Editing Talk:2769: Overlapping Circles
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:Actually, it does. That's what overlaps in a Venn diagram mean, it's the set of entities that satisfy both conditions. [[User:Nitpicking|Nitpicking]] ([[User talk:Nitpicking|talk]]) 02:25, 29 April 2023 (UTC) | :Actually, it does. That's what overlaps in a Venn diagram mean, it's the set of entities that satisfy both conditions. [[User:Nitpicking|Nitpicking]] ([[User talk:Nitpicking|talk]]) 02:25, 29 April 2023 (UTC) | ||
::You're right. People who get excited about the diagram would be the union of the two sets, not intersection. Unless Randall is saying that only astronomers who are also set theorists are so enamored of the two diagrams that they get excited about it. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 04:52, 29 April 2023 (UTC) | ::You're right. People who get excited about the diagram would be the union of the two sets, not intersection. Unless Randall is saying that only astronomers who are also set theorists are so enamored of the two diagrams that they get excited about it. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 04:52, 29 April 2023 (UTC) | ||
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On title text: I'm pretty sure that if two sets are represented by a single circle rater than two, it's no longer a Venn diagram but merely an Euler diagram. [[Special:Contributions/172.71.94.3|172.71.94.3]] 00:22, 29 April 2023 (UTC) | On title text: I'm pretty sure that if two sets are represented by a single circle rater than two, it's no longer a Venn diagram but merely an Euler diagram. [[Special:Contributions/172.71.94.3|172.71.94.3]] 00:22, 29 April 2023 (UTC) | ||
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:It's once you have two or more that you start to get the Euler-not-Ven exceptions, like [[1180: Virus Venn Diagram|entirely unintersecting groups]] (notably misnamed, by this comic) or [[2721: Euler Diagrams|only partially supporting all groups]] (misnamed by Cueball, in-Universe), unless you make effort to have some (singly unique) areas covering [[2122: Size Venn Diagram|all combinations of all options]]. | :It's once you have two or more that you start to get the Euler-not-Ven exceptions, like [[1180: Virus Venn Diagram|entirely unintersecting groups]] (notably misnamed, by this comic) or [[2721: Euler Diagrams|only partially supporting all groups]] (misnamed by Cueball, in-Universe), unless you make effort to have some (singly unique) areas covering [[2122: Size Venn Diagram|all combinations of all options]]. | ||
:But an annular eclipse probably doesn't count. In 9ne, you cannot see/infer a point upon the Moon's surface that is not also where the Sun 'is' – albeit obscured – though you do see bits of Sun-surface that have no Moon coincident to your view (during the phase of maximum coverage). One assumes that non-annular eclipses (or hypo-annular ones, where the Sun's bodily 'cross-section' is at a minimum compared to the Moon's) are just onzerved as perfect fits. And this must exclude the upper-atmosphere/corona of the Sun (the Bailey's Beads/Diamond Ring effects being the limiting factors), so that you theoretically have a single circle and announce to yourself that all that you see within that is on a sightline which intersects both Sun and Moon, and all sightlines outwith that circle intersect neither. No room in your defining diagram/worldview/skyview for one XOR the other (like having a region for "red cars", but handling red non-cars and non-red cars (and all things that are neither red nor a car) as possibilities. [[Special:Contributions/141.101.98.9|141.101.98.9]] 03:47, 29 April 2023 (UTC) | :But an annular eclipse probably doesn't count. In 9ne, you cannot see/infer a point upon the Moon's surface that is not also where the Sun 'is' – albeit obscured – though you do see bits of Sun-surface that have no Moon coincident to your view (during the phase of maximum coverage). One assumes that non-annular eclipses (or hypo-annular ones, where the Sun's bodily 'cross-section' is at a minimum compared to the Moon's) are just onzerved as perfect fits. And this must exclude the upper-atmosphere/corona of the Sun (the Bailey's Beads/Diamond Ring effects being the limiting factors), so that you theoretically have a single circle and announce to yourself that all that you see within that is on a sightline which intersects both Sun and Moon, and all sightlines outwith that circle intersect neither. No room in your defining diagram/worldview/skyview for one XOR the other (like having a region for "red cars", but handling red non-cars and non-red cars (and all things that are neither red nor a car) as possibilities. [[Special:Contributions/141.101.98.9|141.101.98.9]] 03:47, 29 April 2023 (UTC) | ||
| − | ::The way I’ve heard it (though I can’t remember where), it’s a Venn diagram iff it’s a Euler diagram with two congruent circles that overlap without regard for proportion; ''any'' other type of Euler diagram is not a Venn diagram | + | ::The way I’ve heard it (though I can’t remember where), it’s a Venn diagram iff it’s a Euler diagram with two congruent circles that overlap without regard for proportion; ''any'' other type of Euler diagram is not a Venn diagram. I’m not sure where to find an authoritative definition though. —[[Special:Contributions/172.70.254.216|172.70.254.216]] 06:10, 29 April 2023 (UTC) |
The shape formed by the intersection of two circles is called a lens. Lenses are also of interest to astronomers for telescope manufacture. A lens shape causes spherical aberation when used as an optical element, leading to the use of aspheric lenses and mirrors on higher quality telescopes. [[User:Quantum7|Quantum7]] ([[User talk:Quantum7|talk]]) 05:25, 29 April 2023 (UTC) | The shape formed by the intersection of two circles is called a lens. Lenses are also of interest to astronomers for telescope manufacture. A lens shape causes spherical aberation when used as an optical element, leading to the use of aspheric lenses and mirrors on higher quality telescopes. [[User:Quantum7|Quantum7]] ([[User talk:Quantum7|talk]]) 05:25, 29 April 2023 (UTC) | ||
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