Vocabulary

  • have to: Must do
  • think of: To look on as (being something specific); consider
  • in time: Eventually; after a period of time.
  • got to: To arrive at some place
  • for instance: As an example.
  • in order to: For the purpose of; with the aim of.
  • interact with
  • put together: To build or assemble something small, e.g. a toy
  • going on: To continue doing something
  • name for: To give someone or something a particular name, often in honor of someone else.
  • for some reason: For a reason that is not known or not easily explained.
  • the following: Next in order or sequence.
  • at the same time: Simultaneously; at the identical moment.
  • same time: Occurring simultaneously or at the same point in time.
  • hanging out: To spend time with your friends
  • in part: To some extent; partially.
  • drink out: To consume all the drinks available at a place.
  • think about: To consider something carefully.
  • as long as: For the period that; provided that.
  • to do with: To be about something; concern
  • look to: Be looking to. be planning to (do something)
  • at least: As a minimum
  • wake up: To stop sleeping
  • in real life: In the physical world; not online or in a fictional setting.
  • in fact: Used to emphasize the truth of a statement, especially one that contrasts with or contradicts something else.
  • in particular: Specifically; especially.
  • no matter: Regardless of; it does not matter.
  • answer to: To be responsible to someone and have to explain your actions to them.
  • rather than: More exactly; more correctly
  • look at: To use your eyes to focus on something
  • thanks to: Because of; as a result of.
  • zoom in on: To adjust a camera or lens to make a subject appear closer.
  • in on: To be involved in a secret or plan.
  • call in: To ask others for help when in need
  • figure out: To understand the behavior of someone
  • fit into: To be small enough to go inside something.
  • in a while: In a short period of time; soon.
  • once in a while: Occasionally; not very often.
  • add up to: To amount to a particular sum or total.
  • those times: A period in the past, often remembered fondly.
  • squeeze out: To remove an object by pressing something firmly
  • instead of: When one thing is replaced by another
  • based on: To use something as the foundation or starting point for something else.
  • sort: To organize things by putting them into groups
  • incredible: Very good; amazing
  • context: Set of facts surrounding a person or event
  • figure: To appear in a game, play or event
  • constant: Happening frequently or without pause
  • physical: Health check at the doctors' or hospital
  • basically: Used before you explain something simply, clearly
  • instance: An example of something; case
  • spot: A certain place or area
  • sense: Certain mental feeling or emotion
  • purpose: Reason for which something is done; aim; goal
  • variety: Particular type of thing or person
  • random: Chosen, done without a particular plan or pattern
  • imagine: To think creatively about; form mental picture of
  • property: Particular quality that someone or something has
  • theory: Ideas or principles that explain facts or events
  • flat: Apartment; set of rooms for living in
  • surface: To give (road) a top layer
  • form: Sports team or person's current winning record
  • stock: Animals such as cattle kept for breeding
  • involve: To have or be included as a part of something
  • strip: To remove your clothes (often sexily for someone)
  • infinite: Being very large in amount
  • distance: Lack of friendliness toward another person
  • shape: The outer form of something, what it looks like
  • straw: Dry yellow stems of crops such as wheat
  • satellite: Device sent into space that aids communication
  • totally: In a complete way; completely; absolutely
  • ratio: The relationship in relative size, etc.
  • lot: What happens to a person in life from chance; fate
  • kind: In a caring and helpful manner
  • inception: Beginning or start of (institution or business)
  • point: An item to be discussed
  • find: To become aware of something that is happening
  • set: Prepared for something; ready
  • question: To ask for or try to get information
  • person: Man, woman or child
  • space: Empty area kept for a specific reason, like a car
  • algebra: Math using letters or symbols in place of numbers
  • sphere: Area of interest or activity
  • diameter: Distance across the center of an object
  • mystical: Awe-inspiring or mysterious
  • rectangle: Four-sided geometrical shape with all right angles
  • dimensional: Concerning how many planes an object exists in
  • geometry: Mathematical study of shapes, surfaces, and space
  • cube: Solid object that has six square sides
  • zoom: Camera lens used to magnify images
  • circumference: Length around an outer boundary, e.g. a circle
  • fractal: Geometric pattern that is repeated at every scale
  • decimal: Number using one equal tenth of a whole as a basis
  • triangle: Three people connected with each in a relationship
  • geometric: With regular mathematical patterns/straight lines
  • bagel: Glazed yeast-raised doughnut-shaped roll
  • theorem: A statement that can be proved
  • pi: The ratio of the circumference to the diameter
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  • not found vocabularyNo vocabulary matches your filters
    • add up to

      US /æd ʌp tu/

      UK /æd ʌp tu:/

      • Phrasal Verb
      • To amount to a particular sum or total.
      • To have a particular result or effect; to be equal to.
      A2
      More
    • algebra

      US /ˈældʒəbrə/

      UK /ˈældʒɪbrə/

      • Uncountable Noun
      • Math using letters or symbols in place of numbers
      C1
      More
    • answer to

      US

      UK

      • Phrasal Verb
      • To be responsible to someone and have to explain your actions to them.
      • To correspond to or match a description or requirement.
      A1
      More
    • as long as

      US /æz lɔŋ æz/

      UK /æz lɔŋ æz/

      • Conjunction
      • For the period that; provided that.
      • For the length of time that
      • Preposition
      • On the condition that; providing that.
      • Having the same length as.
      A1
      More
    • at least

      US /æt list/

      UK /æt li:st/

      • Adverb
      • As a minimum
      • Not less than
      • Phrase
      • No less than; at the minimum
      • Used to indicate that something is positive in a bad situation.
      C2
      More
    • at the same time

      US

      UK

      • Phrase
      • Simultaneously; at the identical moment.
      • Nevertheless; however; used to introduce a contrasting or qualifying statement.
      A1
      More
    • bagel

      US

      UK

      • Countable Noun
      • Glazed yeast-raised doughnut-shaped roll
      B2
      More
    • based on

      US

      UK

      • Phrasal Verb
      • To use something as the foundation or starting point for something else.
      • Preposition
      • Using something as the main idea or foundation.
      • Relying on something as evidence or justification.
      A1
      More
    • basically

      US /ˈbesɪkəli,-kli/

      UK /ˈbeɪsɪkli/

      • Adverb
      • Used before you explain something simply, clearly
      • In essence; when you consider the most important aspects of something.
      A2
      More
    • call in

      US /kɔl ɪn/

      UK /kɔ:l in/

      • Phrasal Verb
      • To ask others for help when in need
      • To make a phone call to your office; to contact
      A1
      More
    • circumference

      US /sərˈkʌmfərəns/

      UK /səˈkʌmfərəns/

      • Noun
      • Length around an outer boundary, e.g. a circle
      C1
      More
    • constant

      US /ˈkɑnstənt/

      UK /'kɒnstənt/

      • Adjective
      • Happening frequently or without pause
      • Remaining the same over time or not changing.
      • Noun
      • Thing that happens always or at a regular rate
      • A physical quantity that is believed to have a fixed value and is used in calculations.
      A2TOEIC
      More
    • context

      US /ˈkɑnˌtɛkst/

      UK /ˈkɒntekst/

      • Noun (Countable/Uncountable)
      • Set of facts surrounding a person or event
      • The circumstances that form the setting for an event, statement, or idea, and in terms of which it can be fully understood and assessed.
      A2
      More
    • cube

      US /kjub/

      UK /kju:b/

      • Noun
      • Solid object that has six square sides
      • Transitive Verb
      • To cut food into the shape of small cubes
      • To multiply a number by itself three times
      B2
      More
    • decimal

      US /ˈdɛsəməl/

      UK /'desɪml/

      • Noun
      • Number using one equal tenth of a whole as a basis
      B2
      More
    • diameter

      US /daɪˈæmɪtɚ/

      UK /daɪˈæmɪtə(r)/

      • Noun
      • Distance across the center of an object
      B1
      More
    • dimensional

      US /dɪˈmɛnʃənl:/

      UK /dɪ'menʃənəl/

      • Adjective
      • Concerning how many planes an object exists in
      B1
      More
    • distance

      US /ˈdɪstəns/

      UK /'dɪstəns/

      • Uncountable Noun
      • Lack of friendliness toward another person
      • Noun (Countable/Uncountable)
      • Amount of space between two places or things
      • A point or place that is far away.
      A2
      More
    • drink out

      US

      UK

      • Phrasal Verb
      • To consume all the drinks available at a place.
      A1
      More
    • figure out

      US /ˈfɪɡjɚ aʊt/

      UK /ˈfiɡə aut/

      • Phrasal Verb
      • To understand the behavior of someone
      • To think through logically to find a solution
      • Verb (Transitive/Intransitive)
      • To understand or find an answer to something.
      • To find a solution to a problem or understand something.
      A1
      More
    • fit into

      US /fɪt ˈɪntu/

      UK /fit ˈɪntuː/

      • Phrasal Verb
      • To be small enough to go inside something.
      • To feel like you belong to a group.
      A2
      More
    • flat

      US /flæt/

      UK /flæt/

      • Noun (Countable/Uncountable)
      • Apartment; set of rooms for living in
      • The smooth or level part of something
      • Verb (Transitive/Intransitive)
      • To share an apartment with someone
      • To fail to produce the intended effect; to be unsuccessful or uninteresting.
      A2
      More
    • for instance

      US /fɔr ˈɪnstəns/

      UK /fɔ: ˈinstəns/

      • Adverb
      • As an example.
      • Phrase
      • As an example.
      • As an illustration or case in point
      B1
      More
    • for some reason

      US /fɔr sʌm ˈrizən/

      UK /fɔ: sʌm ˈri:zən/

      • Phrase
      • For a reason that is not known or not easily explained.
      A1
      More
    • fractal

      US /ˈfræktəl/

      UK /ˈfræktl/

      • Adjective
      • Geometric pattern that is repeated at every scale
      • Relating to or resembling a fractal.
      • Noun
      • A geometric shape that contains detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.
      C1
      More
    • geometric

      US /ˌdʒiəˈmɛtrɪk/

      UK /ˌdʒi:əˈmetrɪk/

      • Adjective
      • With regular mathematical patterns/straight lines
      B2
      More
    • geometry

      US /dʒiˈɑ:mətri/

      UK /dʒiˈɒmətri/

      • Uncountable Noun
      • Mathematical study of shapes, surfaces, and space
      • Mathematical shape of something
      B2
      More
    • going on

      US /ˈɡoɪŋ ɑn/

      UK /ˈgəʊɪŋ ɔn/

      • Phrasal Verb
      • To continue doing something
      • To happen (usually negative)
      A1
      More
    • got to

      US /ɡɑt tu/

      UK /gɔt tu:/

      • Verb (Transitive/Intransitive)
      • To arrive at some place
      • To have the opportunity or permission to do something
      • Phrasal Verb
      • To appeal to the emotions of; move
      • To finally begin to start something after a delay
      A1
      More
    • hanging out

      US

      UK

      • Phrasal Verb
      • To spend time with your friends
      • To spend times with friends or relax doing nothing
      A2
      More
    • have to

      US /hæv tu/

      UK /ˈhæv tə/

      • Auxiliary Verb
      • Must do
      A1
      More
    • in a while

      US /ɪn e hwaɪl/

      UK /in ə hwail/

      • Phrase
      • In a short period of time; soon.
      • For a short period of time; soon.
      A2
      More
    • in fact

      US /ɪn fækt/

      UK /in fækt/

      • Adverb
      • Used to emphasize the truth of a statement, especially one that contrasts with or contradicts something else.
      • Used to introduce a more detailed or surprising piece of information.
      • Phrase
      • Used to emphasize the truth of a statement, especially one that is surprising or contrary to what might be expected.
      C1
      More
    • in on

      US

      UK

      • Phrase
      • To be involved in a secret or plan.
      • To be aware of something that is secret or not generally known.
      A1
      More
    • in order to

      US /ɪn ˈɔrdɚ tu/

      UK /in ˈɔ:də tu:/

      • Preposition
      • For the purpose of; with the aim of.
      • Phrase
      • In a specific sequence or arrangement.
      • With the aim of; for the purpose of.
      C1
      More
    • in part

      US /ɪn pɑrt/

      UK /in pɑ:t/

      • Adverb
      • To some extent; partially.
      A1
      More
    • in particular

      US /ɪn pɚˈtɪkjəlɚ/

      UK /in pəˈtikjulə/

      • Phrase
      • Specifically; especially.
      • Detailed or precise.
      A1
      More
    • in real life

      US /ɪn ˈriəl laɪf/

      UK /in riəl laif/

      • Phrase
      • In the physical world; not online or in a fictional setting.
      • Actually; genuinely; not made up or fictional.
      A2
      More
    • in time

      US /ɪn taɪm/

      UK /in taim/

      • Adverb
      • Eventually; after a period of time.
      • Not late; with enough time to spare.
      • Phrase
      • Eventually; before it is too late.
      • According to the scheduled time; punctual.
      A1
      More
    • inception

      US /ɪnˈsɛpʃən/

      UK /ɪnˈsepʃn/

      • Noun
      • Beginning or start of (institution or business)
      B2
      More
    • incredible

      US /ɪnˈkrɛdəbəl/

      UK /ɪnˈkredəbl/

      • Adjective
      • Very good; amazing
      • Really good; amazing; great
      A2TOEIC
      More
    • infinite

      US /ˈɪnfənɪt/

      UK /'ɪnfɪnət/

      • Adjective
      • Being very large in amount
      • Without an end; limitless; endless
      B2
      More
    • instance

      US /ˈɪnstəns/

      UK /'ɪnstəns/

      • Noun (Countable/Uncountable)
      • An example of something; case
      • An occurrence of something.
      • Transitive Verb
      • To give as an example of something else
      A2TOEIC
      More
    • instead of

      US /ɪnˈstɛd ʌv/

      UK /inˈsted ɔv/

      • Preposition
      • When one thing is replaced by another
      • Adverb
      • As a substitute or alternative.
      A1
      More
    • interact with

      US /ˌɪntɚˈækt wɪð/

      UK /ˌɪntərˈækt wið/

      • Phrase
      • Verb (Transitive/Intransitive)
      • To engage in communication or action involving mutual or reciprocal influence.
      • To use a computer interface to achieve a specific goal.
      A2
      More
    • involve

      US /ɪnˈvɑlv/

      UK /ɪn'vɒlv/

      • Transitive Verb
      • To have or be included as a part of something
      • To cause (a person or group) to take part in an event or activity.
      A2TOEIC
      More
    • look at

      US /lʊk æt/

      UK /luk æt/

      • Phrasal Verb
      • To use your eyes to focus on something
      • To focus your eyes on something carefully
      A1
      More
    • look to

      US

      UK

      • Phrasal Verb
      • Be looking to. be planning to (do something)
      • To expect someone to do something for you; rely on
      A1
      More
    • mystical

      US /ˈmɪstɪkəl/

      UK /ˈmɪstɪkl/

      • Adjective
      • Awe-inspiring or mysterious
      B2
      More
    • name for

      US

      UK

      • Phrasal Verb
      • To give someone or something a particular name, often in honor of someone else.
      A1
      More
    • no matter

      US

      UK

      • Conjunction
      • Regardless of; it does not matter.
      • Adverb
      • Regardless of; it is not important
      A1
      More
    • once in a while

      US //wʌns ɪn ə waɪl//

      UK

      • Phrase
      • Occasionally; not very often.
      • Occasionally; not very often.
      A2
      More
    • physical

      US /ˈfɪzɪkəl/

      UK /ˈfɪzɪkl/

      • Countable Noun
      • Health check at the doctors' or hospital
      • Adjective
      • Concerning the body of a person
      • Concerning things that can be seen or touched
      A2
      More
    • pi

      US /paɪ/

      UK /paɪ/

      • Noun
      • The ratio of the circumference to the diameter
      B2
      More
    • property

      US /ˈprɑpəti/

      UK /'prɒpətɪ/

      • Noun (Countable/Uncountable)
      • Particular quality that someone or something has
      • Buildings or piece of land owned by someone
      A2TOEIC
      More
    • purpose

      US /ˈpɚpəs/

      UK /'pɜ:pəs/

      • Noun (Countable/Uncountable)
      • Reason for which something is done; aim; goal
      • A person's sense of resolve or determination.
      • Adverb
      • With clear intention or determination.
      • Intentionally; deliberately.
      A2TOEIC
      More
    • put together

      US /pʊt təˈɡɛðɚ/

      UK /put təˈɡeðə/

      • Phrasal Verb
      • To build or assemble something small, e.g. a toy
      • To organize or arrange something.
      A1
      More
    • random

      US /ˈrændəm/

      UK /'rændəm/

      • Adjective
      • Chosen, done without a particular plan or pattern
      B1
      More
    • rather than

      US

      UK

      • Adverb
      • More exactly; more correctly
      • Preferably; instead
      • Preposition
      • Instead of
      A1
      More
    • ratio

      US /ˈreɪʃioʊ/

      UK /ˈreɪʃiəʊ/

      • Noun (Countable/Uncountable)
      • The relationship in relative size, etc.
      • The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
      C2
      More
    • rectangle

      US /ˈrɛkˌtæŋɡəl/

      UK /ˈrektæŋgl/

      • Noun
      • Four-sided geometrical shape with all right angles
      B1TOEIC
      More
    • same time

      US

      UK

      • Phrase
      • Occurring simultaneously or at the same point in time.
      • At the identical time as before; recurring at a fixed hour.
      • Noun
      • An equal duration or period.
      A1
      More
    • satellite

      US /ˈsætlˌaɪt/

      UK /'sætəlaɪt/

      • Noun (Countable/Uncountable)
      • Device sent into space that aids communication
      • Natural object in space that moves around another
      B1
      More
    • sphere

      US /sfɪr/

      UK /sfɪə(r)/

      • Noun (Countable/Uncountable)
      • Area of interest or activity
      • A round 3D object shaped like a ball
      B1
      More
    • spot

      US /spɑt/

      UK /spɒt/

      • Noun
      • A certain place or area
      • A difficult time; awkward situation
      • Transitive Verb
      • To see someone or something by chance
      A2TOEIC
      More
    • squeeze out

      US /skwiz aʊt/

      UK /skwi:z aut/

      • Phrasal Verb
      • To remove an object by pressing something firmly
      C1
      More
    • stock

      US /stɑk/

      UK /stɒk/

      • Noun (Countable/Uncountable)
      • Animals such as cattle kept for breeding
      • Merchandise; goods kept by a business for sale
      • Uncountable Noun
      • Tasty liquid added to stews, soups etc.
      B2TOEIC
      More
    • straw

      US /strɔ/

      UK /strɔ:/

      • Adjective
      • Dry yellow stems of crops such as wheat
      • Countable Noun
      • Thin tube used for sucking up liquids to drink
      B1
      More
    • strip

      US /strɪp/

      UK /strɪp/

      • Transitive Verb
      • To remove your clothes (often sexily for someone)
      • To remove something, e.g. paint from a wall
      • Countable Noun
      • Long narrow piece, such as ribbon or land
      B1
      More
    • surface

      US /ˈsɚfəs/

      UK /'sɜ:fɪs/

      • Transitive Verb
      • To give (road) a top layer
      • Intransitive Verb
      • To appear after being hidden, unseen, or unknown
      • To come to the top of something; emerge
      A2TOEIC
      More
    • thanks to

      US /θæŋks tu/

      UK /θæŋks tu:/

      • Preposition
      • Because of; as a result of.
      A1
      More
    • the following

      US

      UK

      • Adjective
      • Next in order or sequence.
      • Uncountable Noun
      • What is about to be said or written.
      B1
      More
    • theorem

      US /ˈθiərəm, ˈθɪrəm/

      UK /ˈθɪərəm/

      • Noun
      • A statement that can be proved
      B2
      More
    • theory

      US /ˈθiəri, ˈθɪri/

      UK /ˈθiəri/

      • Noun (Countable/Uncountable)
      • Ideas or principles that explain facts or events
      • An idea or belief about something
      A2TOEIC
      More
    • think about

      US /θɪŋk əˈbaʊt/

      UK /θiŋk əˈbaut/

      • Phrasal Verb
      • To consider something carefully.
      • To remember or call to mind.
      A1
      More
    • think of

      US /θɪŋk ʌv/

      UK /θiŋk ɔv/

      • Phrasal Verb
      • To look on as (being something specific); consider
      • To consider or remember something.
      • Verb (Transitive/Intransitive)
      • To imagine or call something to mind
      A1
      More
    • those times

      US

      UK

      • Phrase
      • A period in the past, often remembered fondly.
      • A specific era or period in history.
      A1
      More
    • to do with

      US

      UK

      • Phrasal Verb
      • To be about something; concern
      A1
      More
    • triangle

      US /ˈtraɪˌæŋɡəl/

      UK /ˈtraɪæŋgl/

      • Noun
      • Three people connected with each in a relationship
      • A three-sided piece of metal used in orchestras
      B1TOEIC
      More
    • variety

      US /vəˈraɪɪti/

      UK /və'raɪətɪ/

      • Noun
      • Particular type of thing or person
      • The quality or state of being different or diverse; the absence of uniformity, sameness, or monotony.
      A2TOEIC
      More
    • wake up

      US /wek ʌp/

      UK /weik ʌp/

      • Phrasal Verb
      • To stop sleeping
      • To become fully aware and alert to a situation.
      A1
      More
    • zoom

      US /zum/

      UK /zu:m/

      • Noun
      • Camera lens used to magnify images
      • Intransitive Verb
      • To move along or go somewhere very quickly
      B1
      More
    • zoom in on

      US

      UK

      • Phrasal Verb
      • To adjust a camera or lens to make a subject appear closer.
      • To focus attention on something specific.
      A1
      More
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    01:03

    She took a brave step forward, leaving behind her comfort zone to chase her dreams.

    Vocabulary
    • brave

      adj. Having courage

    • comfort zone

      phr. A familiar situation where one feels safe

    Explanation
    a brave step is a noun phrase, where brave is an adjective modifying the noun step, meaning "a courageous step". forward is an adverb modifying step, meaning "ahead". The whole phrase serves as the object, answering the "what" of took (verb) — she took a brave step forward.

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    brave

    US/brev/
    UK/breɪv/
    adj.Brave
    v.t.To bravely face
    A2 Elementary

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    #geometry#asks#dimensional#triangle#rectangle#hole

    数学者だけど「幾何学」について質問ある?| Tech Support | WIRED Japan

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    林宜悉 posted on 2025/02/12
    Ever wondered about the fascinating world of geometry? Dive into this fun Q&A with mathematician Jordan Ellenberg, where you'll explore concepts like the Pythagorean theorem and tesseracts, picking up advanced vocabulary along the way!

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