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#21
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Jose wrote in
. com: The 90/270 has a tremendous advantage when making turns and remembering where to turn. The system is called the 'sum of the digits' Take any number of the heading indicator and add all three of its digits and keep adding until you get a single digit... (math snipped) Cool piece of math (even more interesting =why= it works, and how it translates into other bases). However, to find my entry, I just look at the DG and pick the number that's off to the side. I turn there, then turn opposite onto the course. No math needed. The ten degrees one way or another doesn't make any difference. Jose Because you're adding 90 to the numbers each time, and our math system is 10-based. If you add 9 to any number in a 10 based system, you are adding 1 to the 10's digit, and subtracting 1 from the 1's digit. The result is if yo uadd the new digits, they will equal out. It's easier to see if you take a single digit number, add 9, and add the digits... It will illustrate the same point. 1 + 9 = 10 1+0 = 1 2 + 9 = 11 1+1 = 2 3 + 9 = 12 1+2 = 3 |
#22
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In article ,
Judah wrote: Jose wrote in . com: The 90/270 has a tremendous advantage when making turns and remembering where to turn. The system is called the 'sum of the digits' Take any number of the heading indicator and add all three of its digits and keep adding until you get a single digit... (math snipped) Cool piece of math (even more interesting =why= it works, and how it translates into other bases). However, to find my entry, I just look at the DG and pick the number that's off to the side. I turn there, then turn opposite onto the course. No math needed. The ten degrees one way or another doesn't make any difference. Jose Because you're adding 90 to the numbers each time, and our math system is 10-based. If you add 9 to any number in a 10 based system, you are adding 1 to the 10's digit, and subtracting 1 from the 1's digit. The result is if yo uadd the new digits, they will equal out. It's easier to see if you take a single digit number, add 9, and add the digits... It will illustrate the same point. 1 + 9 = 10 1+0 = 1 2 + 9 = 11 1+1 = 2 3 + 9 = 12 1+2 = 3 I used to know enough math to be able to solve differential equations (well, the easy ones anyway), but when I'm flying an airplane in the clouds, I don't want to waste any of my limited and precious remaining neurons on subtraction. The way I make a 90 degree turn is: 1) Move the heading bug until it's pointing sideways. 2) Turn the plane until the heading bug is pointing upright again. |
#23
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I absolutely agree... I was just answering the question of why the math
"trick" works. In flight I can't think about Math - I have to concentrate on things like remembering whether I am coming from the East or the West! ![]() Roy Smith wrote in : In article , Judah wrote: Jose wrote in . com: The 90/270 has a tremendous advantage when making turns and remembering where to turn. The system is called the 'sum of the digits' Take any number of the heading indicator and add all three of its digits and keep adding until you get a single digit... (math snipped) Cool piece of math (even more interesting =why= it works, and how it translates into other bases). However, to find my entry, I just look at the DG and pick the number that's off to the side. I turn there, then turn opposite onto the course. No math needed. The ten degrees one way or another doesn't make any difference. Jose Because you're adding 90 to the numbers each time, and our math system is 10-based. If you add 9 to any number in a 10 based system, you are adding 1 to the 10's digit, and subtracting 1 from the 1's digit. The result is if yo uadd the new digits, they will equal out. It's easier to see if you take a single digit number, add 9, and add the digits... It will illustrate the same point. 1 + 9 = 10 1+0 = 1 2 + 9 = 11 1+1 = 2 3 + 9 = 12 1+2 = 3 I used to know enough math to be able to solve differential equations (well, the easy ones anyway), but when I'm flying an airplane in the clouds, I don't want to waste any of my limited and precious remaining neurons on subtraction. The way I make a 90 degree turn is: 1) Move the heading bug until it's pointing sideways. 2) Turn the plane until the heading bug is pointing upright again. |
#24
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In article ,
Judah wrote: I absolutely agree... I was just answering the question of why the math "trick" works. In flight I can't think about Math - I have to concentrate on things like remembering whether I am coming from the East or the West! Oh, that's easy. Fly at 4500 and call up ATC for flight following. If he yells at you about your altitude, you know you're coming from the West. |
#25
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Roy Smith wrote in
: In article , Judah wrote: I absolutely agree... I was just answering the question of why the math "trick" works. In flight I can't think about Math - I have to concentrate on things like remembering whether I am coming from the East or the West! Oh, that's easy. Fly at 4500 and call up ATC for flight following. If he yells at you about your altitude, you know you're coming from the West. Whenever I call up ATC and mistakenly tell him, "I am 10 miles West of HPN at 4500", he always seems to get tense and tells me to ident.. |
#26
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Y'All,
Speaking of Math tricks. I often made my math tests for the 6-7-8 grades so that the answers could easily be checked just by doing the sum of the digits. Works for addition, subtraction, multiplication and division. Find it in the Encyclopedia Britannica. Not perfect if numbers in the answers are transposed but otherwise a quick check when you have many papers to correct. More if you wish. Gene Whitt |
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