In ancient Rome, a quincunx was a coin with a weight equal to five twelfths of a libra, a unit of weight similar to our pound.Today we're going to talk about the Galton board, which was invented, or at least named after Francis Galton. What we have is a bunch of pins and a bunch of slots. Now if I turn all these balls over, 3000 of them, will fall through these pins and they will randomly scatter (in the sense that we don't know where each and every ball is going to) but because there are so many of them, come off the chaos order every time in pretty much exactly the same exact shape.
A normal distribution. Let's start with the pens. The pins on my Galton board are arranged in a triangular pattern like this.
We start with a hook. Under this pin, in the second row, there are two pins on each side. The third row contains pens arranged in this way.
The fourth so and so on. Because of this arrangement of the pins, the Galton board is sometimes referred to as a 'quincunx'. A quincunx is a pattern of five objects - a specific way of arranging them - with four of the objects attached to the corners of a square and the fifth in the center.
You probably know the quincunx if you've ever looked at a dice. When the balls now fall through the machine, they will first reach pin number one in the first row. And once you do that, you have a choice.
Well, they don't really have a choice but they will either go left or right and due to the way the Galton board is designed there is an approximate 50/50 chance given any ball goes left or right. Once that is done they will have reached the second row of pins where they will either go left or right, left or right. Since a left or right ricochet is equally likely over a large number of attempts at each vertebra in the long term, we expect that balls with complete trajectories containing about the same number of left and right turns will occur most frequently, which means we expect more balls to land pretty much under where they started and a lot less on the edges, which means that one type of jump has a lot more than the other.
We don't know where a single ball will land, but we can say something about how they will all behave. Now the actual probability that a single ball will fall into one of these slots follows what is known as a 'binomial distribution'. But there's a nice thing about math, the central limit theorem, which tells us that, under a large number of experiments on a large number of objects (like 3,000 spheres), a binomial distribution approximates a normal distribution that you see here on the See board drawn.
But this Galton tablet not only shows the Central Lim's sentence. It has a ton of other cool features. Take a close look at the pens, for example.
You will see hexagonal tiling with numbers. That is the Pascal triangle. Let's build the Pascal triangle ourselves.
I happen to have a nice set-up here: a triangle with 1 2 3 4 5 rows. Now to fill in the Pascal triangle, start at the top and enter the number 1. Great, now the rule for filling in the remainder is that you take each point and add the two numbers on top left and top and right.
So for this cell we have nothing plus 1 which is 1 and for one we have nothing plus 1 which is 1 Now below we have nothing plus 1 which is 1 but here we have 1 plus 1 which is 2. Now you continue this pattern ...
This is a 1. This is a 3. 3. 1.
Here below again a 1 and then a 4 and then a 6 and then a 4 and then a 1. You do that now long you want That is very cool. It shows us all kinds of nice things.
One of them is that the number on each square can correspond to a pin on the Galton board, and the number in that square tells us how many paths a ball can take to get to that pin. So when it comes to hitting the first eddy, there is only one way to hit that first eddy: you fall out of the funnel. But when you've done that, you can either go left or right, now to hit that vortex in the second row.
There's only one way to do it: you must have gone left when you hit the first pin. Same here, except you must have gone right. But when it comes to this pin I numbered 2, there are two ways that you can get there: you can either go left and then right or right and then left.
Two ways. Now this means that when a ball reaches this third row, it has traveled one of one plus two plus one - four - unique paths. However, two of those paths lead you to this pen.
The other two will bring you here or here. So if you are looking to place some bets, the safest thing to do is to say that more balls go on that pin than the two on the outside. Now this pattern continues and as you can see there are more and more paths down, but the middle goal is always served by the greatest possible number of paths a ball can take, which means we should expect more balls emerge in the middle and less as we go further to the edges.
Tada! A normal distribution. But we're not done with Pascal's triangle yet. There are all sorts of other fun things you can do with it.
For example, let's look at the diagonals. Okay, I'm going to make diagonals like this and that's why I drew hexagons. So if I draw a diagonal from this first number, I now get a 1.
If I start at this number at an angle, I get 1 again. If I walk away from this one I have a 1 and a 1 that add up to 2. If I start here and go diagonally I have 1 plus 2 which is 3 and I'm going to delete that arrow because it's in my way.
Where's my eraser? Nice. You may already know the pattern if you're a huge fibbing fan ...
Just kidding, Fibonacci sequences.
This is what we're going to find here: 1 plus 3 is 4 plus 1 is 5, and in fact we're going to build a beautiful Fibonacci sequence where each number is the sum of the two previous numbers. So, 1 plus 1 is 2.1 plus 2 is 3. 2 plus 3 is 5. 3 plus 5 is 8. 5 plus 8 is 13, and so on forever, no matter how big you make your Pascal triangle.
But that's not it either! The Pascal triangle creates something even more amazing and helpful. This represents and gives you line by line the sequence of coefficients in binomial powers. Let me show you what i mean.
If you have a pulse now and are breathing, then we could all agree that binomial forces are one of your favorite things. A binomial is a an expression with two terms in it.
For example '7xz
archaic, of celestial bodies or zodiacal signs. : lacking conjunction.
Quincunxes are used in modern computer graphics as a pattern for multisample anti-aliasing. Quincunx antialiasing samples scenes at the corners and centers of each pixel. These five sample points, in the shape of a quincunx, are combined to produce each displayed pixel.
Trines, formed by a 120 angle on the chart, are generally considered the best and most auspicious aspect of them all, bringing luck, harmony, major synchronicity, and potential for positive changes. 'The simplest way to understand a trine is understanding the elements. .
Please take a look at my article list hello namaskar other to all my friends from your friend astrology and direct irfan again with you from your own channel astro insurance I get a lot of inquiries from time to time, especially in the comment area, that my planet is a place is or a planet is placed in a particular house? those are the aspects, it will bring me good results or not. from an aspect perspective, i have made a lot of articles but i see some of the questions being asked over and over, even by the people who saw the articles in which i talked about aspects today.
I'm making this a more holistic approach to how you see aspects in your horoscope and how you should interpret them and how aspects manifest in your horoscope cts are an important part of a planet's influence in the horoscope influenced by the rule of which houses they rule and planets also which houses house the aspect and which houses they combine with planets in these houses with yogas. So if two planets are in yoga, even if the planet is not looking at this house and the planet is not yet ruling this house because they are in yoga with the planet that is placed in this house, then the planet will also result in this House, so you can also say in this way that to some extent aspects also play a role when a planet is in a yoga with another planet, although it is precisely not called an aspect, so aspects are the virtue of that one Planet can use its influence, or drishti, as it is called in slokas or wherever, it is able to see that, that is able, that is how an aspect is described, so there are simple aspects of every seventh planet for itself So all planets have the seventh aspect for themselves, but some planets also o have special aspects now Sun Moon Mercury and Venus only have the seventh aspect but Saturn Jupiter and Mars have special Aspe kte Mars has the fourth aspect the seventh aspect and the eighth aspect Saturn has the third aspect the seventh aspect as well as the tenth aspect where Jupiter has the fifth aspect the seventh aspect and the ninth aspect each aspect of a planet has a different meaning. I've made articles about the meaning of the fourth, seventh and eighth aspects of Mars, the third, seventh and tenth aspects of Saturn, and the fifth, seventh and ninth aspects of Jupiter.
So watch these articles for a more holistic approach to the aspect of this particular planet and how it should now manifest through rauha and ketu. They have aspects similar to Jupiter except: don't have a powerful seventh aspect, they are in the seventh access to each other, so that influence is seen as access rather than as Aspe ct-Influence of the seventh aspect of rahu and kt, so on a very, very general level these are what aspects mean in astrology that now primarily come to the brass needles if you look at the aspect of Saturn the third aspect, the seventh aspect and the tenth aspect of Saturn will be in force and these are hundred percent aspects. It is also known that planets give quarter aspect, half aspect, three fourth aspects, these Aspects have also been described, although not so strong that they do not manifest so strongly the natural aspects of the Planets for example here we are talking about the third, seventh and tenth aspects of Saturn, where 100 aspects, although each of them has a different meaning, is an important thing that planets have all aspects except the important aspects of the The strongest aspects are the natural aspects as described in the Shlokas, such as 3rd 7th and 10th Saturn or 5th 7th and 9th Jupiter, so this must be kept in mind seco ndly planets in the - House Saturn is in the Libra sign seen in Navmanj.
You will now be seen aspecting each other, once you see houses in the nerve, then you will also say, oh Jupiter aspects Saturn and Saturn aspects Jupiter for example, if it's Ali Lagna then Jupiter is in the first house on the North Marches in Aries and Saturn is in the seventh house in Libra. So if you count houses in Nammans, you will say that Jupiter and Saturn aspect each other, but in the Lagna diagram we are in the houses next to each other that have no aspect. So if they're not expecting each other, you'll count the aspect in the merge.
No, you will not see the aspect in the name publication, you can ot my. see your other articles that are about how not to see the namsan and that give you more details about it so that in the navamsa or the single shot you don't see aspects that you don't see yogas and doshas that you do Can now carry over aspects of from one friendly planet to another friendly planet or two planets that are friendly to each other give better results Sitting are also positive signs or neutral signs for each other. However, if a friend, if a planet has migrated to another planet and aspects that planet, there will be challenges in the Dasha and Antar Dasha of the planet regarding the other planet, if two planets form a yoga or a dosha, then in the Dasha Nantar Dasha of one planet, if it aspects the other planet, it is not activated any more, because not only the yoga form is what it is, it also becomes an aspect in the dasha of a planet that aspects another planet that is in nickel Giving challenges to the other house that the planet that is under Shaizal bashan is aspecting, if there is no planet in the house that is expecting that planet whose dasha is on, then the challenges will be reduced or it will not be there are many challenges but this other house is also activated due to the planetary aspect on it and it is Bashar on the planet but de r planet aspects a planet in nickel to it becomes for example 'the other thing is if the two planets that aspect each other are useful planets for each other or form a yoga, for example Jupiter and moon ar e' will also be about that Come home where the moon will be placed and the utility results will come too, come by because the moon is also activated, so a uch aspects can be seen. stronger aspects of the aspects become stronger when practicing yoga between planets or a.
Dosha is formed between the planets. Care must also be taken to ensure that this is also taken into account when looking at aspects. Now planets in transit are also seen their aspects, but the planets whose transits are slow are seen more than those aspects.
Planets that move faster, say Mars Venus Mercury for example. In general, their transits or a particular house take roughly between 20-25 days to 40-45 days, maybe a little longer depending on whether the planet is in decline or not, because of the aspect if they are the aspect on the houses opposite for a very traversing a short or a very short time doesn't mean much, but the aspects of Jupiter Saturn Rahu and Ketu are important because these are slower moving planets and they take a lot of time to walk through a house, Saturn translates as the first house that the Third house, seventh house, and tenth house, then all three aspects must be seen because although Saturn is in transit, it is a slow moving planet and all three aspects should be taken into account so that the aspects in a transit planet should be counted During the transit it should be seen which other houses he expects, as well as during the transit what he considers in the natal chart for e. Example: Saturn is crossing there s first house and Mars is placed in the third house in the natal chart, so the aspect is also activated because Saturn with the third aspect aspects Mars in the NATO map, although Mars in transit may not be in the third house, but because in of the natural map Mars is present in the third house and Saturn transits to the first house, so this aspect is also seen to a lesser extent, but this aspect is also seen that this aspect must also be taken into account I know one of the most important things about aspects aspects are only seen when the planets are closer together, say for example Saturn is in the first house and 10 degrees and if Mars in the third house is 10 degrees then Saturn.
Aspect has a very, very strong aspect on Mars because both degrees are close to each other. However, if the degree difference between Saturn and Mars is more than five degrees, on both Mars is less than 5 degrees or Mars is more than 15 degrees, when Saturn is 10 degrees, the aspect is further reduced, its effect is reduced and when the The difference in degree increases more and more, the aspect decreases by more than 10 degrees, the difference between the planets is regarded as very, very weak and if the difference in degree is more than 15 degrees, then it is very, very weak and hardly any aspect is more than 20 degrees . One should not see any aspects at all, even if the planets are in houses where the aspect should be counted.
Let's say, for example, Saturn has a degree in Aries in the first house Mars is in a 25th degree in Gemini in the third house Difference in degree is huge, almost 24 degrees Saturn's aspect on Mars should not be counted and this is an important thing to consider when you see aspects, even if you are looking at aspects of planets from the kendra and it becomes stronger however aspects of planets, that are placed in the Gustanas will bring these challenges, although these will bring problems, e.g. B.
Saturn is placed in the eighth house and aspects the second house during the Basha and the Antarctic, since the Saturn aspect is also activated, so the second house results are also activated when the second place in the eighth house of the obstacles of upheavals of challenges is, so during Dasha and the entry into Saturn, because Saturn is looking at the second house with its seventh aspect, then there may be a slowdown in income while saving the earning potential of the person as well and if it is a friendly sign that Saturn is expecting , there will at least be stability in income and in saving. However, if Saturn expects a Nickel sign for itself, there will definitely be more challenges, because Sat, because this aspect is activated, for example, if Saturn aspects even from the Libra sign in the eighth house, uh, Aries sign in the second house this is for a Pisces ascendant native then you will find that income or saving will slow down as Saturn awaits its demolition mark in the second house, even though it will itself do well in Libra and the eighth house in terms of Saturn on the eighth house, that is, in terms of research relating to government contracts, relating to exams relating to taxation, relating to asset management, relating to the inheritance or the sources that will be associated with the virtual money Saturn however, giving good results since the seventh aspect of Saturn is on is the second house on the AV shield in terms of income and savings, there may be challenges, there may be obstacles, there may be options, there may be obstacles to the results of the second house as the aspect to see is whether the aspect comes from a kendra house where the planet is strong or from a trine - Making a house that is also a game, which also brings good luck to bring a placement, but if it is from a distant planet, another house is suspected, the Gustanda results will also be effective and so one has to be on a holistic basis Level consider the aspects that take into account the degree to which they are, whether or not they are placed in the good scientific kind signs, whether or not they aspect kind signs, whether they are placed in dusthanas, whether they are yoga or dosha with the planet what they expect, and this care must be taken to see no aspects or yogas or doshas in degree difference degrees difference is high See also whether Saturn aspects a planet with which he also forms a Dosha or a Yoga, and also see whether it is a friendly planet or an Inimi cal planet to this planet and which and in this way you become to be able to interpret the aspects of that particular planet until another point in time with another article. This is your astrology friend and guide who signs off ciaoyou
But even in modern times, aspects are considered either hard (the 90 square, the 180 opposition) or easy (the 120 trine, the 60 sextile). The conjunction aspect (essentially 0, discounting orb) can be in either category, depending on which two planets it is that are conjunct.
Sort of like a blind spot when you are driving. Conjunction means fused together: Inconjunct means a lack of fusion. (This particular aspect is also known as a quincunx). However, if you do manage to get the two planets in inconjunct relationship to 'fire' together, you can do brilliant things with them.
The quincunx is an aspect formed when two planets are 150 apart (3 degrees orb allowed). In synastry, I have seen an overall great synastry with a tight quincunx creating a lot of blockages and misunderstanding. In a natal chart, I have seen a fluid chart becoming extremely blocked in the presence of a quincunx. .
Conjunctions are GENERALLY GOOD in Astrology. But, there are exceptions to every rule. The Conjunction and Parallel of good planets (Jupiter, Venus, Sun) bring good conditions. However, the Conjunction and Parallel of Mars, Saturn, Uranus, Neptune, and Pluto are considered negative and more often bring challenges.
A grand trine makes us highly idealistic as well as insightful and perspective, having a peace-loving disposition. It can also make us highly creative and articulate. A grand trine in the fire signs of Aries, Leo and Sagittarius is quite rare.
Trine ? Trines, formed by a 120 angle on the chart, are generally considered the best and most auspicious aspect of them all, bringing luck, harmony, major synchronicity, and potential for positive changes. 'The simplest way to understand a trine is understanding the elements. .
The traditional major aspects are sometimes called Ptolemaic aspects since they were defined and used by Ptolemy in the 1st Century, AD. These aspects are the conjunction (0), sextile (60), square (90), trine (120), and opposition (180).