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Yes, they can. This is done all the time in mathematics, logic and other areas. However, you must ensure that you either record the theorems used, or write them out in whole and attach them to the proof of the new theorem.
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How are prime and composite numbers used in everyday jobs?
Prime numbers and composite numbers are not used in daily jobs. However they are used by scientists to prove theorems.
What kind of statements would you prove with a geometric proof?
Riders, lemmas, theorems.
Can Postulates be used to prove theorems?
No, because postulates are assumptions. Some true, some not. Proving a Theorem requires facts in a logical order to do so.
What is the difference between proof and postulate?
A proof uses postulates and theorems to prove some statement.
What do you prove wit geometric proof?
1.experiments.2.opinions.3.postulates.4.theorems.
What is used to the steps of a geometric proof?
we use various theorems and laws to prove certain geometric statements are true
How are prime and composite numbers used in everyday jobs?
Prime numbers and composite numbers are not used in daily jobs. However they are used by scientists to prove theorems.
What kind of statements would you prove with a geometric proof?
Riders, lemmas, theorems.
Can Postulates be used to prove theorems?
No, because postulates are assumptions. Some true, some not. Proving a Theorem requires facts in a logical order to do so.
In a geometric proof what can be used to explain a statement?
Axioms and logic (and previously proved theorems).
What is an axiomatic system in mathematics?
An axiomatic system in mathematics is a system of axioms that can be used together to derive a theorem. Axiomatic systems help prove theorems in mathematics.
What is the difference between proof and postulate?
A proof uses postulates and theorems to prove some statement.
What do you prove wit geometric proof?
1.experiments.2.opinions.3.postulates.4.theorems.
Why isn't the Pythagorean theorem a law?
The axiomatic structure of geometry, as initiated by Euclid and then developed by other mathematicians starts of with 8 axioms or postulates which are self-evident truths". Chains of logical reasoning can be used to prove theorems which are then accepted as additional truths, and so on. Geometry does not have laws, as such.
What is the difference between axiom and theorem?
The axioms are the initial assumptions. The theorems are derived, by logical reasoning, from the axioms - or from other, previously derived, theorems.
Can postulates be used to solve theorems?
No. A postulate need not be true.
When are you ever going to use theorems from geometry?
Geometry has a variety of applications from engineering to the physical sciences. It is also used in construction and art. However, most would probably never use a theorem from geometry directly. So why do we study the theorems of geometry? It has to do with learning to think clearly and critically. Theorems are deduced based on axioms and rules of logic. Learning to prove the theorems or even just understand them can do much to increase your reasoning skills. With better reasoning skills you can distinguish good arguments from bad ones and increase your problem solving ability.
