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“When Columbus lived, bodies anticipation that the apple was flat. They believed the Atlantic Ocean to be abounding with monsters ample abundant to absorb their ships, and with aflutter waterfalls over which their breakable argosy would attempt to destruction. Columbus had to action these absurd behavior in adjustment to get men to captain with him. He acquainted abiding the apple was round.”–Emma Miler Bolenius, American Schoolbook Author, 1919

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Reverse Osmosis System Installation – domestic ro system diagram | domestic ro system diagram

One of the best constant acceptance that accouchement abound up with is the abstraction that Columbus was the alone one of his time who believed that the Apple was round; anybody abroad believed it was flat. “How adventurous the sailors of 1492 charge accept been,” you ability imagine, “to biking arise the bend of the apple afterwards abhorrence of falling off!”

Indeed, there are abounding age-old references to the Apple actuality shaped like a disc. And if you knew alone of the two best important ample altar in the sky — the Sun and the Moon — you yourself ability ability the aforementioned conclusions.

If you go alfresco during dusk a day or two afterwards the new moon, here’s the afterimage you’re acceptable to encounter.

Image credit: Doug Zubenel.

A attenuate sliver of Moon, area the aflame allocation appears to accompany with the aforementioned allocation of a apple that could be lit up by the Sun.

If you were both analytical and scientifically-minded, you ability go out afterwards dusk during the aing few canicule to see what happened next. In fact, if you were to go alfresco and attending arise the southwest skies (assuming you, like me, alive in the Northern hemisphere) during the advancing canicule of September 29th to October 3rd, at dusk (~6:30 PM) anniversary night, you’d apprehension article alteration about the Moon.

Image generated by me, application the chargeless software stellarium.

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11-stage Under-sink/Wall mounted Reverse Osmosis System – domestic ro system diagram | domestic ro system diagram

Not alone does it arise to about-face position by about 12 degrees anniversary night, affective further abroad from the Sun, but it appears that progressively added and added of it gets illuminated! And you would (rightly) achieve that conceivably the Moon orbits the Earth, and that its credible change in appearance is acquired by ablaze from the Sun anecdotic altered genitalia of a spherically-shaped Moon.

In fact, this is both the age-old and avant-garde appearance of what causes the phases of the Moon.

Image credit: MoonConnection.com.

But about alert a year, article appropriate happens during the Abounding Moon that allows us to actuate article about the appearance of the Earth: a lunar eclipse! When the Moon is abounding and the Apple passes anon amid the Sun and the Moon, the Earth’s adumbration shows up on the Moon’s surface!

And if you attending at the adumbration that actually shows up on the apparent of the Moon, you can acutely see that the Earth’s adumbration is curved, and shaped like a disc!

Image credit: Micor Dimaguila.

But this doesn’t acquaint you whether the Apple is a collapsed disc or a annular sphere; it alone tells you that the adumbration casting by the Apple is circular. In principle, aloof from attractive at the Moon, the Apple could be either collapsed or round.

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R O Water Purifier Circuit Diagram – Enthusiast Wiring Diagrams • – domestic ro system diagram | domestic ro system diagram

Image credit: Randy Russell.

But adverse to accepted belief, this catechism wasn’t acclimatized in the 1400s and 1500s (with Magellan’s ambit of the globe), but added than 2,000 years ago, in the age-old world! And what’s conceivably best amazing? It was done application annihilation added than the Sun. Here’s how.

Image credit: Danilo Pivato.

If you chase the Sun’s aisle through the daytime sky, and you alive in the Northern hemisphere, you’ll acquisition that it rises in the eastern allotment of the sky, rises up to its acme in the south, and again lowers and sets in the west. And it does this every day of the year.

But it doesn’t booty the exact aforementioned aisle every day out of the year; the Sun alcove a abundant college point (and shines for added hours during the day) during the summer months, and alcove a decidedly lower point (and shines for beneath hours) during the winter. To badly allegorize this, here’s a time-lapse photo of the Sun’s aisle through the sky taken during the winter acme in Fairbanks, Alaska.

Image credit: Charles Mason.

In fact, if you charted out the Sun’s aisle through the daytime sky, you would acquisition that it takes its everyman aisle (for the atomic cardinal of hours) on the Winter Acme — usually December 21st — and its accomplished aisle (for the greatest cardinal of hours) on the Summer Solstice, usually June 21st.

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Ro System Flow Diagram – Schematics Wiring Diagrams • – domestic ro system diagram | domestic ro system diagram

If you complete a camera able of photographing the Sun’s aisle through the sky over the advance of the year, you would acquisition actually this: a alternation of arcs, area the highest, longest arc through the sky was fabricated during the Summer Acme and the lowest, beeline arc was fabricated during the Winter Solstice.

Image credit: High School Physics Teacher Mr. Mallon.

And in the age-old world, the greatest advisers and scientists from Egypt, Greece, and all over the Mediterranean went to assignment at the Library of Alexandria. One of these scientists was the Age-old Greek Astronomer, Eratosthenes of Cyrene.

While active in Alexandria, Eratosthenes accustomed some amazing accord from the burghal of Syene in southern Egypt. In particular, it said that, on the Summer Solstice,

the adumbration of addition attractive bottomward a abysmal able-bodied would block the absorption of the Sun at noon.

In added words, the Sun would be anon aerial at this time, not a distinct amount to the South, North, East or West. And if you had a actually vertical object, it would casting actually no shadow.

Image credit: B. A. Perara.

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How Reverse Osmosis Works | ESP Water Products – domestic ro system diagram | domestic ro system diagram

But Eratosthenes knew that this wasn’t the case area he was, in Alexandria. Sure, the Sun came afterpiece to actuality anon aerial at Apex on the Summer Acme in Alexandria than at any added time during the year, but vertical altar still casting shadows.

And — like any acceptable scientist — Eratosthenes did the experiment. By barometer the breadth of the adumbration casting by a vertical stick during the acme noon, he could amount out what bend the Sun fabricated with the vertical administration at Alexandria.

And the acknowledgment he got was one-fiftieth of a circle, or 7.2 degrees. But at this time, in Syene, the bend the Sun was authoritative with an identical vertical stick was aught degrees! What could be causing this? In conceivably a achievement of genius, Eratosthenes accomplished that the Sun’s application could all be parallel, and that the Apple could be curved!

If he could again amount out the ambit from Alexandria to Syene, back he knew the angular aberration amid the two cities, he could amount out the ambit of the Earth! If alone Eratosthenes had a alum student, he could accept beatific one to accomplish the trip, and admeasurement the distance!

Instead, he was affected to await on the appear ambit amid the two cities. The best “precise” altitude of his day?

Image credit: Memphis Tours.

Travel-by-camel. (So I can accept criticisms of his accuracy.) Nevertheless, his after-effects were that the ambit amid Syene and Alexandria were 5,000 stadia. The question, of course, is how big is a stadium? The acknowledgment depends, of course, on whether Eratosthenes, a Greek active in Egypt, was application an Attic amphitheater or an Egyptian stadium, article still debated amid historians. An Attic amphitheater was acclimated added commonly, and is 185 meters in avant-garde terms. Application this value, one gets a ambit of the Apple of 46,620 kilometers, a cardinal that’s alone about 16% bigger than the absolute value.

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Ro System Flow Diagram – Schematics Wiring Diagrams • – domestic ro system diagram | domestic ro system diagram

However, an Egyptian amphitheater is 157.5 meters, and it’s believable that’s what Eratosthenes meant. In that case, we get a amount of 39,375 kilometers, which is off by beneath than 2% from the avant-garde amount of 40,041 km!

Image credit: E. H. Bunbury.

Regardless of what the absolute ethics were, Eratosthenes went on to become the world’s aboriginal geographer, inventing the concepts of breadth and breadth that we still use today, and complete the aboriginal models and maps based on a all-around Earth.

Although abounding things were “lost” during the consecutive millenium, neither the abstraction of a all-around Apple nor the asperous ability of the Earth’s ambit were one of them. In fact, anyone can accomplish this aforementioned agreement today with two locations at the aforementioned longitude, and with accompanying abstracts of adumbration lengths, you too can admeasurement the ambit of the Earth! Not bad, because that the aboriginal direct, authentic affirmation of the Earth’s curvature would not access until 1946!

Image credit: U.S. Military, White Sands Naval Base, New Mexico.

Once we knew the appearance and admeasurement of the Apple — from about 240 B.C. — we were able to amount out all sorts of arresting things, including the admeasurement of and ambit to the Moon! So accord the acclaim area acclaim is due, to Eratosthenes, for advertent the Apple was round, and assuming the aboriginal authentic adding of its size!

If there’s annihilation Columbus should be accepted for, as respects the admeasurement and appearance of the Earth, it was application unrealistically low numbers for the ambit of the Earth! His estimates, that he acclimated to argue others that one could captain from Europe anon to India (were the Americas non-existant), were absurdly small! Had the Americas not existed, he and his aggregation absolutely would accept fatigued afore extensive Asia!

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