Mr. Marshall Lett started a thread over in sci.math, asking the question of what the slant cut in cone truly is?
> On Thursday, September 29, 2022 at 7:21:51 AM UTC-5, Marshall Lett wrote:
> > I'm confused. On the one hand, my teachers at school always told me it was. On the other hand, the King of Science, Archimedes Plutonium, says it is not.
> >
> > Who am I supposed to believe?
Mr.Sulzberger rather have all New York residents believe slant cut of cone is ellipse, rather than publish the truth in The New York Times Science section. For to publish the truth on conics means having to print the name Archimedes Plutonium as discoverer of the truth. And nothing worse in all the world for Mr. Sulzberger is to have to print the name Archimedes Plutonium in his newspaper. Hatred rules the The New York Times, not the truth of the world.
Joseph Kahn, why even bother having a Science section at The New York Times, when your newspaper cannot even inform and teach readers the truth of science-- slant cut of cone is Oval, never the ellipse. Even your New York residents are asking question. Even your New York High School students have more geometry brains than the staff at the The New York Times.
> Kibo on Joseph Kahn of The New York Times rather publish kibo's nonsense of conic than AP's truth-- Slant cut of Cylinder is ellipse, therefore, slant cut of cone is Oval, never ellipse.
> > On Thursday, September 29, 2022 at 7:21:51 AM UTC-5, Marshall Lett wrote:
> > > I'm confused. On the one hand, my teachers at school always told me it was. On the other hand, the King of Science, Archimedes Plutonium, says it is not.
> > >
> > > Who am I supposed to believe?
> Kibo Parry M. along with his 938 is 12% short of 945 wrote:
>
> > Oh you need to see the ellipse-is-a-conic-section proof again? Here you go!
> >
> >
> > Some preliminaries:
> >
> > Top view of the conic section and depiction of the coordinate system used
> > in the proof:
> >
> > ^ x
> > |
> > -+- <= x=h
> > .' | `.
> > . | .
> > | | |
> > ' | '
> > `. | .'
> > y <----------+ <= x=0
> >
> > Cone (side view):
> > .
> > /|\
> > / | \
> > /b | \
> > /---+---' <= x = h
> > / |' \
> > / ' | \
> > / ' | \
> > x = 0 => '-------+-------\
> > / a | \
> >
> > Proof:
> >
> > r(x) = a - ((a-b)/h)x and d(x) = a - ((a+b)/h)x, hence
> >
> > y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2.
> >
> > Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1 ...equation of an ellipse
> >
> > qed
> >
>
>
> The New York Times, A.G. Sulzberger would rather publish that than ever publish AP's correction of Ancient Greek mathematics, that since the slant cut of Cylinder is ellipse, it is impossible for slant cut of cone be an ellipse, but rather an Oval instead. For a cylinder has 2 axes of symmetry same as ellipse, but cone has 1 axis of symmetry same as Oval.
> The New York Times maintains its hatred and refusal to ever print on AP, as they did in 1994 when NYT along with Dartmouth College suspended posting account of AP for 1 month, because AP was doing science in Usenet. The NYT hates the guts of AP and all the science AP achieves and so there is a directive at NYT, to never publish the name "Archimedes Plutonium" in the NYT, no matter if even AP becomes president of NASA or National Science Foundation. Or, even if every Science magazine publishes AP, the The New York Times will not. No wonder people become anti-semitic when a newspaper invites anti-semitism.
> A.G.Sulzberger, Joseph Kahn, Marc Lacey, Carolyn Ryan, Kathleen Kingsbury, why not publish the truth of science-- slant cut of cone is never a ellipse, always a oval. Or is hatred your game more than truth and reality of the world you live in.
>
>
> 1) Picture diagram of problem, showing oval for cone, and ellipse for cylinder.
>
>
>
> 1. looking down from cone apex
> bottom
> ______
> ,'"^ "`.
> / \
> | | slant cut into cone is oval, never ellipse
> \ /
> '. .'
> " '
> top
> 2.
> /\
>
> / \
>
> / \
>
>
> / \
>
> / \
>
> / \
> 3.
> __
> .-' `-.
> .' `.
> / \
> ; ; B
> | |
> ; ;
> \ /
> `. .'
> `-._____.-'
>
> 4.
>
> | |
> | |
> | |
> | |
> | |
> | |
> | | slant cut of cylinder is always a ellipse, never a oval due to the fact
> | | a cylinder has two axes of symmetry, while a cone has just 1 axis
> | | of symmetry
> | |
> | |
> | |
>
>
>
> Proofs ellipse is never a conic, always a cylinder section by
> Archimedes Plutonium
> --------------------
> AP's proof the ellipse is never a Conic Section, always a Cylinder section, and how the proof works
>
> Let us analyze AP's Proof
>
> On Friday, September 14, 2018 at 6:57:36 PM UTC-5, Archimedes Plutonium wrote:
>
>
> Array:: Analytic Geometry proof that Cylinder section= Ellipse//Conic
> section = Oval, never ellipse
>
> Array proof simply means we cut out all details and get to the very heart of the proof. No sideshow dressing, just the heart of the proof.
>
> ARRAY, Analytic Geometry Proof, Cylinder Section is a Ellipse::
>
>
> E
> __
> .-' `-.
> .' `.
> / \
> ; ;
> | G c | H
> ; ;
> \ /
> `. .'
> `-. _____ .-'
> F
>
>
>
> Alright, focus on the distance from c to F in the cone-cut compared to the distance from c to E
>
> In a Cylinder cut, those two distances are the same because a cylinder has two axes of symmetry.
>
> The side view of a cylinder is this
>
> | |
> | |
> | |
>
> That allows cE to be the same distance as cF
>
>
> But the side view of the cone is
>
> /\E
> /c \
> F / \
>
>
> The distance c to E is shorter because the slant of the side walls of the cone are in the direction of shortening cE, whereas the slant opposite c in cF makes that distance larger than cE.
>
>
> > 3rd published book
> >
> > AP's Proof-Ellipse was never a Conic Section // Math proof series, book 1 Kindle Edition
> > by Archimedes Plutonium (Author)
> >
> > Ever since Ancient Greek Times it was thought the slant cut into a cone is the ellipse. That was false. For the slant cut in every cone is a Oval, never an Ellipse. This book is a proof that the slant cut is a oval, never the ellipse. A slant cut into the Cylinder is in fact a ellipse, but never in a cone.
> >
> > Product details
> > • ASIN : B07PLSDQWC
> > • Publication date : March 11, 2019
> > • Language : English
> > • File size : 1621 KB
> > • Text-to-Speech : Enabled
> > • Enhanced typesetting : Enabled
> > • X-Ray : Not Enabled
> > • Word Wise : Not Enabled
> > • Print length : 20 pages
> > • Lending : Enabled
> > •
> > •
> >
> > Proofs Ellipse is never a Conic section, always a Cylinder section and a Well Defined Oval definition//Student teaches professor series, book 5 Kindle Edition
> > by Archimedes Plutonium (Author)
> >
> > Last revision was 14May2022. This is AP's 68th published book of science.
> >
> > Preface: A similar book on single cone cut is a oval, never a ellipse was published in 11Mar2019 as AP's 3rd published book, but Amazon Kindle converted it to pdf file, and since then, I was never able to edit this pdf file, and decided rather than struggle and waste time, decided to leave it frozen as is in pdf format. Any new news or edition of ellipse is never a conic in single cone is now done in this book. The last thing a scientist wants to do is wade and waddle through format, when all a scientist ever wants to do is science itself. So all my new news and thoughts of Conic Sections is carried out in this 68th book of AP. And believe you me, I have plenty of new news.
> >
> > In the course of 2019 through 2022, I have had to explain this proof often on Usenet, sci.math and sci.physics. And one thing that constant explaining does for a mind of science, is reduce the proof to its stripped down minimum format, to bare bones skeleton proof. I can prove the slant cut in single cone is a Oval, never the ellipse in just a one sentence proof. Proof-- A single cone and oval have just one axis of symmetry, while a ellipse requires 2 axes of symmetry, hence slant cut is always a oval, never the ellipse.
> >
> > Product details
> > • ASIN : B081TWQ1G6
> > • Publication date : November 21, 2019
> > • Language : English
> > • File size : 827 KB
> > • Simultaneous device usage : Unlimited
> > • Text-to-Speech : Enabled
> > • Screen Reader : Supported
> > • Enhanced typesetting : Enabled
> > • X-Ray : Not Enabled
> > • Word Wise : Not Enabled
> > • Print length : 51 pages
> > • Lending : Enabled
> >
> > #12-2, 11th published book
> >
> > World's First Geometry Proof of Fundamental Theorem of Calculus// Math proof series, book 2 Kindle Edition
> > by Archimedes Plutonium (Author)
> >
> > Last revision was 15Dec2021. This is AP's 11th published book of science.
> > Preface:
> > Actually my title is too modest, for the proof that lies within this book makes it the World's First Valid Proof of Fundamental Theorem of Calculus, for in my modesty, I just wanted to emphasis that calculus was geometry and needed a geometry proof. Not being modest, there has never been a valid proof of FTC until AP's 2015 proof. This also implies that only a geometry proof of FTC constitutes a valid proof of FTC.
> >
> > Calculus needs a geometry proof of Fundamental Theorem of Calculus. But none could ever be obtained in Old Math so long as they had a huge mass of mistakes, errors, fakes and con-artist trickery such as the "limit analysis". And very surprising that most math professors cannot tell the difference between a "proving something" and that of "analyzing something". As if an analysis is the same as a proof. We often analyze various things each and every day, but few if none of us consider a analysis as a proof. Yet that is what happened in the science of mathematics where they took an analysis and elevated it to the stature of being a proof, when it was never a proof.
> >
> > To give a Geometry Proof of Fundamental Theorem of Calculus requires math be cleaned-up and cleaned-out of most of math's mistakes and errors. So in a sense, a Geometry FTC proof is a exercise in Consistency of all of Mathematics. In order to prove a FTC geometry proof, requires throwing out the error filled mess of Old Math. Can the Reals be the true numbers of mathematics if the Reals cannot deliver a Geometry proof of FTC? Can the functions that are not polynomial functions allow us to give a Geometry proof of FTC? Can a Coordinate System in 2D have 4 quadrants and still give a Geometry proof of FTC? Can a equation of mathematics with a number that is _not a positive decimal Grid Number_ all alone on the right side of the equation, at all times, allow us to give a Geometry proof of the FTC?
> >
> > Cover Picture: Is my hand written, one page geometry proof of the Fundamental Theorem of Calculus, the world's first geometry proof of FTC, 2013-2015, by AP.
> >
> >
> > Product details
> > ASIN : B07PQTNHMY
> > Publication date : March 14, 2019
> > Language : English
> > File size : 1309 KB
> > Text-to-Speech : Enabled
> > Screen Reader : Supported
> > Enhanced typesetting : Enabled
> > X-Ray : Not Enabled
> > Word Wise : Not Enabled
> > Print length : 154 pages
> > Lending : Enabled
> > Amazon Best Sellers Rank: #128,729 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
> > #2 in 45-Minute Science & Math Short Reads
> > #134 in Calculus (Books)
> > #20 in Calculus (Kindle Store)
>
>
>
> > Hi Marshall, you can figure this out yourself, and not have to ask others for the truth of Conics. Hold a Cylinder and Cone next to you and imagine a slant cut in both. In your mind's eye you can see the slant cut in Cylinder is symmetrical in the entrance angle as well as the exit angle and symmetrical to the center axis. A cylinder slant cut is Ellipse. But notice the Cone is having only 1 axis of symmetry-- a vertical cut from apex to base of cone meeting the base at a perpendicular angle. You cut a cone anywhere along its center line the two cut parts are not equal to each other. You cut the cylinder at its center line and you have two new cylinders, shorter than the original but identical and thus symmetrical.
> >
> > The Cylinder has 2 axes of symmetry, the Cone just 1. The slant cut of cylinder gives only a ellipse. The slant cut of Cone cannot deliver a ellipse for the Cone has just one axis of symmetry.
> >
> >
> > Kibo on Joseph Kahn of The New York Times rather publish kibo's nonsense of conic than AP's truth-- Slant cut of Cylinder is ellipse, therefore, slant cut of cone is Oval, never ellipse.
> >
> >
> > Kibo Parry M wants The New York Times to publish his nonsense for which AP wants the New York State Board of Education to pull the license of science publishing from _The New York Times_ for their newspaper has become nothing but a propaganda billboard for Einstein, and mocking all scientists working in physics.
> >
> > The New York Times has it correct on Darwin Evolution, but when it comes to physics, they use their newspaper to make Einstein a semigod, and trash all physicists working in physics, because the NYT starts almost every physics report, starts it out as saying..... And Einstein did this.... and ending the report with .... this proves Einstein. Some magazines have become almost as bad as NYT in physics reporting.
> >
> > Kibo Parry M. wrote:
> >
> > > Oh you need to see the ellipse-is-a-conic-section proof again? Here you go!
> > >
> > >
> > > Some preliminaries:
> > >
> > > Top view of the conic section and depiction of the coordinate system used
> > > in the proof:
> > >
> > > ^ x
> > > |
> > > -+- <= x=h
> > > .' | `.
> > > . | .
> > > | | |
> > > ' | '
> > > `. | .'
> > > y <----------+ <= x=0
> > >
> > > Cone (side view):
> > > .
> > > /|\
> > > / | \
> > > /b | \
> > > /---+---' <= x = h
> > > / |' \
> > > / ' | \
> > > / ' | \
> > > x = 0 => '-------+-------\
> > > / a | \
> > >
> > > Proof:
> > >
> > > r(x) = a - ((a-b)/h)x and d(x) = a - ((a+b)/h)x, hence
> > >
> > > y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2.
> > >
> > > Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1 ...equation of an ellipse
> > >
> > > qed
> > >
> >
> >
> > The New York Times, A.G. Sulzberger would rather publish that than ever publish AP's correction of Ancient Greek mathematics, that since the slant cut of Cylinder is ellipse, it is impossible for slant cut of cone be an ellipse, but rather an Oval instead. For a cylinder has 2 axes of symmetry same as ellipse, but cone has 1 axis of symmetry same as Oval.
> >
> > The New York Times maintains its hatred curse on AP, as they did in 1994 when NYT along with Dartmouth College suspended posting account of AP for 1 month, because AP was doing science in Usenet. The NYT hates the guts of AP and all the science AP achieves and so there is a directive at NYT, to never publish the name "Archimedes Plutonium" in the NYT, no matter if even AP becomes president of NASA or National Science Foundation.
> >
> > A.G.Sulzberger, Joseph Kahn, Marc Lacey, Carolyn Ryan, Kathleen Kingsbury, why not publish the truth of science-- slant cut of cone is never a ellipse, always a oval. Or is hatred your game more than truth and reality of the world you live in.
> >
> >
> > 1) Picture diagram of problem, showing oval for cone, and ellipse for cylinder.
> >
> >
> >
> > 1. looking down from cone apex
> > bottom
> > ______
> > ,'"^ "`.
> > / \
> > | | slant cut into cone is oval, never ellipse
> > \ /
> > '. .'
> > " '
> > top
> > 2.
> > /\
> >
> > / \
> >
> > / \
> >
> >
> > / \
> >
> > / \
> >
> > / \
> > 3.
> > __
> > .-' `-.
> > .' `.
> > / \
> > ; ; B
> > | |
> > ; ;
> > \ /
> > `. .'
> > `-._____.-'
> >
> > 4.
> >
> > | |
> > | |
> > | |
> > | |
> > | |
> > | |
> > | | slant cut of cylinder is always a ellipse, never a oval due to the fact
> > | | a cylinder has two axes of symmetry, while a cone has just 1 axis
> > | | of symmetry
> > | |
> > | |
> > | |
> >
> >
> >
> > Proofs ellipse is never a conic, always a cylinder section by
> > Archimedes Plutonium
> > --------------------
> > AP's proof the ellipse is never a Conic Section, always a Cylinder section, and how the proof works
> >
> > Let us analyze AP's Proof
> >
> > On Friday, September 14, 2018 at 6:57:36 PM UTC-5, Archimedes Plutonium wrote:
> >
> >
> > Array:: Analytic Geometry proof that Cylinder section= Ellipse//Conic
> > section = Oval, never ellipse
> >
> > Array proof simply means we cut out all details and get to the very heart of the proof. No sideshow dressing, just the heart of the proof.
> >
> > ARRAY, Analytic Geometry Proof, Cylinder Section is a Ellipse::
> >
> >
> > E
> > __
> > .-' `-.
> > .' `.
> > / \
> > ; ;
> > | G c | H
> > ; ;
> > \ /
> > `. .'
> > `-. _____ .-'
> > F
> >
> >
> >
> > Alright, focus on the distance from c to F in the cone-cut compared to the distance from c to E
> >
> > In a Cylinder cut, those two distances are the same because a cylinder has two axes of symmetry.
> >
> > The side view of a cylinder is this
> >
> > | |
> > | |
> > | |
> >
> > That allows cE to be the same distance as cF
> >
> >
> > But the side view of the cone is
> >
> > /\E
> > /c \
> > F / \
> >
> >
> > The distance c to E is shorter because the slant of the side walls of the cone are in the direction of shortening cE, whereas the slant opposite c in cF makes that distance larger than cE.
> >
> >
> > Kibo Parry M. the 30 year nonstop stalker fuckdog of sci.math & sci.physics
> > > On Monday, October 3, 2022 at 2:18:53 AM UTC-5, Michael Moroney wrote:
> > > >"mindless fuckdog"
> > Kibo Parry M, I thought if you did not like a newspaper, you called it a "rag" not a fuckdog, is this the new street alley slang?
> > > >"Drag Queen of Science"
> > > > tarded:
> > > > Now that sure was quite dumb and stoopid of you, wasn't it! Surely
> > > > Dartmouth didn't want their good name sullied by such an anti-Semitic
> > > > remark. And they did the right thing.
> > > >
> > Kibo, why does the The New York Times tarnish the name of Dartmouth College by teaching slant cut is ellipse when in truth it is a oval, and that the Times science section still preaches Boole logic of 2 OR 1 = 3 with AND as subtraction, and that no-one at the Times ever realized calculus was geometry and needed a geometry proof of Fundamental Theorem of Calculus. Is that why, Kibo, you call the The New York Times the Drag Queen of Science??????
> >
> > > > But you didn't learn. You cannot learn. Later Dartmouth decided they
> > > > didn't want their good name sullied by your bad math and science, so
> > > > they warned you not to post such garbage from a
dartmouth.edu account.
> > > > But you didn't listen, so they fired your sorry ass for repeatedly doing
> > > > so. Dartmouth has an excellent reputation, and they need to protect it
> > > > from anti-Semitic posts and bad science.
> > > > I'd like to see ANY NYT article that ends with "praise be to Einstein--
> > > > semi god of physics". You just made that up.
> > > > Freedom of speech applies to the government, not a university or
> > > > newspaper. You could (and now do!) post your garbage freely.
> > > > Evidence of this? What, there isn't any? You made that up, too?
> > > > Since you are just a nobody of math and science, your "vote" doesn't
> > > > count for anything.
> > > > The ellipse formed from a plane intersecting a cone is not symmetric
> > > > around the axis of the cone, but is still symmetric in two dimensions
> > > > around a different line. Many have tried to tell you this, but you are
> > > > simply too dumb and stoopid to realize
> > >
> > > 3rd published book
> > >
> > > AP's Proof-Ellipse was never a Conic Section // Math proof series, book 1 Kindle Edition
> > > by Archimedes Plutonium (Author)
> > >
> > > Ever since Ancient Greek Times it was thought the slant cut into a cone is the ellipse. That was false. For the slant cut in every cone is a Oval, never an Ellipse. This book is a proof that the slant cut is a oval, never the ellipse. A slant cut into the Cylinder is in fact a ellipse, but never in a cone.
> > >
> > > Product details
> > > • ASIN : B07PLSDQWC
> > > • Publication date : March 11, 2019
> > > • Language : English
> > > • File size : 1621 KB
> > > • Text-to-Speech : Enabled
> > > • Enhanced typesetting : Enabled
> > > • X-Ray : Not Enabled
> > > • Word Wise : Not Enabled
> > > • Print length : 20 pages
> > > • Lending : Enabled
> > > •
> > > •
> > >
> > > Proofs Ellipse is never a Conic section, always a Cylinder section and a Well Defined Oval definition//Student teaches professor series, book 5 Kindle Edition
> > > by Archimedes Plutonium (Author)
> > >
> > > Last revision was 14May2022. This is AP's 68th published book of science.
> > >
> > > Preface: A similar book on single cone cut is a oval, never a ellipse was published in 11Mar2019 as AP's 3rd published book, but Amazon Kindle converted it to pdf file, and since then, I was never able to edit this pdf file, and decided rather than struggle and waste time, decided to leave it frozen as is in pdf format. Any new news or edition of ellipse is never a conic in single cone is now done in this book. The last thing a scientist wants to do is wade and waddle through format, when all a scientist ever wants to do is science itself. So all my new news and thoughts of Conic Sections is carried out in this 68th book of AP. And believe you me, I have plenty of new news.
> > >
> > > In the course of 2019 through 2022, I have had to explain this proof often on Usenet, sci.math and sci.physics. And one thing that constant explaining does for a mind of science, is reduce the proof to its stripped down minimum format, to bare bones skeleton proof. I can prove the slant cut in single cone is a Oval, never the ellipse in just a one sentence proof. Proof-- A single cone and oval have just one axis of symmetry, while a ellipse requires 2 axes of symmetry, hence slant cut is always a oval, never the ellipse.
> > >
> > > Product details
> > > • ASIN : B081TWQ1G6
> > > • Publication date : November 21, 2019
> > > • Language : English
> > > • File size : 827 KB
> > > • Simultaneous device usage : Unlimited
> > > • Text-to-Speech : Enabled
> > > • Screen Reader : Supported
> > > • Enhanced typesetting : Enabled
> > > • X-Ray : Not Enabled
> > > • Word Wise : Not Enabled
> > > • Print length : 51 pages
> > > • Lending : Enabled
> > >
> > > #12-2, 11th published book
> > >
> > > World's First Geometry Proof of Fundamental Theorem of Calculus// Math proof series, book 2 Kindle Edition
> > > by Archimedes Plutonium (Author)
> > >
> > > Last revision was 15Dec2021. This is AP's 11th published book of science.
> > > Preface:
> > > Actually my title is too modest, for the proof that lies within this book makes it the World's First Valid Proof of Fundamental Theorem of Calculus, for in my modesty, I just wanted to emphasis that calculus was geometry and needed a geometry proof. Not being modest, there has never been a valid proof of FTC until AP's 2015 proof. This also implies that only a geometry proof of FTC constitutes a valid proof of FTC.
> > >
> > > Calculus needs a geometry proof of Fundamental Theorem of Calculus. But none could ever be obtained in Old Math so long as they had a huge mass of mistakes, errors, fakes and con-artist trickery such as the "limit analysis". And very surprising that most math professors cannot tell the difference between a "proving something" and that of "analyzing something". As if an analysis is the same as a proof. We often analyze various things each and every day, but few if none of us consider a analysis as a proof. Yet that is what happened in the science of mathematics where they took an analysis and elevated it to the stature of being a proof, when it was never a proof.
> > >
> > > To give a Geometry Proof of Fundamental Theorem of Calculus requires math be cleaned-up and cleaned-out of most of math's mistakes and errors. So in a sense, a Geometry FTC proof is a exercise in Consistency of all of Mathematics. In order to prove a FTC geometry proof, requires throwing out the error filled mess of Old Math. Can the Reals be the true numbers of mathematics if the Reals cannot deliver a Geometry proof of FTC? Can the functions that are not polynomial functions allow us to give a Geometry proof of FTC? Can a Coordinate System in 2D have 4 quadrants and still give a Geometry proof of FTC? Can a equation of mathematics with a number that is _not a positive decimal Grid Number_ all alone on the right side of the equation, at all times, allow us to give a Geometry proof of the FTC?
> > >
> > > Cover Picture: Is my hand written, one page geometry proof of the Fundamental Theorem of Calculus, the world's first geometry proof of FTC, 2013-2015, by AP.
> > >
> > >
> > > Product details
> > > ASIN : B07PQTNHMY
> > > Publication date : March 14, 2019
> > > Language : English
> > > File size : 1309 KB
> > > Text-to-Speech : Enabled
> > > Screen Reader : Supported
> > > Enhanced typesetting : Enabled
> > > X-Ray : Not Enabled
> > > Word Wise : Not Enabled
> > > Print length : 154 pages
> > > Lending : Enabled
> > > Amazon Best Sellers Rank: #128,729 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
> > > #2 in 45-Minute Science & Math Short Reads
> > > #134 in Calculus (Books)
> > > #20 in Calculus (Kindle Store)