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Math challenged, need ratio for weird size mat
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Nov 28, 2018 08:23:39   #
banster Loc: PA, Ontario, N.C.,Key West
 
Simple, for future reference:
19/2x3=28.5 or
28/3x2=19.67

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Nov 28, 2018 10:10:49   #
Dikdik Loc: Winnipeg, Canada
 
I don't know if this helps,
if x = border width

(19 - 2x) / (28- 2x) = 2 / 3

x = 1/2

if you have a 1/2" border all around the resulting dimension ratio is 18 /27 or 2 / 3

Dik

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Nov 28, 2018 11:28:37   #
BudsOwl Loc: Upstate NY and New England
 
wrangler5 wrote:
Old-time tool for answering these questions as they come up: a slide rule. I always kept one in the darkroom, and now keep one within reach of the dry, bright desk when I'm doing post processing and printing.

The benefit is that when you set a number on the C scale next to a number on the D scale, all the other numbers on the C & D scales are the same ratio to each other. (There are no decimal points on these scales, so 2 over 3 is the same as 20 over 30, etc.) While you don't have the third-decimal-place precision you get with a calculator, you CAN SEE and scan ALL the ratios AT ONCE.

While there are collectible slide rules that fetch high prices, ones that would be suitable for print sizing purposes are available beginning at a few bucks on ebay and probably elsewhere. I prefer the Pickett aluminum models with black numbers on yellow, just for ease of reading, but that's a personal choice. And if you can find an affordable CIRCULAR one ("Concise" brand is one I bought new within the last 10 years, but I can't find a listing for one at the moment) you never end up with the slide sticking way out of the tool.
Old-time tool for answering these questions as the... (show quote)

I am not math challenged, but you just gave me a great idea. I still have my Post Log-Log Deci-Trig slide rule from seventy years ago. Now I can put it to good use.
Bud

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Nov 28, 2018 11:35:15   #
Dikdik Loc: Winnipeg, Canada
 
Still have mine, too, from about the same time period. Still remember our Grade 12 Physics teacher not allowing us to use slide rules... he figured we didn't know how to use them.

Dik

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Nov 28, 2018 11:44:14   #
Fredrick Loc: Former NYC, now San Francisco Bay Area
 
yssirk123 wrote:
Good answers to your question; I wanted to share an app I have on my iPhone (also available for Android). It's called "Logan Border Calculator" and it does all the math for you for any size.


Bill, this is why I love this forum. From time to time I do custom mat cutting, and always calculate and recalculate the size of my cuts a couple of times, because of mistakes I’ve made in the past when I try to calculate too fast.

I just downloaded Logan Border Calculator (free) on my iPhone and it works great! No more calculations. THANKS!

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Nov 28, 2018 11:50:49   #
BebuLamar
 
Dikdik wrote:
Still have mine, too, from about the same time period. Still remember our Grade 12 Physics teacher not allowing us to use slide rules... he figured we didn't know how to use them.

Dik


If your slide rule is about 70 years old then the teacher didn't let you use it not because he didn't think you know how but because he considered that cheating.

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Nov 28, 2018 11:57:04   #
Fredrick Loc: Former NYC, now San Francisco Bay Area
 
BebuLamar wrote:
If your slide rule is about 70 years old then the teacher didn't let you use it not because he didn't think you know how but because he considered that cheating.


Ditto! Even 60 years ago we weren’t allowed to use them in class. It was considered cheating. And if you got the answer right (by doing calculations in your head) but didn’t write down the steps properly ... your correct answer didn’t count!

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Nov 28, 2018 13:49:55   #
EllenO
 
When you convert the standard 2x3 photo ratio to decimal value, the ratio is 0.6666666 repeating. Your 19x28 ratio is 0.6785714, which is actually almost indistinguishable from the standard. Sadly, there is no analog equivalent to the 2x3 you want, so my suggestion would be to simply take the 2x3 standard and let your editing program show you the crop. I suspect it will be hardly noticeable, and you should be able to use the 2x3 value. FYI, the closest equivalent to your measurement would be 18x27, only one unit away in length and width. Good luck with the conversion.

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Nov 28, 2018 13:52:37   #
DirtFarmer Loc: Escaped from the NYC area, back to MA
 
I might suggest printing one and trying it out in one of their frames to make sure they got the measurements correct.
Nothing worse than having two people make measurements and finding that one of them got it wrong.

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Nov 28, 2018 14:41:43   #
Dikdik Loc: Winnipeg, Canada
 
W.P. Johnson, the teacher, stated it was because he didn't have the confidence that we knew how to use them. It had nothing to do with cheating.

Dik

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Nov 28, 2018 16:20:06   #
David in Dallas Loc: Dallas, Texas, USA
 
My computer OS has a built-in calculator. I use that.

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Nov 28, 2018 16:20:11   #
BebuLamar
 
Dikdik wrote:
W.P. Johnson, the teacher, stated it was because he didn't have the confidence that we knew how to use them. It had nothing to do with cheating.

Dik


I found it's strange! Today I don't think any 12 Grade teacher would think his students know how to use the slide rule yet I don't think if some students use them he would forbid.

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Nov 28, 2018 17:23:06   #
Dikdik Loc: Winnipeg, Canada
 
BebuLamar wrote:
I found it's strange! Today I don't think any 12 Grade teacher would think his students know how to use the slide rule yet I don't think if some students use them he would forbid.


My grandson is in Grade 12, and he had no idea of what a sliderule was, and, he was only vaguely aware of logarithms, or base 'e'.

Dik

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Nov 29, 2018 07:58:34   #
lamiaceae Loc: San Luis Obispo County, CA
 
wrangler5 wrote:
Old-time tool for answering these questions as they come up: a slide rule. I always kept one in the darkroom, and now keep one within reach of the dry, bright desk when I'm doing post processing and printing.

The benefit is that when you set a number on the C scale next to a number on the D scale, all the other numbers on the C & D scales are the same ratio to each other. (There are no decimal points on these scales, so 2 over 3 is the same as 20 over 30, etc.) While you don't have the third-decimal-place precision you get with a calculator, you CAN SEE and scan ALL the ratios AT ONCE.

While there are collectible slide rules that fetch high prices, ones that would be suitable for print sizing purposes are available beginning at a few bucks on ebay and probably elsewhere. I prefer the Pickett aluminum models with black numbers on yellow, just for ease of reading, but that's a personal choice. And if you can find an affordable CIRCULAR one ("Concise" brand is one I bought new within the last 10 years, but I can't find a listing for one at the moment) you never end up with the slide sticking way out of the tool.
Old-time tool for answering these questions as the... (show quote)


I think I have a couple Slide Rules around. That is an interesting use for something I otherwise have long replaced by HP 10C, 12C, 15C, etc. Pocket Calculators. Yikes a bought an ancient HP 45 in 1974 for some $495! Now that does what a $7 one can do. LOL

I had a circular one at one time. Not sure what "manual" calculating tools I have today.

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Nov 29, 2018 08:57:48   #
BebuLamar
 
lamiaceae wrote:
I think I have a couple Slide Rules around. That is an interesting use for something I otherwise have long replaced by HP 10C, 12C, 15C, etc. Pocket Calculators. Yikes a bought an ancient HP 45 in 1974 for some $495! Now that does what a $7 one can do. LOL

I had a circular one at one time. Not sure what "manual" calculating tools I have today.


But the 45 and 15C still fetch a lot of money today. I think the 15C can fetch as much money as what you paid for it new.

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