Foxholer
Blackballed
See post 179!
In or Out?
- Thread starter i*windows
- Start date
Foxholer
Blackballed
Utter Twaddle!
Draw a circle! Or an arc!
Swango1980
Well-known member
I did, my post directly followed it. I have never ever played with anyone who has ever thought the line between two stakes would be anything other than straight. So I'm finding it odd some think you could assume a curved line, which as I said, would have infinite possibilities.
Foxholer
Blackballed
I saw that. Perhaps I should have posted 'Refer back to post 179', but didn't think I needed to.
Somewhat ironically, similar could apply to the rule/text too!
Colin L
Tour Winner
I remember Mathematics is Fun from way back as a useful book despite its highly questionable title and I see it's still around in an online version. It has clear, simple explanations like this
In geometry a line:
The Encyclopaedia Britannica doesn't pretend that mathematics is fun but it does offer this
line, Basic element of Euclidean geometry. Euclid defined a line as an interval between two points and claimed it could be extended indefinitely in either direction. Such an extension in both directions is now thought of as a line, while Euclid’s original definition is considered a line segment. A ray is part of a line extending indefinitely from a point on the line in only one direction. In a coordinate system on a plane, a line can be represented by the linear equation
ax + by + c = 0.
I especially like the last sentence and will propose to the R&A/USGA that the Definition of Out of Bounds should now, for the avoidance of doubt, read as follows:
When defined by stakes or a fence, the boundary edge is defined by the line ax + by + c= 0 between the course-side points of the stakes or fence posts at ground level.
That would fix it for all who manage to find ambiguity in the clearly unambiguous.. In the meantime I will memorise the equation so that I can quote it at anychancer player who tries to persuade me that his ball is in bounds because of a bight of mown grass outside the boundary stakes. ?
In geometry a line:
- is straight (no bends),
- has no thickness, and
- extends in both directions without end (infinitely).
The Encyclopaedia Britannica doesn't pretend that mathematics is fun but it does offer this
line, Basic element of Euclidean geometry. Euclid defined a line as an interval between two points and claimed it could be extended indefinitely in either direction. Such an extension in both directions is now thought of as a line, while Euclid’s original definition is considered a line segment. A ray is part of a line extending indefinitely from a point on the line in only one direction. In a coordinate system on a plane, a line can be represented by the linear equation
ax + by + c = 0.
I especially like the last sentence and will propose to the R&A/USGA that the Definition of Out of Bounds should now, for the avoidance of doubt, read as follows:
When defined by stakes or a fence, the boundary edge is defined by the line ax + by + c= 0 between the course-side points of the stakes or fence posts at ground level.
That would fix it for all who manage to find ambiguity in the clearly unambiguous.. In the meantime I will memorise the equation so that I can quote it at any
bobmac
Major Champion
Jimaroid
Journeyman Pro
Ah! But because the stakes exist on a sphere the geometry is non-Euclidean where a line is instead an ellipse in 3D space. So the rule should be written as a quaternion.
(Line is fine)
(Line is fine)
chrisd
Major Champion
That's easy for you to say ?
Neilds
Assistant Pro
So, after 10 pages and almost 200 posts, have we got an answer to whether the ball is in or out? ????
backwoodsman
Tour Winner
Twaddle yourself. I can't draw either a circle or an arc with a line. But I can draw both with a curve.
RichA
Well-known member
Colin L
Tour Winner
backwoodsman
Tour Winner
Precisely ...
RichA
Well-known member
?
Precisely contradicts your suggestion that a curve isn't a line. I don't care - just making an observation.
phillarrow
Well-known member
Wrong.
phillarrow
Well-known member
I remember Mathematics is Fun from way back as a useful book despite its highly questionable title and I see it's still around in an online version. It has clear, simple explanations like this
In geometry a line:
- is straight (no bends),
- has no thickness, and
- extends in both directions without end (infinitely).
The Encyclopaedia Britannica doesn't pretend that mathematics is fun but it does offer this
line, Basic element of Euclidean geometry. Euclid defined a line as an interval between two points and claimed it could be extended indefinitely in either direction. Such an extension in both directions is now thought of as a line, while Euclid’s original definition is considered a line segment. A ray is part of a line extending indefinitely from a point on the line in only one direction. In a coordinate system on a plane, a line can be represented by the linear equation
ax + by + c = 0.
I especially like the last sentence and will propose to the R&A/USGA that the Definition of Out of Bounds should now, for the avoidance of doubt, read as follows:
When defined by stakes or a fence, the boundary edge is defined by the line ax + by + c= 0 between the course-side points of the stakes or fence posts at ground level.
That would fix it for all who manage to find ambiguity in the clearly unambiguous.. In the meantime I will memorise the equation so that I can quote it at anychancerplayer who tries to persuade me that his ball is in bounds because of a bight of mown grass outside the boundary stakes. ?
You're using a specific mathematical definition to 'prove' a point that all lines are straight. The problem is, grammatically you are wrong. Just as you are clear that in golf the word line means straight line, I am clear that it doesn't mean that in the real world. The problem with your post is that you are implying that one definition is the only definition. It is literally the equivalent of saying that "pound" can't refer to currency because it means "to hit something."!
In the real world, the actual definition of the word line simply means - a mark on a surface that is longer than it is wide. In some definitions, they even use the borders of a state or country as examples - are they all straight?
Whilst I am happy to have learnt that in golf these things are always straight when it comes to OOB, regardless of any other features, I'm really not sure why people are getting so hot and bothered about the fact that, in my view, it would be better to have the word "straight" in the definition?
Even if 99.9% of golfers understand it, including one word would mean 100% of golfers understand it. Why is 100% not better than 99.9%?
backwoodsman
Tour Winner
Neither do I really ...
Jimaroid
Journeyman Pro
This is amazing. Literally thousands of years of study into geometry by many great civilisations, philosophers and mathematicians being discarded because people would like to cheat themselves in a silly game of ball.
SwingsitlikeHogan
Major Champion
Truth is tbh, if it had been my ball in the OP scenario then my instinct would have been that I was not OOB on the basis that the white posts were identifying the edge of the cut grass as the boundary. And I think that I would most probably have played my ball from where it lay.
I fully understand about drawing straight lines (I’m an honours degree in maths so I know one when I see one ?) and how to determine whether a ball is OOB or not, but in this context unless someone playing with me had said ‘woah..hold on just a sec…’, then though I might have been wrong, in play it would have been.
Just being honest about how I most probably would have thought and that it being OOB on basis of straight line between posts might well not have entered my thinking on grounds of it being frankly a bit ludicrous.
I fully understand about drawing straight lines (I’m an honours degree in maths so I know one when I see one ?) and how to determine whether a ball is OOB or not, but in this context unless someone playing with me had said ‘woah..hold on just a sec…’, then though I might have been wrong, in play it would have been.
Just being honest about how I most probably would have thought and that it being OOB on basis of straight line between posts might well not have entered my thinking on grounds of it being frankly a bit ludicrous.
YandaB
Newbie
According to the definitions in the rules of golf, Ground Under Repair can be marked with "a painted line". I'm certain that I've seen round ones!
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