Adam W.
A Major Clanger
There, FTFY.
The maths behind cutting these bevels?
- Thread starter uziwood786
- Start date
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Yojevol
Clocking on
possibly quicker if you've got space on your workpiece to do it
Adam W.
A Major Clanger
johna.clements
Established Member
But there is no need to do it by trial and error if you draw a second line. Why would you want to do it by trial and error if you don't have too. All you need is a straight edge and a square and an object to mark units.
Jacob
New Luddism. Wake up and resist.
How would you divide the 2nd line equally?
johna.clements
Established Member
Cambridge Dictionary
geometry
noun [ U ]
the area of mathematics relating to the study of space and the relationships between points, lines, curves, and surfaces:
https://dictionary.cambridge.org/dictionary/english/geometry
You can define words to have non accepted meanings if you wish.
Should I define wood as cheese from now on, chisels are cheese knives, saws are cheese wires and the wood store is the fridge. Do you think that changing the meaning of words is helpful.
johna.clements
Established Member
You have an object of convenient fixed length. A compass would work but you could use other things.
Adam W.
A Major Clanger
If you wish.
Jacob
New Luddism. Wake up and resist.
Your first line is already an object of convenient fixed length. You have the same problem trying to divide the 2nd line.
So what you use for 2nd line is your 1st line plus divider error, which you have already conveniently set the divider to divide exactly into 3 parts.
Phill05
Established Member
Adam, Sorry wrong link, I came across this researching roman flooring and it spelt out what you and Jacob have been saying practical first maths later.
Download the PDF or join and read online
https://www.researchgate.net/public...matical_Machines_A_Laboratory_for_Mathematics
Jacob
New Luddism. Wake up and resist.
johna.clements
Established Member
Jacob
New Luddism. Wake up and resist.
Yes so was I (in the 50s!). But here we are dividing with dividers only, without recourse to scales.
johna.clements
Established Member
No need for scales just straight edge, square and something of fixed length to mark with.
Adam W.
A Major Clanger
You can use geometry to divide a line into any number of equal parts that you wish.......Avoiding the use of cumbersome maths and the use of squares and measurements.
johna.clements
Established Member
The maths I showed in the video above was quite simple. No measurements were required all you need is a gauge to mark consistent distances.
Jacob
New Luddism. Wake up and resist.
Oh OK so you make a scale with compass strokes or a handy object, and then use it on your drawing.
I think my way is easier i.e. dividing the error by eye or using your line plus error as your 2nd line.
This thread has shown, above all, that people approach making things in wildly different ways. The original post I found a bit puzzling, as it was enquiring about the mathematics involved in cutting 'these bevels ' which I though was a bit of a detour from the task in hand, which was to reproduce something that was 'to hand'. This I would have done with the use of a table saw, a rule, and sliding bevel.
Mathematics is a way of looking at things, and understanding the world. And as such, is in everything. But we do not all need to be mathematicians to carry out basic woodworking tasks. Woodwork is working with wood, it is not, as I used to tell my customers, - wood engineering. Wood does not behave as metal does, therefore an engineering approach is not necessarily needed.
I worked with a friend and colleague, years ago, making and fitting lots of doors to cabinets. He was a very capable and tidy cabinet maker, but I was surprised to find on his bench a small notebook crammed with lines and lines of beautifully written , but tiny numbers, that covered page after page like some secret code. We were both carrying out, the self same task, but our approaches to it were completely different.
My approach is a lot more intuitive and pragmatic. If want to work out how much to vary the height of drawers in a chest, I will do it so that it looks right - no complicated formulas, or golden mean, anywhere to be seen
Mathematics is a way of looking at things, and understanding the world. And as such, is in everything. But we do not all need to be mathematicians to carry out basic woodworking tasks. Woodwork is working with wood, it is not, as I used to tell my customers, - wood engineering. Wood does not behave as metal does, therefore an engineering approach is not necessarily needed.
I worked with a friend and colleague, years ago, making and fitting lots of doors to cabinets. He was a very capable and tidy cabinet maker, but I was surprised to find on his bench a small notebook crammed with lines and lines of beautifully written , but tiny numbers, that covered page after page like some secret code. We were both carrying out, the self same task, but our approaches to it were completely different.
My approach is a lot more intuitive and pragmatic. If want to work out how much to vary the height of drawers in a chest, I will do it so that it looks right - no complicated formulas, or golden mean, anywhere to be seen
Adam W.
A Major Clanger
Just do it with a pair of dividers with parallel lines drawn from each end of the line, it's much more accurate.
johna.clements
Established Member
Post a video to explain. Hopefully it will explain as well as the thumb nail of the video I posted.
