behind the other, and considered as one unit, as when a second is necessary to accommodate more passengers than the first can carry: On holidays the New York to Boston train runs in three sections.
  11. a segment of a naturally segmented fruit, as of an orange or grapefruit.
  12. a division of an orchestra or band containing all the instruments of one class: a rhythm section.
  13. [Bookbinding.]signature (def. 8).
  14. Also called  section mark. a mark used to indicate a subdivision of a book, chapter, or the like, or as a mark of reference to a footnote.
  15. [Theat.]one of a series of circuits for controlling certain lights, as footlights.
  16. shape (def. 12).

v.t. 
  1. to cut or divide into sections.
  2. to cut through so as to present a section.
  3. to make an incision.

Modulus

mod•u•lus (mojə ləs),USA pronunciation n., pl.  -li (lī).USA pronunciation 
  1. a coefficient pertaining to a physical property.
  2. [Math.]
    • that number by which the logarithms in one system are multiplied to yield the logarithms in another.
    • a quantity by which two given quantities can be divided to yield the same remainders.
    • See  absolute value. 

Images

im•age (imij),USA pronunciation n., v.,  -aged, -ag•ing. 
n. 
  1. a physical likeness or representation of a person, animal, or thing, photographed, painted, sculptured, or otherwise made visible.
  2. an optical counterpart or appearance of an object, as is produced by reflection from a mirror, refraction by a lens, or the passage of luminous rays through a small aperture and their reception on a surface.
  3. a mental representation;
    idea;
    conception.
  4. a mental representation of something previously perceived, in the absence of the original stimulus.
  5. form;
    appearance;
    semblance: We are all created in God's image.
  6. counterpart;
    copy: That child is the image of his mother.
  7. a symbol;
    emblem.
  8. the general or public perception of a company, public figure, etc., esp. as achieved by careful calculation aimed at creating widespread goodwill.
  9. a type;
    embodiment: Red-faced and angry, he was the image of frustration.
  10. a description of something in speech or writing: Keats created some of the most beautiful images in the language.
  11. a figure of speech, esp. a metaphor or a simile.
  12. an idol or representation of a deity: They knelt down before graven images.
  13. the point or set of points in the range corresponding to a designated point in the domain of a given function.
  14. [Archaic.]an illusion or apparition.

v.t. 
  1. to picture or represent in the mind;
    imagine;
    conceive.
  2. to make an image of;
    portray in sculpture, painting, etc.
  3. to project (photographs, film, etc.) on a surface: Familiar scenes were imaged on the screen.
  4. to reflect the likeness of;
    mirror.
  5. to set forth in speech or writing;
    describe.
  6. to symbolize;
    typify.
  7. to resemble.
  8. [Informal.]to create an image for (a company, public figure, etc.): The candidate had to be imaged before being put on the campaign trail.
  9. to transform (data) into an exact replica in a different form, as changing digital data to pixels for display on a CRT or representing a medical scan of a body part in digital form.
image•a•ble, adj. 
imag•er, n. 

Hollow

hol•low (holō),USA pronunciation adj.,  -er, -est, n., v., adv. 
adj. 
  1. having a space or cavity inside;
    not solid;
    empty: a hollow sphere.
  2. having a depression or concavity: a hollow surface.
  3. sunken, as the cheeks or eyes.
  4. (of sound) not resonant;
    dull, muffled, or deep: a hollow voice.
  5. without real or significant worth;
    meaningless: a hollow victory.
  6. insincere or false: hollow compliments.
  7. hungry;
    having an empty feeling: I feel absolutely hollow, so let's eat.

n. 
  1. an empty space within anything;
    a hole, depression, or cavity.
  2. a valley: They took the sheep to graze in the hollow.
  3. [Foundry.]a concavity connecting two surfaces otherwise intersecting at an obtuse angle.

v.t. 
  1. to make hollow (often fol. by out): to hollow out a log.
  2. to form by making something hollow (often fol. by out): to hollow a place in the sand; boats hollowed out of logs.

v.i. 
  1. to become hollow.

adv. 
  1. in a hollow manner: The politician's accusations rang hollow.
  2. beat all hollow, to surpass or outdo completely: His performance beat the others all hollow.
Also,  beat hollow.  hollow•ly, adv. 
hollow•ness, n. 

Circle

cir•cle (sûrkəl),USA pronunciation n., v.,  -cled, -cling. 
n. 
  1. a closed plane curve consisting of all points at a given distance from a point within it called the center. Equation: x2 + y2 = r2.
  2. the portion of a plane bounded by such a curve.
  3. any circular or ringlike object, formation, or arrangement: a circle of dancers.
  4. a ring, circlet, or crown.
  5. the ring of a circus.
  6. a section of seats in a theater: dress circle.
  7. the area within which something acts, exerts influence, etc.;
    realm;
    sphere: A politician has a wide circle of influence.
  8. a series ending where it began, esp. when perpetually repeated;
    cycle: the circle of the year.
  9. [Logic.]an argument ostensibly proving a conclusion but actually assuming the conclusion or its equivalent as a premise;
    vicious circle.
  10. a complete series forming a connected whole;
    cycle: the circle of the sciences.
  11. a number of persons bound by a common tie;
    coterie: a literary circle; a family circle.
  12. an administrative division, esp. of a province.
  13. a parallel of latitude.
    • (formerly) the orbit of a heavenly body.
    • See  meridian circle. 
  14. a glass or metal disk mounted concentrically with the spindle of a theodolite or level and graduated so that the angle at which the alidade is set may be read.
  15. a sphere or orb: the circle of the earth.
  16. a ring of light in the sky;
    halo.

v.t. 
  1. to enclose in a circle;
    surround;
    encircle: Circle the correct answer on the exam paper. The enemy circled the hill.
  2. to move in a circle or circuit around;
    rotate or revolve around: He circled the house cautiously.
  3. to change course so as to pass by or avoid collision with;
    bypass;
    evade: The ship carefully circled the iceberg.
  4. circle the wagons: 
    • (in the early U.S. West) to form the wagons of a covered-wagon train into a circle for defensive purposes, as against Indian attack.
    • to prepare for an all-out, unaided defensive fight: The company has circled the wagons since its market share began to decline.

v.i. 
  1. to move in a circle or circuit: The plane circled for half an hour before landing.
  2. [Motion Pictures, Television.]to iris (usually fol. by in or out).
circler, n. 

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