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Windows general:
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Bay
windows, originally built with the house or bungalow, not only
look nice from outside but they also really do give a feel of
extra roominess indoors. There are more types of bays than you
may have realised, and not all are shown in this example. |
Pythagoras' Theorem:
Pythagoras was a pretty clever bloke from donkeys years ago
who foresaw that a few simple button presses on an ordinary cheap
calculator would one day be all that was needed to check out a bay
window survey before manufacture. He worked out that in a
right-angled triangle the square on the hypotenuse is equal to the
sum of the squares of the other two sides.
To skip all the confusing stuff
below jump to Bay-window survey calculator.
But here you can learn how to check out your measurements of a bay
with a simple cheapie calculator while still on site.
If the old bay is a bit twisted or the symmetry is suspect, then
this formula is the one to use, breaking down all parts into
separate single right-angle triangles to 'prove' all of your sizes.
A | B _ C \ - Look at the A B and C on the left and think of them as
parts of a bay. Come to that, the C could be the roof length of a
lean-to conservatory (add overhang + into gutter).
| Enter a size for both A and B to produce the size of the angle C. | |
| 1. | Multiply size A by itself and write the resulting number down. We will call this number X |
| 2. | Multiply size B by itself and write the resulting number down. We will call this number Y |
| 3. | Add the numbers X and Y together |
| 4. | Press the square root button on your calculator (it looks like a sort of tick) |
| 5. | The number you see is the size of the long side (i.e. width of the window on the angle) |
What you have done is to use
Pythagoras theorem to work out the length of the hypotenuse, in
this case the length of the angled part of the triangle (the actual
window size itself). After you have got the hang of it, you
can use the calculator's memory buttons, which is even easier.
To make life even easier for you, break down your bay into
triangles, go online and run your sizes through Bay-window
survey calculator.
Still confused?
Q. What's all this pythago-, trigo-whatsit and square root
stuff when it's at home, then?,
A. Well, it is also known as the 3-4-5 rule, and this might
explain it better. First you need to remember that 5 is the square
root of 25 and 9 is the square root of 81, still with me? If not,
get a calculator out.
This is the 3-4-5 rule:
Multiply 3 x 3 =9
Multiply 4 x 4 =16
Add the 9 to the 16 = 25.
OK, we know that the square root
of 25 is 5, don't we? Therefore a right-angled triangle in which one
side, A, is 3 units, another side, B, is 4 units, will have a
hypotenuse, C, that is 5. Got it?
That is how you can 'prove' your bay measurements while still on
site, even without expensive computer software programs. With this
method the days of drawing out bays on plywood are gone too If you
don't get it, then sleep on it, and it should suddenly dawn on you
like a bolt out of the blue.
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