In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is said to be a tangent of a curve y = f (x) at a point x = c on the curve if the line passes through the point (c, f (c)) on the curve and has slope f'(c) where f' is the derivative of f. A similar definition applies to space curves and curves in n-dimensional Euclidean space.
As it passes through the point where the tangent line and the curve meet, called the point of tangency, the tangent line is "going in the same direction" as the curve, and is thus the best straight-line approximation to the curve at that point.
Similarly, the tangent plane to a surface at a given point is the plane that "just touches" the surface at that point. The concept of a tangent is one of the most fundamental notions in differential geometry and has been extensively generalized; see Tangent space.
This video is inspired from 3Blue1Brown's Lockdown Math series.
Feel free to read the code here: https://github.com/adenosie/math-vids
published: 24 Nov 2020
The Tangent Line and the Derivative (Calculus)
In calculus, you’ll often hear “The derivative is the slope of the tangent line.” But what is a tangent line? The definition is trickier than you might think.
Tangent lines are important because they are the best way to approximate a curve using a line. We can then use the slope of the line as a way to measure the “slope” of the curve.
Be sure to subscribe so you don't miss videos from Socratica!
http://bit.ly/1ixuu9W
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► Join our Patreon : https://www.patreon.com/socratica
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published: 06 Nov 2016
Finding The Tangent Line Equation With Derivatives - Calculus Problems
This calculus video tutorial shows you how to find the equation of a tangent line with derivatives. Techniques include the power rule, product rule, and implicit differentiation. This video shows you how to write the equation of the tangent line in point slope form and slope intercept form. This video contains plenty of examples and practice problems.
Application of Derivatives - Free Formula Sheet:
https://bit.ly/4eV6r1b
_____________________________
Derivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0w&t=1s
Equation of the Tangent Line:
https://www.youtube.com/watch?v=5NyeGzbBJQM
Derivatives - Horizontal Tangent Line:
https://www.youtube.com/watch?v=aNfoxbMUOHk
The Equation of The Normal Line:
https://www.y...
published: 21 Feb 2016
Finding the Equation of a Tangent
published: 29 Jun 2015
What Is a Tangent in Math?
What Is a Tangent in Math?. Part of the series: Math and Algebra Help. In mathematical terms, a "tangent" is something that meets some very specific qualifications. Learn about a tangent in math with help from a mathematics educator in this free video clip.
published: 14 Dec 2020
TANGENT LINES AND CIRCLES EXPLAINED!
Let's explore, identify, and describe the relationship between a circle and a tangent line and why the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
★ Want more FREE weekly math videos? Subscribe Now: http://bit.ly/1OVJnyh
★★ Why Math? Download YOUR Free eBook and sign-up for our FREE weekly newsletter: http://www.mashupmath.com/resources/
Understand and apply theorems about circles.
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
What is a tangent line to a circle?
Why is a tagent line and ...
published: 05 Oct 2016
CIRCLES, CHORDS TANGENTS AND ANGLES. FORM 3 MATHEMATICS
published: 23 May 2023
What’s the area?
This is a short, animated visual proof finding the area bounded between three mutually tangent unit circles.
Have a different solution? Share it in the comments!
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
Check out these related videos:
https://youtu.be/5VaQVXECaVM
https://youtu.be/6DnnJlzbCC4
https://youtu.be/PNQxS6antBY
This animation is based on an exercise from Roger Nelsen's and Claudi Alsina's wonderful book "Icons of Mathematics". You can find the book and other information about it at the links below
(I may receive commissions from this paid link) : Icons of Mathematics from Amazon https://amzn.to/3L5U44S
https://www.maa.org/press/maa-reviews/icons-of-mathematics-an-exploratio...
published: 20 Mar 2024
Ashes of Creation with Tangent 369 | Gameplay Session 4 | Vyra Realm
Tangent369.com
Ashes of Creation
US Vyra Realm
published: 11 Nov 2024
Calculus 1: Limits & Derivatives (1 of 27) The Tangent Line and The Secant Line - Reviewed
Visit http://ilectureonline.com for more math and science lectures!
In this video I will review the tangent and secant line with respect to a function.
Next video in the series can be seen at:
http://youtu.be/723jsxCO7Oc
In calculus, you’ll often hear “The derivative is the slope of the tangent line.” But what is a tangent line? The definition is trickier than you might think....
In calculus, you’ll often hear “The derivative is the slope of the tangent line.” But what is a tangent line? The definition is trickier than you might think.
Tangent lines are important because they are the best way to approximate a curve using a line. We can then use the slope of the line as a way to measure the “slope” of the curve.
Be sure to subscribe so you don't miss videos from Socratica!
http://bit.ly/1ixuu9W
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Ways to support our channel:
► Join our Patreon : https://www.patreon.com/socratica
► Make a one-time PayPal donation: https://www.paypal.me/socratica
► We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!
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Connect with us!
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Written and Produced by Michael Harrison
Michael Harrison received his BS in math from Caltech, and his MS from the University of Washington where he studied algebraic number theory. After teaching math for a few years, Michael worked in finance both as a developer and a quantitative analyst (quant). He then worked at Google as a software engineer for over 5 years before leaving to found Socratica.
You can follow Michael on Twitter: http://www.twitter.com/mlh496
♦♦♦♦♦♦♦♦♦♦
In calculus, you’ll often hear “The derivative is the slope of the tangent line.” But what is a tangent line? The definition is trickier than you might think.
Tangent lines are important because they are the best way to approximate a curve using a line. We can then use the slope of the line as a way to measure the “slope” of the curve.
Be sure to subscribe so you don't miss videos from Socratica!
http://bit.ly/1ixuu9W
♦♦♦♦♦♦♦♦♦♦
Ways to support our channel:
► Join our Patreon : https://www.patreon.com/socratica
► Make a one-time PayPal donation: https://www.paypal.me/socratica
► We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!
♦♦♦♦♦♦♦♦♦♦
Connect with us!
Facebook: https://www.facebook.com/SocraticaStudios/
Instagram: https://www.instagram.com/SocraticaStudios/
Twitter: https://twitter.com/Socratica
♦♦♦♦♦♦♦♦♦♦
Written and Produced by Michael Harrison
Michael Harrison received his BS in math from Caltech, and his MS from the University of Washington where he studied algebraic number theory. After teaching math for a few years, Michael worked in finance both as a developer and a quantitative analyst (quant). He then worked at Google as a software engineer for over 5 years before leaving to found Socratica.
You can follow Michael on Twitter: http://www.twitter.com/mlh496
♦♦♦♦♦♦♦♦♦♦
This calculus video tutorial shows you how to find the equation of a tangent line with derivatives. Techniques include the power rule, product rule, and implic...
This calculus video tutorial shows you how to find the equation of a tangent line with derivatives. Techniques include the power rule, product rule, and implicit differentiation. This video shows you how to write the equation of the tangent line in point slope form and slope intercept form. This video contains plenty of examples and practice problems.
Application of Derivatives - Free Formula Sheet:
https://bit.ly/4eV6r1b
_____________________________
Derivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0w&t=1s
Equation of the Tangent Line:
https://www.youtube.com/watch?v=5NyeGzbBJQM
Derivatives - Horizontal Tangent Line:
https://www.youtube.com/watch?v=aNfoxbMUOHk
The Equation of The Normal Line:
https://www.youtube.com/watch?v=lEF2mmR3CWU
The Equation of The Secant Line:
https://www.youtube.com/watch?v=680o1GL-LRg
_________________________________
Average and Instantaneous Velocity:
https://www.youtube.com/watch?v=AwxT1xjMP9g
Instantaneous Rate of Change:
https://www.youtube.com/watch?v=dvQdQLTnDpk
Derivatives of Rational Functions:
https://www.youtube.com/watch?v=qknoFdPwEco
Derivatives of Radical Functions:
https://www.youtube.com/watch?v=B1YkgNDbx5o
Derivatives of Fractions:
https://www.youtube.com/watch?v=qrBkQ8Ci2fM
________________________________
Derivatives - Higher Order:
https://www.youtube.com/watch?v=s7rd9YPJrNc
Simplifying Derivatives:
https://www.youtube.com/watch?v=3lUOtjkqfQo
Derivatives - The Product Rule:
https://www.youtube.com/watch?v=17X5g9QArTc
Derivatives - The Quotient Rule:
https://www.youtube.com/watch?v=8jVDEcQ0wXk
Derivatives - The Chain Rule:
https://www.youtube.com/watch?v=HaHsqDjWMLU
_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
Derivatives - Formula Sheet:
https://bit.ly/4dThzf1
This calculus video tutorial shows you how to find the equation of a tangent line with derivatives. Techniques include the power rule, product rule, and implicit differentiation. This video shows you how to write the equation of the tangent line in point slope form and slope intercept form. This video contains plenty of examples and practice problems.
Application of Derivatives - Free Formula Sheet:
https://bit.ly/4eV6r1b
_____________________________
Derivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0w&t=1s
Equation of the Tangent Line:
https://www.youtube.com/watch?v=5NyeGzbBJQM
Derivatives - Horizontal Tangent Line:
https://www.youtube.com/watch?v=aNfoxbMUOHk
The Equation of The Normal Line:
https://www.youtube.com/watch?v=lEF2mmR3CWU
The Equation of The Secant Line:
https://www.youtube.com/watch?v=680o1GL-LRg
_________________________________
Average and Instantaneous Velocity:
https://www.youtube.com/watch?v=AwxT1xjMP9g
Instantaneous Rate of Change:
https://www.youtube.com/watch?v=dvQdQLTnDpk
Derivatives of Rational Functions:
https://www.youtube.com/watch?v=qknoFdPwEco
Derivatives of Radical Functions:
https://www.youtube.com/watch?v=B1YkgNDbx5o
Derivatives of Fractions:
https://www.youtube.com/watch?v=qrBkQ8Ci2fM
________________________________
Derivatives - Higher Order:
https://www.youtube.com/watch?v=s7rd9YPJrNc
Simplifying Derivatives:
https://www.youtube.com/watch?v=3lUOtjkqfQo
Derivatives - The Product Rule:
https://www.youtube.com/watch?v=17X5g9QArTc
Derivatives - The Quotient Rule:
https://www.youtube.com/watch?v=8jVDEcQ0wXk
Derivatives - The Chain Rule:
https://www.youtube.com/watch?v=HaHsqDjWMLU
_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
Derivatives - Formula Sheet:
https://bit.ly/4dThzf1
What Is a Tangent in Math?. Part of the series: Math and Algebra Help. In mathematical terms, a "tangent" is something that meets some very specific qualificati...
What Is a Tangent in Math?. Part of the series: Math and Algebra Help. In mathematical terms, a "tangent" is something that meets some very specific qualifications. Learn about a tangent in math with help from a mathematics educator in this free video clip.
What Is a Tangent in Math?. Part of the series: Math and Algebra Help. In mathematical terms, a "tangent" is something that meets some very specific qualifications. Learn about a tangent in math with help from a mathematics educator in this free video clip.
Let's explore, identify, and describe the relationship between a circle and a tangent line and why the radius of a circle is perpendicular to the tangent where ...
Let's explore, identify, and describe the relationship between a circle and a tangent line and why the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
★ Want more FREE weekly math videos? Subscribe Now: http://bit.ly/1OVJnyh
★★ Why Math? Download YOUR Free eBook and sign-up for our FREE weekly newsletter: http://www.mashupmath.com/resources/
Understand and apply theorems about circles.
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
What is a tangent line to a circle?
Why is a tagent line and a radius perpendicular?
How many times does a tangent line cross a circle?
Image Credit: Emojis provided free by http://emojione.com
✔✔✔SUBSCRIBE FOR FREE: https://www.youtube.com/channel/UCtBt...
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Let's explore, identify, and describe the relationship between a circle and a tangent line and why the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
★ Want more FREE weekly math videos? Subscribe Now: http://bit.ly/1OVJnyh
★★ Why Math? Download YOUR Free eBook and sign-up for our FREE weekly newsletter: http://www.mashupmath.com/resources/
Understand and apply theorems about circles.
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
What is a tangent line to a circle?
Why is a tagent line and a radius perpendicular?
How many times does a tangent line cross a circle?
Image Credit: Emojis provided free by http://emojione.com
✔✔✔SUBSCRIBE FOR FREE: https://www.youtube.com/channel/UCtBt...
✔✔JOIN OUR MAILING LIST: http://bit.ly/1TqV94V
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This is a short, animated visual proof finding the area bounded between three mutually tangent unit circles.
Have a different solution? Share it in the comment...
This is a short, animated visual proof finding the area bounded between three mutually tangent unit circles.
Have a different solution? Share it in the comments!
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
Check out these related videos:
https://youtu.be/5VaQVXECaVM
https://youtu.be/6DnnJlzbCC4
https://youtu.be/PNQxS6antBY
This animation is based on an exercise from Roger Nelsen's and Claudi Alsina's wonderful book "Icons of Mathematics". You can find the book and other information about it at the links below
(I may receive commissions from this paid link) : Icons of Mathematics from Amazon https://amzn.to/3L5U44S
https://www.maa.org/press/maa-reviews/icons-of-mathematics-an-exploration-of-twenty-key-images
https://bookstore.ams.org/dol-56/
#manim #math #mathvideo #mathshorts #geometry #hexagon #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #root3 #pww #proofwithoutwords #proof #algebra #areas #mathematics #mathvideo #mtbos
To learn more about animating with manim, check out:
https://manim.community
This is a short, animated visual proof finding the area bounded between three mutually tangent unit circles.
Have a different solution? Share it in the comments!
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
Check out these related videos:
https://youtu.be/5VaQVXECaVM
https://youtu.be/6DnnJlzbCC4
https://youtu.be/PNQxS6antBY
This animation is based on an exercise from Roger Nelsen's and Claudi Alsina's wonderful book "Icons of Mathematics". You can find the book and other information about it at the links below
(I may receive commissions from this paid link) : Icons of Mathematics from Amazon https://amzn.to/3L5U44S
https://www.maa.org/press/maa-reviews/icons-of-mathematics-an-exploration-of-twenty-key-images
https://bookstore.ams.org/dol-56/
#manim #math #mathvideo #mathshorts #geometry #hexagon #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #root3 #pww #proofwithoutwords #proof #algebra #areas #mathematics #mathvideo #mtbos
To learn more about animating with manim, check out:
https://manim.community
Visit http://ilectureonline.com for more math and science lectures!
In this video I will review the tangent and secant line with respect to a function.
Next v...
Visit http://ilectureonline.com for more math and science lectures!
In this video I will review the tangent and secant line with respect to a function.
Next video in the series can be seen at:
http://youtu.be/723jsxCO7Oc
Visit http://ilectureonline.com for more math and science lectures!
In this video I will review the tangent and secant line with respect to a function.
Next video in the series can be seen at:
http://youtu.be/723jsxCO7Oc
In calculus, you’ll often hear “The derivative is the slope of the tangent line.” But what is a tangent line? The definition is trickier than you might think.
Tangent lines are important because they are the best way to approximate a curve using a line. We can then use the slope of the line as a way to measure the “slope” of the curve.
Be sure to subscribe so you don't miss videos from Socratica!
http://bit.ly/1ixuu9W
♦♦♦♦♦♦♦♦♦♦
Ways to support our channel:
► Join our Patreon : https://www.patreon.com/socratica
► Make a one-time PayPal donation: https://www.paypal.me/socratica
► We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!
♦♦♦♦♦♦♦♦♦♦
Connect with us!
Facebook: https://www.facebook.com/SocraticaStudios/
Instagram: https://www.instagram.com/SocraticaStudios/
Twitter: https://twitter.com/Socratica
♦♦♦♦♦♦♦♦♦♦
Written and Produced by Michael Harrison
Michael Harrison received his BS in math from Caltech, and his MS from the University of Washington where he studied algebraic number theory. After teaching math for a few years, Michael worked in finance both as a developer and a quantitative analyst (quant). He then worked at Google as a software engineer for over 5 years before leaving to found Socratica.
You can follow Michael on Twitter: http://www.twitter.com/mlh496
♦♦♦♦♦♦♦♦♦♦
This calculus video tutorial shows you how to find the equation of a tangent line with derivatives. Techniques include the power rule, product rule, and implicit differentiation. This video shows you how to write the equation of the tangent line in point slope form and slope intercept form. This video contains plenty of examples and practice problems.
Application of Derivatives - Free Formula Sheet:
https://bit.ly/4eV6r1b
_____________________________
Derivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0w&t=1s
Equation of the Tangent Line:
https://www.youtube.com/watch?v=5NyeGzbBJQM
Derivatives - Horizontal Tangent Line:
https://www.youtube.com/watch?v=aNfoxbMUOHk
The Equation of The Normal Line:
https://www.youtube.com/watch?v=lEF2mmR3CWU
The Equation of The Secant Line:
https://www.youtube.com/watch?v=680o1GL-LRg
_________________________________
Average and Instantaneous Velocity:
https://www.youtube.com/watch?v=AwxT1xjMP9g
Instantaneous Rate of Change:
https://www.youtube.com/watch?v=dvQdQLTnDpk
Derivatives of Rational Functions:
https://www.youtube.com/watch?v=qknoFdPwEco
Derivatives of Radical Functions:
https://www.youtube.com/watch?v=B1YkgNDbx5o
Derivatives of Fractions:
https://www.youtube.com/watch?v=qrBkQ8Ci2fM
________________________________
Derivatives - Higher Order:
https://www.youtube.com/watch?v=s7rd9YPJrNc
Simplifying Derivatives:
https://www.youtube.com/watch?v=3lUOtjkqfQo
Derivatives - The Product Rule:
https://www.youtube.com/watch?v=17X5g9QArTc
Derivatives - The Quotient Rule:
https://www.youtube.com/watch?v=8jVDEcQ0wXk
Derivatives - The Chain Rule:
https://www.youtube.com/watch?v=HaHsqDjWMLU
_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
Derivatives - Formula Sheet:
https://bit.ly/4dThzf1
What Is a Tangent in Math?. Part of the series: Math and Algebra Help. In mathematical terms, a "tangent" is something that meets some very specific qualifications. Learn about a tangent in math with help from a mathematics educator in this free video clip.
Let's explore, identify, and describe the relationship between a circle and a tangent line and why the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
★ Want more FREE weekly math videos? Subscribe Now: http://bit.ly/1OVJnyh
★★ Why Math? Download YOUR Free eBook and sign-up for our FREE weekly newsletter: http://www.mashupmath.com/resources/
Understand and apply theorems about circles.
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
What is a tangent line to a circle?
Why is a tagent line and a radius perpendicular?
How many times does a tangent line cross a circle?
Image Credit: Emojis provided free by http://emojione.com
✔✔✔SUBSCRIBE FOR FREE: https://www.youtube.com/channel/UCtBt...
✔✔JOIN OUR MAILING LIST: http://bit.ly/1TqV94V
✔FOLLOW US ON TWITTER: http://www.twitter.com/mashupmath
✔FOLLOW US ON INSTAGRAM: http://www.instagram.com/mashupmath
✔FOLLOW US ON PINTEREST: http://www.pinterest.com/mashupmath
✔LIKE US ON FACEBOOK: http://www.facebook.com/mashupmath
This is a short, animated visual proof finding the area bounded between three mutually tangent unit circles.
Have a different solution? Share it in the comments!
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
Check out these related videos:
https://youtu.be/5VaQVXECaVM
https://youtu.be/6DnnJlzbCC4
https://youtu.be/PNQxS6antBY
This animation is based on an exercise from Roger Nelsen's and Claudi Alsina's wonderful book "Icons of Mathematics". You can find the book and other information about it at the links below
(I may receive commissions from this paid link) : Icons of Mathematics from Amazon https://amzn.to/3L5U44S
https://www.maa.org/press/maa-reviews/icons-of-mathematics-an-exploration-of-twenty-key-images
https://bookstore.ams.org/dol-56/
#manim #math #mathvideo #mathshorts #geometry #hexagon #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #root3 #pww #proofwithoutwords #proof #algebra #areas #mathematics #mathvideo #mtbos
To learn more about animating with manim, check out:
https://manim.community
Visit http://ilectureonline.com for more math and science lectures!
In this video I will review the tangent and secant line with respect to a function.
Next video in the series can be seen at:
http://youtu.be/723jsxCO7Oc
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is said to be a tangent of a curve y = f (x) at a point x = c on the curve if the line passes through the point (c, f (c)) on the curve and has slope f'(c) where f' is the derivative of f. A similar definition applies to space curves and curves in n-dimensional Euclidean space.
As it passes through the point where the tangent line and the curve meet, called the point of tangency, the tangent line is "going in the same direction" as the curve, and is thus the best straight-line approximation to the curve at that point.
Similarly, the tangent plane to a surface at a given point is the plane that "just touches" the surface at that point. The concept of a tangent is one of the most fundamental notions in differential geometry and has been extensively generalized; see Tangent space.
Alone at night In the cold and windy city When the candle fades away Another morning And the sun's shining pretty You can watch the children play But there's a hole in the sky And it cries for you and I And we can't find the reason for calling There's a new place to see Another world for you and me And one can hear the bell which will be tolling Tolling They crossed the line See the light, it shines They crossed the line Heaven or hell, who will decide What's coming after The curse of wrath and agony, oh lord Please help us find our way We tried to get out Of the last light of eternity But we couldn't get away There's a hole in the sky And it cries for you and I But we can't find the reason for dreaming There's a new place to see Another world for you and me