§ TREATY RELATIONS WITH THE CHEROKEE INDIANS
V838 Monocerotis Light Echo
V838 Monocerotis a spectroscopic binary star system (a binary star evident from the Doppler effect) in the constellation Monoceros about 19,000 light years from the Sun. Identified as a luminous red novae, thought to have been [caused by the] merger of two stars within a triple system.
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Credit: NASA/ESA
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A light echo is a physical phenomenon caused by light reflected off surfaces distant from the source, and arriving at the observer with a delay relative to this distance. The phenomenon is analogous to an echo of sound
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In the case of V838 Monocerotis, the light echo produced was unprecedented and is well documented in images taken by the Hubble Space Telescope. While the photos appear to depict an expanding spherical shell of debris, they are actually formed by the illumination of an ever-expanding ellipsoid with the progenitor star at one focus and the observer at the other. Hence, despite appearances, the structures in these photos are actually concave toward the viewer.
Source Wikipedia: V838 Monocerotis, Light echo
Foundations (of Equivalent Exchange)
Newtonian mechanics is built on the foundation of Newton’s three laws of motion (cause and effect)
Which state:
1. An object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. Because inertia is the property of a body to resist any change in its state of rest or uniform motion, this law is also known as the law of inertia. In this sense, the mass of a body is a measure of its inertia and is called the inertial mass of the body.
2. If a net force acts on an object, it will cause an acceleration of that object. The relationship between an object’s mass m, its acceleration a and the applied force F is given by the vector equation
F = ma
3. When one object exerts a force on another object, the second object exerts an equal force in the opposite direction on the first object. Said another way, that for every action there is an equal and opposite reaction, hence the alternative name for this law as the action-reaction law.
Commensurately:
Buddhist philosophy is built on the foundation of cause and effect (Tibetan: rgyu ‘bras; Sanskrit: hetuphala) the primary features of this law being:
1. Nothing evolves uncaused
2. Any entity which itself lacks a process of change cannot cause any other event
3. Only causes which possess natures that accord with specific effects can lead to those effects
“It is mind itself that sets in place the myriad array of beings in the world, and the world that contains them…living beings all arise from karma, and so without mind, there could be no karma.”
Madhyamakāvatarā, VI: 89
Bibliography: A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity by Peter Collier The Handbook of Tibetan Culture, 1993. Compiled by Graham Coleman
SOME MATHEMATICAL THEOREMS ON PERSPECTIVE DRAWING
From: Chapter 10, Mathematics for the Nonmathematician, Morris Kline
Let us accept, then, the principle that the canvas must contain the same section that a glass screen placed between the eye of the painter and the actual scene would contain. Since the artist cannot look through his canvas at the actual scene and may even be painting an imaginary scene, he must have theorems which tell him how to place his objects on the canvas so that the painting will, in effect, contain the section made by a glass screen.
Suppose then that the eye at E (Fig. 10–8) looks at the horizontal line GH and that GH is parallel to a vertical glass screen. The lines from E to the points of GH lie in one plane, namely the plane determined by the point E and the line GH, for a point and a line determine a plane. This plane will cut the screen in a line, G′H′, because two planes which meet at all meet in a line. It is apparent that the line G′H′ must also be horizontal, but we can prove this fact and so be certain. We can imagine a vertical plane through GH. Since GH is parallel to the screen and the latter is also vertical, the two planes must be parallel. The plane determined by E and GH cuts these parallel planes, and a plane which intersects two parallel planes intersects them in parallel lines. Hence G′H′ is parallel to GH, and since GH is horizontal, so is G′H′. But GH was any horizontal line parallel to the screen. Hence the image on the screen of any horizontal line parallel to the screen or picture plane must be horizontal. Thus in a painting which is to contain what this glass screen contains, the line G′H′ must be drawn horizontally.
We can present practically the same argument to show that the image of any vertical line, which is automatically parallel to the vertical screen, must appear on the screen as a vertical line. Thus all vertical lines must be drawn vertically. Continue reading “SOME MATHEMATICAL THEOREMS ON PERSPECTIVE DRAWING”
A Select Study on Images of the Apollo Missions
The Tibetan Alphabet: u-chen (དབུ་ཅན་)
Vowels diacritics
![](https://praxisthinking.com/wp-content/uploads/2022/09/18D89B7F-6AB8-41FA-A83B-1F19B5BE2CC1.gif)
Consonants
![](https://praxisthinking.com/wp-content/uploads/2022/09/3BE72707-53FF-4FD8-8D6A-4E6ECDD4E576.gif)
Conjunct consonants
![](https://praxisthinking.com/wp-content/uploads/2022/09/C531B304-B7A7-45E5-88C6-3D41F5FFA52B.gif)
Punctuation
![](https://praxisthinking.com/wp-content/uploads/2023/02/F67D11D5-BFFB-4DF8-912D-65C0EDDE0A45.gif)
Numerals
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Indo-European Language-Tree
![](https://praxisthinking.com/wp-content/uploads/2022/07/IndoEuropeanTree.svg_.png)
French Dieu Spanish Dios from Latin Deus from Ancient Greek Zeus from Proto-Hellenic *dzéus from Proto-Indo-European *deiwos meaning "celestial" or "shining" Iuppiter or Jūpiter from Roman Diespiter (deus + Latin: pater = English: father) from Proto-Italic *djous patēr from Proto-Indo-European root *Dyḗws*Pahtḗr literally meaning "Sky Father" Whence is also derived the name of the Hindu sky god Dyáuṣ Pitṛ́ (Vedic Sanskrit: Dyáuṣpitṛ́) and Proto-Germanic *Tīwaz or Tius hence Old Norse Týr English mother from Middle English moder from Old English mōdor from Proto-Germanic *mōdēr from Proto-Indo-European *méh₂tēr Other cognates include Spanish madre Latin māter Greek mā́tēr/mā́tar Slavic *mati Persian madar Sanskrit mātṛ English Sin from Old English synn "moral wrongdoing" from Proto-Germanic *sundiō probably "it is true" from Proto-Indo-European *snt-ya-, a collective form from *es-ont- "becoming" present participle of root *es- "to be" Sanskrit Bodhisattva "one whose essence is perfect knowledge," from bodhi "perfect knowledge" + sattva "reality, being" from sat-, sant- "existing, true, virtuous" from Proto-Indo-European root *es- "to be"
Laniakea (Hawaiian: Immense Heaven)
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Celestial Sphere
Click on images for greater detail.
Constellations (modern) key, by family and year established, and ecliptic:
![](https://praxisthinking.com/wp-content/uploads/2022/06/Constellations_ecliptic_equirectangular_plot.svg_.png)
Constellations map (see key above):
![](https://praxisthinking.com/wp-content/uploads/2022/06/Star-map-2-scaled.jpg)
Constellations of Northern Hemisphere:
![](https://praxisthinking.com/wp-content/uploads/2022/06/northern-constellations.jpg)
Constellations of Southern Hemisphere:
![](https://praxisthinking.com/wp-content/uploads/2022/06/southern-constellations.jpg)
Harmonia Macrocosmica Comica
![](https://praxisthinking.com/wp-content/uploads/2022/06/Solar_System_true_color-1024x576.jpg)
![](https://praxisthinking.com/wp-content/uploads/2022/06/sun-1024x992.jpg)
![](https://praxisthinking.com/wp-content/uploads/2022/06/venusAndsun-1024x1024.jpg)
![](https://praxisthinking.com/wp-content/uploads/2022/06/mercury-1024x1024.jpg)
![](https://praxisthinking.com/wp-content/uploads/2022/06/venus-1024x576.jpg)
![](https://praxisthinking.com/wp-content/uploads/2022/06/Earth.jpg)
![](https://praxisthinking.com/wp-content/uploads/2022/06/mars.jpg)
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![](https://praxisthinking.com/wp-content/uploads/2022/06/jupiter-1024x838.jpg)
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![](https://praxisthinking.com/wp-content/uploads/2022/06/uranus.jpg)
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