Dr. Ajay Kumar PHD (he/him)

Check out Aegora: https://aegora.jp/ First two hours or so are a good recap discussion about Euclid so far, and a preview of where we're going. The third hour or so is an interesting, more general discussion, the locus of which is the "measuring-your-goals" problem, and how so many problems in the managerialist economy are downstream of this simple epistemic mistake. Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI44.html GeoGebra: (none yet) Discussion references: Book 3 Prop 35: https://mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII35.html Book 3 Prop 35 lazy Geogebra: https://www.geogebra.org/m/w7nwsccg MLB the Show glitches: https://youtube.com/playlist?list=PLeV-0tFYTT3EApfV0CEpY35wcYfQR7pH7 Ben Sparks math lover video: https://youtu.be/FFftmWSzgmk 00:00:00 Introduction 00:03:34 Back, reading proposition 00:20:04 The Roman Rapist Mindset, and Euclid versus FQA 00:24:24 The visual Euclidean algorithm 00:26:54 Rape of the Sabine Women 00:28:44 Craig speaks, shape rotators versus wordcels 00:31:24 The water glass thing 00:34:04 Craig ate breakfast today so he's not hungry, space walk 00:39:04 the math discord and my transition story 00:42:54 back to euclid 00:46:19 Roman therapy 00:48:14 No straight guy would be an effective OnlyFans whore pimp, extractive versus productive 00:55:54 Elon Musk is the ideal male 01:01:44 Chord product theorem (Book 3 Prop 35), future plans, and being rigorlicious 01:16:54 If the universe is a simulation, it's programmed by pajeets; MLB The Show; Wildberger meta-numbers 01:24:34 Baudrillard was right and mathematics is wrong 01:30:04 Continuing with Euclid 01:37:34 Euclid's broken parallel copy procedure; arrisu to bobbu; Euclid's original sin; iterated function systems 02:14:34 Arch appears; why Arch loves The Founder; Razib Khan 02:20:59 Is grooming good or bad? 02:22:04 Academia is the worst possible setting for creative work 02:25:34 The cup of water thing; Did Arch eat breakfast?; Craig Cannon on Gungans; MAID 02:40:34 French perfectionist culture; show your imperfect work 02:51:34 The measuring-your-goals problem; Daddy issues 03:08:34 Money is too cheap right now; crypto 03:15:34 Arch out 03:18:34 Aegora; my plan when I become dictator 03:22:04 Putin is demilitarizing the west 03:31:34 Fake sign language interpreters Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/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/ Where to find Cannon: BitChute: https://www.bitchute.com/zxq9/ Gab: https://gab.com/zxq9 GitLab: https://gitlab.com/zxq9 Minds: https://www.minds.com/zxq9/ Odysee (main): https://odysee.com/@zxq9 Odysee (podcast): https://odysee.com/@BigBlackCannon Rumble (main): https://rumble.com/c/c-619215 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/zxq9_nobobs Website: http://zxq9.com/

An absolute marathon! Took me 2 and a half months to do the video. Worth the wait. Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI43.html GeoGebra (wrong): https://www.geogebra.org/m/gcybvqrb Geogebra (correct): https://www.geogebra.org/m/xx4qgvxf Signal price asymmetry: https://www.bitchute.com/video/4TDs4DDP8gyu/ 00:00:00 Reading the proposition and first attempt (incorrect geogebra) 00:26:22 Reassembling context 00:55:14 Making Geogebra Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/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/

A usefully different way to think about the abortion issue 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/propI42.html GeoGebra: https://www.geogebra.org/m/prswrhtr Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/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/

Claim: it is not possible for there to exist two triangles with equal area and equal bases but differing heights. Argument: 1. Let tri(A, B, C) and tri(D, B, C) be two triangles with equal area. (i.e. equal bases) 2. Our goal is to show the triangles have the same height. 3. Suppose join(A, D) is not parallel to join(B, C) (i.e. the triangles have equal area and equal bases but different heights). Our goal is to show this is impossible. 4. Construct E incident with join(B, D) such that join(A, E) is parallel to join(B, C). 5. Because tri(A, B, C) and tri(E, B, C) have the same base and the same height, they have the same area 6. However, either 6a. area(tri(E, B, C)) < area(tri(D, B, C)) [as shown in the diagram] 6b. area(tri(E, B, C)) > area(tri(D, B, C)) 7. We have proven 7a. area(tri(A, B, C)) =:= area(tri(D, B, C)) [by assumption] 7b. area(tri(A, B, C)) =:= area(tri(E, B, C)) [by construction] 7b. area(tri(D, B, C)) =/= area(tri(E, B, C)) [by construction] 8. Therefore it is not possible for there to exist two triangles with equal area and equal bases but differing heights. Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI39.html GeoGebra: https://www.geogebra.org/m/d3fpquss 05:00 Cat 21:30 GeoGebra Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/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/propI36.html GeoGebra: https://www.geogebra.org/m/r7g2yx5h 00:00 Introduction and Looking Forward 07:40 Prop 36 12:00 GeoGebra Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/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/

This one is simple conceptually but the GeoGebra took a long time! This is the most complicated GeoGebra by far and the process of making it brings up a lot of interesting ideas! Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI35.html GeoGebra: https://www.geogebra.org/m/vaxhvq7b 00:00:00 Begin Part 1 00:19:00 Guide 00:26:00 CanonHub: Relational versus Graphical Structures in Mathematics 00:29:09 Begin Part 2 00:30:00 Dicking around with kdenlive 00:33:38 Looking into the future on this series 00:35:45 Monitors and to-do-list 00:40:00 How I learn things 00:41:20 Starting the GeoGebra: parallel copy 01:22:45 Insight: signed area relates to which triangle to pick in parallel copy 01:28:45 Explanation about signed area insight 01:32:00 Parallel copy procedure done, working on proposition part 01:33:00 The point of the proposition 01:37:30 We're showing how geometric procedures can be implemented as queries 01:50:30 The layers of the hypothetical query language 02:00:00 Going through the logic of the proposition again 02:32:00 Done with GeoGebra, making it web-suitable 02:39:00 Making the thumbnail Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/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/propI34.html GeoGebra: https://www.geogebra.org/m/qhzrmy95 GeoGebra (determinant signed area): https://www.geogebra.org/m/r7ejeqte GeoGebra (bounding triangle): https://www.geogebra.org/m/euv7kpng Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/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/propI33.html GeoGebra (made during editing, not shown in video): https://www.geogebra.org/m/afqvkhzu Geogebra (previous prop): https://www.geogebra.org/m/mnmstjm7 GeoGebra (errata): https://www.geogebra.org/m/bvkxuab4 I slightly edited the Prop 32 GeoGebra during the thumbnail-making process and it turned out to be a good GeoGebra. Didn't record it, sorry. Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/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/

00:00 Preliminaries 01:00 Reading proposition 07:20 Cannon conversation 07:50 Predictions for the argument 09:30 I need a new monitor 12:00 Should I restart Bible playlist? 19:00 Oh no 21:00 Euclid was the George Floyd of Ancient Greece 24:00 The three philosophies of mathematics 27:00 My new blog (https://zxq9.com/archives/author/doctorajaykumar) 28:40 The point of QAnal and of this playlist 32:30 Back to work 33:55 When the argument clicks and thank you Norman Wildberger 35:35 Why the sum of interior angles in a convex polygon is 180*(number of sides) - 360 degrees 48:08 error that propagates but I catch later, sum should be 360 degrees 52:10 twice as many angles 54:00 Wildberger is clever 56:40 Finishing up 57:55 GeoGebra (1) B + O - G = 0 (2) B + O + P = 180 (3) P + G = 180 (2) - (1) = (3) (2) - (3) = (1) Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI32.html GeoGebra: https://www.geogebra.org/m/mnmstjm7 Wildberger algebraic topology: https://www.youtube.com/playlist?list=PL6763F57A61FE6FE8 Chromopill article: https://zxq9.com/archives/2067 articles: https://zxq9.com/archives/author/doctorajaykumar Cannon discussion: https://odysee.com/@BigBlackCannon:8/siqa-2022-05-06-projective-versus-euclidean:b 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/ Blog: https://zxq9.com/archives/author/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/

When are joins unique? Re-reading Codd section 2.1.3, trying to go through some examples and build some intuition about the uniqueness constraint of joins. WFC playlist: https://odysee.com/@DoctorAjayKumar/wfc 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/

Thought it would be a 40 minute video, it's over 2 hours and am only about halfway through the paper. Gotta say, it's a really good paper. Definitely worth the effort so far to understand it. It has already made me a better programmer WFC playlist: https://odysee.com/@DoctorAjayKumar/wfc 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/propI31.html GeoGebra naive: https://www.geogebra.org/m/sxruwhcs GeoGebra real: https://www.geogebra.org/m/bfgq5fej FQA 4: https://zxq9.com/archives/2201 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/

Code: "alternate angles equal to one another" -> Green = Pink "exterior angle" -> Red "exterior angle equal to the interior and opposite angle" -> Red = Pink "sum of the interior angles on the same side" -> Pink + Blue = 180° Arg 1: - Suppose Green > Pink - Then Green + Blue > Pink + Blue - Green + Blue = 2 right angles because line - Therefore Pink + Blue < 2 right angles - By the parallel postulate, the two lines AB and CD meet in the pink/blue direction - We assumed the lines were parallel - Contradiction - Therefore Green = Pink Arg 2: - Green = Red because vertical angles - Therefore Red = Pink - Red + Blue = Pink + Blue - Red + Blue = 2 right angles because straight line - Therefore Pink + Blue = 2 right angles Parallel postulate: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/post5.html Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI29.html GeoGebra: https://www.geogebra.org/m/squyduwp Universal Hyperbolic Geometry: https://youtube.com/playlist?list=PLIljB45xT85CN9oJ4gYkuSQQhAtpIucuI 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/

Eigenchris playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hrkmmq57lX8BV-o-YIOFsiG FQA Category: https://zxq9.com/archives/category/foundations-of-qanal FQA 4: https://zxq9.com/archives/2201 Math for Programmers: https://odysee.com/@DoctorAjayKumar/mfp 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/

Previously: SAS SSS Today: ASA AAS Doesn't work: ASS (determines two noncongruent triangles) AAA (determines a family of similar triangles) ASS Ambiguity GeoGebra: https://www.geogebra.org/m/dsuwaexf ASA GeoGebra: https://www.geogebra.org/m/r98wqtf3 AAS GeoGebra is an exercise for your mom Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI26.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/

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/

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/

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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/

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