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Napier's Rules for right-angled spherical triangles

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Steering Mariners

Steering Mariners

Күн бұрын

Using an example, this video explains the principles and practice of Napier's rules used to solve right-angled spherical triangles. Napier's rules are popularly used as part of solving questions related to great circle sailing and composite great circle sailing.
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Contents of this video will benefit mariners preparing for exams (written and oral examinations).
Mariners will also benefit by watching the following videos:
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Napier’s rules (example 2): • Using Napier's Rule to...
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Great circle sailing (example 2): • How to solve Great Cir...
Great circle sailing (example 3): • Great Circle sailing c...
Great circle sailing (Example 4): • Great Circle Sailing C...
Determining the final (and Initial) course angle: • How to determine the F...
Composite great circle sailing: • Composite Great Circle...
Composite great circle sailing (Example 2): • How to solve Composite...
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Plane sailing (example 2): • How to Calculate final...
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Plane Sailing (example 4): • Plane Sailing Calculat...
Mercator sailing (Example 1): • How to solve Mercator ...
Mercator sailing (Example 2): • Mercator sailing or Rh...
Mercator Sailing (Example 3): • Mercator Sailing Calcu...
Mercator Sailing (Example 4): • Mercator Sailing Calcu...
Calculate mean latitude: • How to calculate mean ...
A trick to remembering formulas in sailings: • A simple trick to reme...
Compare plane sailing to mercator sailing: • How to compare Plane S...
Day’s work (wind and leeway): • Day's Work - with eff...
Horizontal sextant angles: • Using horizontal sexta...
The use of position lines: • Coastal Navigation - T...
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Tidal window calculations: • Tidal window calculati...
Secondary port tide calculations: • Secondary Port Tide Ca...
Explaining interpolation of second port tide calculation: • Explaining the interpo...
Simplified harmonic method of tide calculation: • Simplified Harmonic Me...
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Tides (General Theory): • Tides - General theory...

Пікірлер: 50
@elizabethwilliams5025
@elizabethwilliams5025 Жыл бұрын
I have to learn about Napier's Rule in order to teach my students for an Academic Super Bowl. I cannot believe what an enormously good teacher you are. You also have the most lyrical, gentle voice. Thank you over and over.
@SteeringMariners
@SteeringMariners Жыл бұрын
Thank you Elizabeth, so sweet of you:)
@NavikRudra
@NavikRudra 2 жыл бұрын
People please have courtesy to say thanks if you like it. Thank a lot sir
@SteeringMariners
@SteeringMariners 2 жыл бұрын
Very kind of you Navik, thank you:)
@raymondallenjhangiani7670
@raymondallenjhangiani7670 Жыл бұрын
Thank you! sir 🙏 very well explained 👍 I never dreamed, I would someday be able to understand spherical trigonometry using the cosine formula for non 90 degree angles in great circle sailing or using the Napier's rules for 90 degree angle or side for G C sailing 🙏 God bless you immensely for all your hard work , effort n devotion to teach others 🙏
@troy0019
@troy0019 4 жыл бұрын
Very comprehensive. Thank u so much,sir.
@shivaoraun6922
@shivaoraun6922 3 жыл бұрын
Thank you ❤❤❤ I went through my notes but could not understand After watching that i finally understood the theory as well as question
@atulnavigator2318
@atulnavigator2318 3 жыл бұрын
Thank you sir for explaining how to make angle in Napier rule
@nwatudaberechukwu9473
@nwatudaberechukwu9473 Жыл бұрын
Thanks man
@nabrajbudha203
@nabrajbudha203 4 жыл бұрын
Thank you so much
@ebadahmad2002
@ebadahmad2002 4 жыл бұрын
Really helpful video Sir, Thank you for the efforts that you put in.
@MOHITSHARMA-ue8el
@MOHITSHARMA-ue8el Жыл бұрын
thanku soo much sir
@trushnakamble3533
@trushnakamble3533 2 жыл бұрын
Sir thank u for making things so easy for us 🙌🙌🙌
@user-qy5il8yz6o
@user-qy5il8yz6o Жыл бұрын
Thank you sir.
@adityanarkar1370
@adityanarkar1370 5 жыл бұрын
Thank you very much sir ☺️
@SteeringMariners
@SteeringMariners 5 жыл бұрын
Aditya Narkar you are most welcome buddy 😊
@pennyoflaherty1345
@pennyoflaherty1345 4 жыл бұрын
Thankyou Sir this has been one of my best finds re: trig - I happen to be expanding my math from where it was left many years ago. I'm currently mapping out " 11 pointed Star " upon a sphere where I do believe this will greatly aide - Trent O'Flaherty
@yashnagane6688
@yashnagane6688 2 жыл бұрын
Thank you sir
@dev7020
@dev7020 3 жыл бұрын
Thanks
@stdyturjo9569
@stdyturjo9569 5 жыл бұрын
it was really helpful, sir!!!!
@prakashkumar-dk3cr
@prakashkumar-dk3cr 5 жыл бұрын
Sir you explained very well Kindly put one numerical part for PZX trangle for finding observers position
@brettAnichols
@brettAnichols 2 жыл бұрын
I don't know if it helps for anyone else, but if you picture a 3D object inside the sphere (I use a ✈️), when looking at parts of a sphere you can picture the part of the airplane that is in that part of the sphere. *I'm here as a student of occult magic, for better precision in visualization. This video helped tremendously!
@jasonturkson42
@jasonturkson42 Жыл бұрын
A student of what magic ?
@brettAnichols
@brettAnichols Жыл бұрын
@@jasonturkson42 Mostly the tradition stemming out of the Golden Dawn. I've been through the Pathworking of the Kabbalah one time.
@jasonturkson42
@jasonturkson42 Жыл бұрын
@@brettAnichols O ok so you're in the practitioner studies I understand now
@prinuprasad
@prinuprasad 5 жыл бұрын
Thank u sir, it's really helped me out. Could u please upload tide calculations of stand and secondary port.and shm method
@sgiri2012
@sgiri2012 3 ай бұрын
Sir,I have a doubt in middle part. You said that it is 90-a. But there arises a confusion that whether the angle A is also supposed to be the middleone. Thats it sir
@vasilulde
@vasilulde 2 жыл бұрын
Thank soo much sir❤
@kgs1878
@kgs1878 4 жыл бұрын
U r the best sir...
@SteeringMariners
@SteeringMariners 4 жыл бұрын
Thanks buddy, very kind of you:)
@gurpindersingh3223
@gurpindersingh3223 5 жыл бұрын
Hi, thank you, it’s been explained very well, but there must have been atleast a little mention about how to go about solving the triangle with one of the “sides as 90 degrees”.
@SteeringMariners
@SteeringMariners 5 жыл бұрын
You are right Gurpinder. I will make a video on that topic soon:)
@bigfatshit8186
@bigfatshit8186 4 жыл бұрын
If I recall, that is called Quadrantal Spherical triangle
@milind5726
@milind5726 3 жыл бұрын
Sir, Here in this video ,you havent added a negative sign in tan adj formula, but in other video you have added.
@SteeringMariners
@SteeringMariners 3 жыл бұрын
you add negative sign only for quadrantal triangles (where side is 90) not right-angled spherical triangles.
@marinerbhutto213
@marinerbhutto213 Жыл бұрын
Thankyou sir 🇵🇰
@muhammadibrahiem178
@muhammadibrahiem178 3 жыл бұрын
love you sir you are a great teacher. may Allah bless on you ameen
@SteeringMariners
@SteeringMariners 3 жыл бұрын
U r very kind 🙏🙌😊
@vickyjha2833
@vickyjha2833 2 жыл бұрын
Kindly explain formula when side is 90 degree
@nitesh1906
@nitesh1906 4 жыл бұрын
Sir... Sometimes we solve the Ambiguity cases... And we get 2 answers for one angle like 80deg OR 100 deg... How to resolve this ambiguity?
@abraaaa
@abraaaa Жыл бұрын
هل يمكن أن تعطني اسم المرجع مستخدم في الشرح
@Rabicr74
@Rabicr74 Жыл бұрын
Sir we can't take value of C = 90
@amruthaprakash6261
@amruthaprakash6261 3 жыл бұрын
How this napier's rule is related to crystallography?
@sakeyrajesh9238
@sakeyrajesh9238 4 жыл бұрын
There is any book for this ?where it available,can u send me reply
@SteeringMariners
@SteeringMariners 4 жыл бұрын
I am sure there are books out there on Napier's rules and spherical trigonometry but I am not aware of them. Sorry.
@nitesh1906
@nitesh1906 4 жыл бұрын
Yes... U can get a book from Nutshell publications.. Spherical Trignometry by Capt.H.Subramaniam.
@biswajitbarman8270
@biswajitbarman8270 3 жыл бұрын
Don't long the video by just repeating same things We are not kids
@thebadangel85
@thebadangel85 Жыл бұрын
Any body can understand Indian eng faaaakkkk
@brightawe9002
@brightawe9002 2 жыл бұрын
Thank you sir.
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