HISTORY SCIENCES AND TECHNOLOGIES

Why is Pythagoras often associated with the theorem?

November 15, 2024
professormaurice
637 Comments
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HAKIZIMANA Maurice

Pythagoras, a Greek philosopher and mathematician of the 6th century BC, is often associated with the famous Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Although this theorem is attributed to Pythagoras, archaeological discoveries and historical research indicate that it existed long before him.

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Origins of the Theorem

There is evidence that civilizations such as the Babylonians and Egyptians knew relationships similar to the Pythagorean Theorem centuries before Pythagoras. For example, Babylonian mathematical tablets, such as Plimpton Tablet 322, dated to about 1800 BCE, contain calculations of Pythagorean triples (sets of three integers that satisfy the theorem’s relationship).

In Egypt, ropes tied to form a right triangle (3, 4, 5) were used to draw right angles, particularly in architecture.

Why is the theorem attributed to Pythagoras?

  1. The Pythagorean School: Pythagoras founded a school of thought in Crotona (in present-day Italy) where his followers, the Pythagoreans, sought to understand the world through mathematics. In their system, numbers represented universal truths and had an almost mystical value.Although the theorem may have existed before Pythagoras, his school was probably the first to formally prove the theorem in an abstract mathematical framework, making this relationship part of their philosophy.
  2. The influence of tradition: In ancient times, it was common to attribute ideas or discoveries to famous masters. Since Pythagoras was a prominent and charismatic figure in mathematical and mystical thought, his disciples and other thinkers naturally linked this discovery to his name. It was probably through oral tradition and transmission that he became associated with the theorem.
  3. The impact of his school: The Pythagoreans were influential scholars of the time and helped spread the theorem throughout the Greek world. Thanks to them, the mathematical relationship in a right triangle was not only used, but also considered a universal truth related to the nature of number and geometry, which strengthened the attribution to Pythagoras.

Who popularized this attribution?

Greek philosophers and mathematicians such as Plato and Euclid contributed greatly to making the theorem known in the Greek world, long after Pythagoras’ death.

PLATO

Euclid

In The Elements, Euclid (in the 3rd century BC) gave a rigorous demonstration, which anchored this theorem in the history of mathematics as a Pythagorean discovery. Euclid’s work was widely disseminated and studied in the following centuries, thus reinforcing the idea that Pythagoras was at its origin.

In summary

Although Pythagoras may not have discovered the theorem himself, his school played a vital role in formalizing and disseminating this mathematical concept. The theorem is named after him because of the influence of the Pythagorean school and Pythagoras’ association with research on numbers and geometry. This attribution has thus become a tradition in the history of mathematics.

This world,

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  596. Don’t lower the load slowly to really feel your muscles
    more. You’ll really feel your muscles plenty when Benching heavy weight.

    Lower the bar underneath management with good form but not gradual.

    Raise the bar out of the uprights by locking your elbows.
    Maintain them locked while transferring the bar to your shoulders.

    Then fail mid-rep by decreasing the bar back to you chest
    and the pins. However do it again two-three occasions and you’ll turn out to be snug failing
    the Bench. The fear of the unknown shall be gone which boosts
    confidence. You have to unrack the bar from the uprights your self.

    During this step, you are getting ready your body to execute the carry.
    This step is the foundation of performing the dumbbell bench press.
    Utilizing an extreme amount of weight can prevent an athlete from utilizing typical dumbbell
    bench press type, nevertheless it can also be
    harmful.
    To prevent unnecessary accidents, all the time perform the seated dumbbell press (or any exercise with weights) with correct form.

    This way, you will avoid straining, overextending, or pulling
    muscle tissue whenever you train. Dumbbell decline chest
    press workout routines are highly recommended for anyone thinking about constructing higher
    body strength and gaining muscle measurement.

    The incline dumbbell press is a staple in the
    programme of many, devoted bodybuilders or informal fitness center goers alike.

    You don’t desire the front a half of your shoulder to rotate forward as you decrease the dumbbells,
    as this locations additional stress on a weak a half of your shoulder.

    Hold your shoulder blades pulled again and
    down on the bench and cease your descent before this rotation occurs.
    “Assume about turning the pits of your elbows toward your head,” says Samuel.
    “This will flip in your lats, and it’ll further protect your shoulders. And it’s critical if you need to showcase a strong, potent bench press.”
    A steeper angle shifts the major focus to your shoulders, whereas
    a shallower angle could not have interaction the higher chest successfully.
    Visualize your chest muscular tissues working during every rep.
    This psychological focus improves engagement and helps build energy extra
    effectively. Keep Away From the temptation to jump to heavier dumbbells too rapidly.
    Gradual progress ensures proper type and reduces the chance of damage.
    The incline position engages the anterior deltoids (shoulders) more than flat presses, enhancing shoulder
    stability and power. You ought to have a sufficient range of movement to let the dumbbells contact your chest
    while maintaining your shoulders in a secure position. That’s as a outcome
    of your physique is making an attempt to
    incorporate more chest involvement.
    It’s essentially a partial rep train on this case.
    When it comes to dumbbells, they’re most commonly carried out
    as a result of individuals don’t have access
    to a bench. If you don’t have entry to a bench,
    it doesn’t mean you can’t do chest presses!

    Push the ground away from you and straighten the arms, able to repeat.

    Lower the bar slowly until the bar touches your chest keep your elbows at 45 diploma angle, pause here before
    explosively pressing again up. The Barbell Bent Over Row is a great train to enhance the Dumbbell Bench Press.
    It works the opposing muscle group of the again, which
    helps to create stability within the upper body.
    This train strengthens the back muscle tissue, together with the lats,
    trapezius, and rhomboids. It additionally improves posture, stability and stability,
    while serving to to forestall damage. This train is nice for growing
    strength and rising muscle mass within the again, while helping to create a balanced physique.

    Your neck won’t hurt because you can’t push your head into the bench.
    It forces a vertical bar path as a outcome of the bar is connected to
    rails. However the bar path isn’t vertical on the Bench Press.

    And dumbbells provide you with extra freedom of movement than your barbell grip and higher depth at a decrease weight.
    It’s a great stand-alone exercise and a really good accessory train for
    the barbell bench press. Change from Bench Pressing units of eight
    or ten reps to sets of 5. The weight will immediately be simpler to bench as a
    outcome of the set is over before you’re drained.

    Then add weight on the bar to make it difficult once
    more. As defined above, the key to Bench Press heavy is to Bench Press heavy.

    Let your stronger skeleton carry the weight, not your muscle tissue.
    Locking your elbows isn’t dangerous so long as you don’t hyper-extend them.
    If your elbows are locked before you unrack the bar,
    lower your uprights. You don’t should arch your again like a horseshoe.

    Maybe even simply healthy motion is your goal. Like
    all weightlifting workouts, an athlete should
    perform the dumbbell bench press with proper kind and approach.
    The good type ensures that the athlete gets the most out
    of the movement, keeping them protected from potential injury.

    It Is greatest to not do the bench press train everyday because you would not be giving your muscle tissue enough time
    to recuperate to permit for full chest growth. The average lifter and even advanced lifters would want to stick to 1-2 bench urgent
    sessions per week. Be sure to observe correct bench press type to keep away from danger of
    shoulder accidents. Go via this step-by-step process,
    experiment with it, and discover what bench press type works best
    for you and your body.
    If you don’t have a spotter, Bench Press within the Energy Rack.
    I Bench Pressed within the Smith Machine when I began lifting.
    Once I received smarter and switched to free weights, I couldn’t Bench what I did on the Smith Machine.
    And it’s not safer, it’s dangerous on your joints.
    Lockout the bar over your shoulders and transfer it back in opposition to the
    vertical elements of your Energy Rack. When it touches, bend your arms to lower
    the bar within the uprights. The bar can slip out of your arms, drop on your face
    and kill you. The bar can’t slip out of your arms if your thumbs are there
    to safe it. If your wrists damage with the full grip, it’s usually as a result
    of they’re bent when you Bench Press. Straighten your wrists by gripping the bar decrease in your arms.

    As the name suggests, you want to use a bench at a declined
    angle to perform the bench presses. So, dumbbells
    ought to be a staple in your chest coaching routine as the advantages
    are greater than price it. And training with dumbbells for the higher chest is also safer for your shoulders general.

    Lay on the bench, your knees bent, pushing your feet into
    the ground. Press a pair of dumbells into the air, locking out
    your elbows.
    The dumbbell bench press may be broken down into five phases.
    To set your back, flex your shoulder blades and squeeze them together.
    Push your ft firmly into the ground and flex your core.
    By flexing your abdomen and again and maintaining your feet firmly on the
    floor, you’re maximizing your body’s capability to push the burden away from you.
    If your elbows are elevated and you hit the bar path appropriately, you’re
    in hassle as a result of you’re internally rotating the shoulders.
    That’s how you really hurt your shoulder and trigger
    future shoulder issues (like I did).
    Lastly, it’s time to get on the bench and have a glance at your starting position.
    We’re not benching yet, but we’re getting closer.

    I HIGHLY suggest the latter, especially if you’re
    doing the Bench Press alone. A energy rack is the optimum piece of health tools
    to have as a outcome of it’ll defend you simply
    in case the burden load falls.
    Your exact elbow angle when your Bench Press depends on your build.
    The rule of thumb is to tuck your elbows about 75° so your forearms are vertical on the bottom.
    The method up have to be a mirror of the method in which down.
    You should flare your elbows to bench the bar back over your shoulders.
    If you don’t, your elbows will end in front of the bar.

    Or you’ll bench in a vertical line over your mid-chest.

    You can’t construct the strength to Bench Press 100kg/220lb should you Bench half that
    every time. They Bench Press the same weight week after week,
    month after month, typically yr after 12 months.

    Then they wonder why their Bench Press never will increase, or
    worse, decreases. It’s as a result of you’re not giving your body any purpose to get stronger.
    I did Pushups earlier than I started to raise weights.
    I couldn’t do one rep the primary time as a result of I did zero sports activities for the primary half of my life.

    I was so weak I had to do Pushups on my knees.
    The bench press is great for gaining muscle measurement. It’s among
    the many prime workouts for constructing greater pecs, shoulders, and triceps.
    It will fill out your chest, making it thicker and firmer.
    It’s additionally good for creating the highest half
    of an hourglass physique. Yes, the seated dumbbell press is a compound
    exercise. A compound exercise works multiple units of muscles,
    and the seated dumbbell press works the shoulder, again, and chest muscle tissue simultaneously.
    The standing dumbbell press works out the glutes, core, and back muscle tissue along with
    the shoulders and chest.
    MAKE THE DUMBBELL incline press the second movement in your chest day workout after a flat bench.
    Strive beginning with three to four sets of eight to 10 reps.
    YES, THE DUMBBELL incline press will work your chest—specifically, the fibers within the upper region of the muscle group.

    Since it’s a urgent motion, your triceps might be involves, as
    will your shoulder muscles like your front delts.
    Work to keep the primary focus on your higher chest by sustaining the proper posture on the bench.

    The barbell bench press will at all times be the primary lift for strength packages.
    It will put your chest, shoulders and triceps within the biggest position to carry heavy and use
    a wide variety of movement. The normal grip, which is 1.5x your shoulder width, is one of the best for overall improvement of the
    chest, shoulders and triceps. It’s a basic “push” train that’s top-of-the-line chest exercises
    you’ll find a way to embody in your exercise routine, as a outcome
    of it hits pectoral muscle tissue, shoulders, and triceps.

    The dumbbell bench press could be a higher chest builder than the barbell bench press.
    One cause is that the dumbbell bench press makes use of a bigger vary of
    motion, putting larger pressure and stretch in your pectoral muscle tissue.

    Use the stretch reflex by shortly reversing the motion. Your muscular tissues will contract
    more durable after the stretch on the way down. Powerlifters pause their Bench Press as
    a end result of that’s the competition rule. You’ll Bench Press more when you don’t pause but contact and go
    on StrongLifts 5×5. Lower the bar beneath control
    but don’t be slow. If you decrease the bar too slow, you’ll lose energy for Bench Urgent the weight up.
    If you decrease the bar too quick, you’ll have a harder time Benching with proper kind.

    You’ll stay tight and waste much less effort to unrack the burden. Lower the bar,
    touch your chest and press it again up. Don’t pause at the backside or
    the weight shall be more durable to bench.

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