Algebraic curves | Roulettes (curve) | Articles containing proofs

Cissoid of Diocles

In geometry, the cissoid of Diocles (from Ancient Greek κισσοειδής (kissoeidēs) 'ivy-shaped'; named for Diocles) is a cubic plane curve notable for the property that it can be used to construct two mean proportionals to a given ratio. In particular, it can be used to double a cube. It can be defined as the cissoid of a circle and a line tangent to it with respect to the point on the circle opposite to the point of tangency. In fact, the curve family of cissoids is named for this example and some authors refer to it simply as the cissoid. It has a single cusp at the pole, and is symmetric about the diameter of the circle which is the line of tangency of the cusp. The line is an asymptote. It is a member of the conchoid of de Sluze family of curves and in form it resembles a tractrix. (Wikipedia).

Cissoid of Diocles
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Cis and Trans Isomers

This organic chemistry video tutorial provides a basic introduction into cis and trans isomers using alkenes and cycloalkanes. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https:

From playlist New Organic Chemistry Playlist

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Classical curves | Differential Geometry 1 | NJ Wildberger

The first lecture of a beginner's course on Differential Geometry! Given by Prof N J Wildberger of the School of Mathematics and Statistics at UNSW. Differential geometry is the application of calculus and analytic geometry to the study of curves and surfaces, and has numerous applications

From playlist Differential Geometry

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A Level Chemistry Revision "Cis-Trans Isomers"

In this video, we look at a special class of isomers called cis-trans isomers. First we explore why we can see cis-trans isomers in alkenes and how this is due to the double bond. We then look at the features that a molecule must show in order to have cis-trans isomers. Finally, we look at

From playlist A Level Chemistry "Organic Chemistry"

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Dangers of Dihydrogen Monoxide - The Less You Know 523

To learn how you can help in the fight against Dihydrogen Monoxide check out http://www.stevespanglerscience.com/dhmo.html

From playlist April Fool's Day Favorites

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Dangers of Dihydrogen Monoxide - The Less You Know 632

To learn how you can help in the fight against Dihydrogen Monoxide check out http://www.stevespanglerscience.com/dhmo.html

From playlist April Fool's Day Favorites

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Dangers of Dihydrogen Monoxide - The Less You Know 297

To learn how you can help in the fight against Dihydrogen Monoxide check out http://www.stevespanglerscience.com/dhmo.html

From playlist April Fool's Day Favorites

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Making anisole

This was reuploaded because I made a mistake and claimed that there was a charge separation in methyl iodide due to electronegativity. ------------------------------------------- Today we are making some anisole! Anisole itself doesn't have many direct applications, and it's mostly used a

From playlist Odors

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Epoxidation of Alkenes - DMDO, mCPBA, & NaOCl (IOC 26)

In this episode, I discuss the epoxidation of electron-rich and electron-poor olefins, using peracids, DMDO, hydrogen peroxide, and sodium hypochlorite (NaOCl). *Note: for some reason, I didn't manage to pronounce MMPP correctly; it's full name is magnesium monoperoxyphthalate. *WARNING*

From playlist Organic Chemistry Lectures

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Dangers of Dihydrogen Monoxide - The Less You Know 119

To learn how you can help in the fight against Dihydrogen Monoxide check out http://www.stevespanglerscience.com/dhmo.html

From playlist April Fool's Day Favorites

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Base Hydrolysis of Benzonitrile

CSUN Chemistry and Biochemistry department 2nd Semester Organic Chemistry Lab Base Hydrolysis of Benzonitrile Demonstration of why we cool reaction: https://www.youtube.com/watch?v=csWxoRBSUVk Ref: Chem 334 lab manual spring 2016 L.G. Wade, Organic Chem 8th made by Benjamin D Azmon

From playlist 334L OChem 2

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A tutorial: some differential geometry problems | Differential Geometry 21 | NJ Wildberger

Here we go over in some detail three problems that were assigned earlier in the course: the rational parametrization of the cissoid, the parametrization of a particular conic x^2-4xy-2y^2=3, and finding the evolute of the curve y=x^n for a general n. Note that in my diagram around 14:00

From playlist Differential Geometry

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IB Organic Chemistry Isomers Topic 10 HL 20.3 Stereoisomers cis trans EZ optical isomers

IB Organic Chemistry Isomers Topic 10 HL 20.3 Stereoisomers cis trans EZ optical isomers All the different types of isomers you need to know Full resources for topic 10 are found at: http://www.mrwengibchemistry.com 0:12 Isomer summary diagram 1:27 Cis trans isomers 3:00 E Z isomers 5:12

From playlist Topic 10/20 Organic chemistry

Related pages

Volume | Straightedge and compass construction | Synthetic geometry | Cubic plane curve | Geometric mean | Hippocrates of Chios | Zeno's paradoxes | Circle | Parabola | Doubling the cube | Diocles (mathematician) | Inverse curve | Conchoid of de Sluze | Cube | Cusp (singularity) | Family of curves | Pedal curve | Asymptote | Tractrix | Cissoid | Axiom | Ratio | Geometry | Isaac Newton | Proportionality (mathematics) | Tangent