Dr. Ajay Kumar PHD (he/him)

Artin Algebra link: https://www.amazon.com/Algebra-Classic-Classics-Advanced-Mathematics/dp/0134689607/ Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

GeoGebra making conic sections: https://www.geogebra.org/m/jaaqpebm Thumbnail GeoGebra: https://www.geogebra.org/m/rdzkpvtr Book download: https://archive.org/details/treatiseonconics00apolrich Apollonius playlist: https://odysee.com/@DoctorAjayKumar/conics Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Assume: - BA = ED - AC = DF - FE < CB Claim: EDF < BAC Proof method: contradiction Suppose claim is false. Then BAC <= EDF. Then either BAC == EDF or BAC < EDF. We proceed by falsifying both branches. Claim: BAC != EDF. Proof method: contradiction. Assume BAC == EDF. Then by side-angle-side congruence, CB = FE, which we assumed to be false. Claim: BAC !< EDF. Proof method: contradiction. Assume BAC < EDF. Then by the previous proposition, BC < EF, which we assumed to be false. We have eliminated both branches of EDF !< BAC. Therefore EDF < BAC. Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI25.html GeoGebra (same as last video): https://www.geogebra.org/m/xbafrm3s Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Thumbnail GeoGebra: https://www.geogebra.org/m/rdzkpvtr Book download: https://archive.org/details/treatiseonconics00apolrich Apollonius playlist: https://odysee.com/@DoctorAjayKumar/conics Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI24.html GeoGebra: https://www.geogebra.org/m/xbafrm3s Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Types of Conics GeoGebra: https://www.geogebra.org/m/qykzuejq Euclid Book 1 Prop 22 GeoGebra: https://www.geogebra.org/m/a7f3g6hq Euclid Book 1 Prop 22 video: https://odysee.com/@DoctorAjayKumar:e/ee-book1-prop22:a Euclid Book 1 Prop 22 website: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI22.html Thumbnail GeoGebra: https://www.geogebra.org/m/rdzkpvtr Book download: https://archive.org/details/treatiseonconics00apolrich Apollonius playlist: https://odysee.com/@DoctorAjayKumar/conics Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI23.html Final GeoGebra: https://www.geogebra.org/m/t2x2vy3b GeoGebra prior branch point: https://www.geogebra.org/m/zbaxh7nq Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Cones GeoGebra: https://www.geogebra.org/m/ru6tevem Thumbnail GeoGebra: https://www.geogebra.org/m/rdzkpvtr Book download: https://archive.org/details/treatiseonconics00apolrich Apollonius playlist: https://odysee.com/@DoctorAjayKumar/conics Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Craig Cannon showed up while I was reading, and we had a fascinating conversation, so I kept it in 00:00:00 Artin 3.2 00:55:00 A wild Cannon appears 00:57:00 The SHOCKING truth about Ukraine 01:01:00 What is the usual situation? 01:06:35 What is the interpretation of the SHOCKING truth? 01:15:00 What is the US military up to? 01:19:00 Is this good or bad? 01:23:55 Are private military contractors good or bad? 01:26:50 Issues with military conscription 01:28:28 The US government breaking public faith Artin Algebra link: https://www.amazon.com/Algebra-Classic-Classics-Advanced-Mathematics/dp/0134689607/ Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

Side argument: BE < BA + AE BE + EC < BA + AC CD < CE + ED CD + DB < CE + EB = BE + EC CD + DB < BA + AC Angle argument: CED < BDC CEB < BAC CED = CEB CED < BAC Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI21.html GeoGebra: https://www.geogebra.org/m/nragpbsh Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI22.html GeoGebra: https://www.geogebra.org/m/a7f3g6hq Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Thumbnail GeoGebra: https://www.geogebra.org/m/rdzkpvtr Book download: https://archive.org/details/treatiseonconics00apolrich Apollonius playlist: https://odysee.com/@DoctorAjayKumar/conics Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

The correct Heron argument: 1. AE + EB' <= AP + PB' by the triangle inequality; 2. EB' = EB and PB' = PB by construction; 3. AE + EB <= AP + PB by substitution. QED. Element GeoGebra: https://www.geogebra.org/m/mwwm78ah Heron GeoGebra: https://www.geogebra.org/m/cpqqj6md Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI20.html Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Focus directrix: https://www.geogebra.org/m/rp574wzk FQA 4: https://zxq9.com/archives/2201 FQA: https://zxq9.com/archives/category/foundations-of-qanal SIQA 9.1: https://rumble.com/vougyu-niffers-wokism-and-craig-cannons-girthy-hose-problem-siqa-9.1.html SIQA 9.2: https://rumble.com/vovq9o-craig-cannon-reacts-to-revelations-16-siqa-9.2.html SIQA 9.5: https://rumble.com/vp5mwk-the-ladies-love-qanal-siqa-9.5.html SIQA 10.3: https://rumble.com/vphm3w-the-founders-record-breaking-discovery-about-quaternions-siqa-10.3.html Thumbnail GeoGebra: https://www.geogebra.org/m/rdzkpvtr Book download: https://archive.org/details/treatiseonconics00apolrich Apollonius playlist: https://odysee.com/@DoctorAjayKumar/conics Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

FQA 4: https://zxq9.com/archives/2201 FQA: https://zxq9.com/archives/category/foundations-of-qanal SIQA 9.1: https://rumble.com/vougyu-niffers-wokism-and-craig-cannons-girthy-hose-problem-siqa-9.1.html SIQA 9.2: https://rumble.com/vovq9o-craig-cannon-reacts-to-revelations-16-siqa-9.2.html SIQA 9.5: https://rumble.com/vp5mwk-the-ladies-love-qanal-siqa-9.5.html SIQA 10.3: https://rumble.com/vphm3w-the-founders-record-breaking-discovery-about-quaternions-siqa-10.3.html Artin Algebra link: https://www.amazon.com/Algebra-Classic-Classics-Advanced-Mathematics/dp/0134689607/ Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee (main): https://odysee.com/@DoctorAjayKumar - Odysee (podcast): https://odysee.com/@BigBlackCannon - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

00:01:15 Table of Contents 00:05:30 How to make an ellipse 00:09:08 What is a conic 00:14:00 Flat earth 00:21:25 Twitter 00:23:00 Difficult time understanding BS and reals are nulls 00:29:45 Archimedes vs. Apollonius 00:31:30 Discovery of the Conics 00:33:00 Ptolemy 00:38:40 Incidental, implicit, and accidental complexity 01:06:20 Greek math versus European math 01:21:20 Why I'm skimming 01:23:20 The point of this chapter 01:24:20 Plato was the Klaus Schwab of Ancient Greece 01:31:15 Conclusion Thumbnail GeoGebra: https://www.geogebra.org/m/rdzkpvtr Ellipse thumbtack geogebra: https://www.geogebra.org/m/ntfguyru hyperbola thing geogebra: https://www.geogebra.org/m/m7pw6pkf zx sql nulls: https://stackoverflow.com/questions/386040/whats-wrong-with-nullable-columns-in-composite-primary-keys/16124563#16124563 Book download: https://archive.org/details/treatiseonconics00apolrich Apollonius playlist: https://odysee.com/@DoctorAjayKumar/conics Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI19.html GeoGebra: https://www.geogebra.org/m/jw89rydp Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Thumbnail GeoGebra: https://www.geogebra.org/m/rdzkpvtr Book download: https://archive.org/details/treatiseonconics00apolrich Apollonius playlist: https://odysee.com/@DoctorAjayKumar/conics Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI18.html GeoGebra: https://www.geogebra.org/m/jf6kyejq Polymathy video: https://youtu.be/Evx-3RkhtIc Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI17.html Thumbnail GeoGebra: https://www.geogebra.org/m/wrprkdma Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

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Book 1 Prop 15: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI15.html Thumbnail GeoGebra: https://www.geogebra.org/m/hhqcu9ec Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

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Geogebra B1P12: https://www.geogebra.org/m/vnb9ngry Geogebra Pole-to-Polar: https://www.geogebra.org/m/ts6fzayw Book 1 Prop 12: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI12.html Entropism article: https://zxq9.com/archives/2176 Shocking truth about determinants: https://zxq9.com/archives/2187 Foundations of QAnal: https://zxq9.com/archives/category/foundations-of-qanal Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/