"Quod Erat Demonstrandum" Pronounce,Meaning And Examples

"Quod Erat Demonstrandum" Natural Recordings by Native Speakers

Quod Erat Demonstrandum

"Quod Erat Demonstrandum" Meaning

"Quod erat demonstrandum" is a Latin phrase commonly used in mathematics and logic to indicate that a proof or demonstration has been completed. It is often abbreviated as "QED" and translates to "which was to be demonstrated" or "thus it was shown." It serves as a conclusion marker, signaling that the point or theorem previously stated has been successfully proven.

"Quod Erat Demonstrandum" Examples

1. "The proof of our theorem is complete; QED, the statement we set out to prove has been established."
2. "After showing that all triangles have the same properties in a Euclidean plane, we can conclude, quod erat demonstrandum, that our geometric argument is valid."
3. "Through a series of logical steps, we demonstrated that light indeed travels in a straight line; thus, QED, the principle of rectilinear propagation holds true."
4. "By analyzing the chemical reactions and energy transformations, we can now say with confidence, quod erat demonstrandum, that photosynthesis is the process by which plants convert sunlight into energy."
5. "In the mathematical problem, once we derived the correct equation and solved it, it was clear, quod erat demonstrandum, that the initial assumption about the function's behavior was correct."

"Quod Erat Demonstrandum" Similar Phrases

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"Put to the vote" means to submit a decision or proposal to a group of people for them to express their opinion or cast their votes, typically in a formal process such as an election or a referendum. It is a way to determine the majority's preference or to make a collective decision.

Put Up With

"Put up with" means to tolerate or endure something unpleasant, uncomfortable, or difficult. It involves bearing with a situation or person's behavior that may be annoying, inconvenient, or irritating.

Pyotr Ilyich Tchaikovsky

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Qin Shi Huang

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Quasi In Rem

"Quasi in rem" is a legal term that refers to a type of action or proceeding where the rights or interests in a particular property are involved, but the claim is not directly against the property owner. It is a Latin phrase, with "quasi" meaning "as if" and "in rem" meaning "regarding or concerning a thing." In such cases, the court's jurisdiction is based on the property itself rather than the personal liability of the defendant. These actions often involve issues like foreclosures, liens, or disputes over ownership or title to a property.

Que Sera Sera

"Que sera sera" is a phrase in Spanish that translates to "what will be, will be" in English. It expresses a philosophy of accepting whatever happens in the future without worrying or trying to control it. It's often used to convey a sense of resignation or fatalism.

Quid Pro Quo

"Quid pro quo" is a Latin phrase that means "something for something" or "this for that." It refers to a situation where one person agrees to give something in return for something else, often in a transactional or bargaining context. It can be used to describe an exchange of goods, services, favors, or privileges. In a legal or ethical context, quid pro quo can imply an arrangement where one benefit is given in anticipation of a reciprocal benefit.

Quite A Lot

"Quite a lot" means a substantial amount or a considerable quantity of something. It indicates that there is more than a little but not necessarily an extremely large amount.

Quod Potui Perfeci

R & B

Rack And Pinion

Raining Cats And Dogs

Raise Your Hand

Ralph Waldo Emerson

Ras Al Khaimah

Reading And Writing