Friday, December 23, 2011

Menelaus of Alexandria

Some Notes on Menelaus.
His work on spherical geometry furthers into Non Euclidian Geometry.  Geodesic, a straight line is a small segment of a large circle who has a center.  Modern aviation, airplanes use this knowledge to fly.  This is how commercial airplanes fly.  (I learned this fact from a book call 'Is God a Mathematician'? 
Mathematician began to see fault in Euclid's geometry because of his proposition for Parallel line was long and clumsy.  In spherical geometry, the parallel lines do not extend for ever in parallels.  They come to a point.  This is why there is a distinction between spherical geometry and plane geometry.  Look at the globe.  The meridian comes to a point at the North and South Poles.

Michael Schultheis

.froelick gallery bio

Gold Sail of Menelaus

"As humans, we have a fascinating capacity to visualize mathematics. Our analytical concepts can be visualized, written down in notation, and then shared as a logical and visual language for others. These creative issues from our minds are analytical expressions, and the visual process of rendering them is analytical expressionism. This is the world I explore while painting." - Michael Schultheis

Likening his canvas to a chalkboard, Michael Schultheis creates paintings consisting of layers of mathematical notations and drawings that describe the form and motion of three-dimensional geometric shapes.

Conics of Apollonius
Harmonic Oscillations
Harmonic Quadrants
Parabolic Symmetries
Conic Symmetries

Tuesday, June 14, 2011

Fedrico Saenz Recio

federico saenz recio
Acrylic graphite pastel on canvas


This looks like a Richard Sierra work.  I like the balance.  The vertices and the x y axis.  The plane and vector geometry in this work.  I like the equilibrium.


Timber-frame bartizan, as seen in Strasbourg (late XIV - XV century).

From Dictionnaire raisonné de l’architecture française du XIe au XVIe siècle (Reasoned dictionary of French architecture from the XIth to the XVIth century), vol. 7 by E. Viollet-Le-Duc. Paris, 1875.


Friday, March 4, 2011

Thursday, February 10, 2011

Wednesday, February 9, 2011

Heat of Hydration

for aqueous ionic solutions,
• Solvent attractive forces and Mixing forces are
combined into a term called the heat of hydration
∆Hsolvent + ∆Hmix = ∆hhydration
 attractive forces in water = H-bonds
 attractive forces between ion and water = ion-dipole
 ∆Hhydration = heat released when 1 mole of gaseous ions
dissolves in water
 ∆Hsolute = - ∆Hlatic

Heat of Hydration
The term ‘heat of hydration’ is applied to the heat generated by the chemical reactions, which occur in setting concrete between the water and cement. The heat causes the concrete first to expand and then to shrink as it cools. If there is a temperature gradient across the concrete or the concrete is otherwise restrained, cracking may occur. The two factors, which are most likely to cause excessive generation of heat, are very large pours and high cement contents. Some specifications set a maximum cement content in order to limit the generation of heat.

Thursday, February 3, 2011

Tuesday, February 1, 2011

Super Steam Heat can burn paper

Decomposition of Hydrogen Peroxide

This is a set up for Decomposition of Hydrogen Peroxide. H2O2. The yellow hexagon shape you see is an inverted graduated cylinder. It is filled with water. You may have played with a similar set up as a kid in a bath tub. If you invert a container in water, it does not lose any water in the cylinder. A syringe is filled with 3 ml of KI (Potassium Iodine. The tube is then inserted into the cylinder. The Erlenmeyer flask has a rubber stopper so it is air tight. One the syringe is injected into the flask that is filled with air, the reaction cause a release of gas which then travels through the tube and into the graduated cylinder. The gas displaces the water from the cylinder into the container.