- Feb 2020
Image Credit: Detail from "The School of Athens" by Raffaello Sanzio da Urbino (c. 1509–1511).
Euclid's common notions appear to be grounds for many of Marx's arguments in Ch. 1, but also throughout the book.
Near the beginning of Ch. 1 of the Elements Euclid lists them [PDF]:
- Things that are equal to the same thing are also equal to one another (the Transitive property of a Euclidean relation).
- If equals are added to equals, then the wholes are equal (Addition property of equality).
- If equals are subtracted from equals, then the differences are equal (Subtraction property of equality).
- Things that coincide with one another are equal to one another (Reflexive property).
- The whole is greater than the part.
Regarding the fifth, also see Aristotle, Metaphysics 8.6 [=1045a]; Topics 6.13 (=150a15-16);
On the concept of the "whole-before-the-parts" (along with the "whole of the parts" and the "whole in the part"), also see Proclus, El. Theol., prop. 67.
the area of the triangle itself is expressed by something totally different from its visible figure, namely, by half the product of the base multiplied by the altitude
In order to calculate and compare the areas of rectilinear figures, we decompose them into triangles
- Reflexive Property
- Parts and Wholes
- Common Notions
- Common Terms
- Transitive Property
- Khan Academy
- Jan 2020
- Nov 2019
As online learning matures, it is important for both theorists and practitioners to understand how to apply new and emerging educational practices and technologies that foster a sense of community and optimize the online learning environment.
The article expresses the design theory elements (goals, values, methods) and how it can assist with defining new tools for online learning. Rating 5/5
- Aug 2019
vessel elements and tracheids
Does "conduct water" mean they each specifically facilitate the transportation of water? I guess I am asking how to differentiate the three cell types.
- Jun 2019
Chemical elements with a sufficiently high neutron capture cross-section include silver, indium and cadmium. Other candidate elements include boron, cobalt, hafnium, samarium, europium, gadolinium, terbium, dysprosium, holmium, erbium, thulium, ytterbium and lutetium. Alloys or compounds may also be used, such as high-boron steel, silver-indium-cadmium alloy, boron carbide, zirconium diboride, titanium diboride, hafnium diboride, gadolinium nitrate, gadolinium titanate, dysprosium titanate and boron carbide - europium hexaboride composite.
- Aug 2018
Sea, nor Shore, nor Air, nor Fire,
Water, Earth, Air and Fire. It's curious that Milton refers to water as Sea, and earth as Shore. The idea of the Four Elements originated with the Greek philosopher, Empedocles. They are in continual conflict with each other as a result of Strife. See http://www.webwinds.com/myth/elemental.htm
For hot, cold, moist, and dry, four Champions fierce Strive here for Maistrie
According to Empedocles, an early Greek philosopher, there are four elements in continual conflict with each, as influenced by Strife (discordant energy) and Love (harmony). See my article on Empedocles and the four elements at: http://www.webwinds.com/myth/elemental.htm
- Jul 2017
Doug Belshaw’s eight elements of digital literacies, I have just mentioned the civic, critical, creative, and communicative. The other four are cultural, cognitive, constructive, and confidence.
- Jan 2016
Elements 113, 115, 117, and 118 were recently produced in laboratories. 114 and 116 were created about five years ago. There is a petition to name one of the new elements Lemmium, after rock musician Lemmy Kilmister, who died 28 December 2015. It has 133,465 signatures so far.
- Feb 2014
THE ELEMENTS OF BRIEFING Procedural History Legal Issue Facts of Case Statement of Rule Policy Dicta Reasoning Holding Concurrence Dissents
The Elements of Briefing
- Procedural History
- Legal Issue
- Facts of Case
- Statement of Rule
T h i s p r o t e c t i o n i s s u b j e c t t o a n i m p o r t a n t l i m i t a t i o n . T h e m e r e f a c t t h a t a w o r k i s c o p y r i g h t e d d o e s n o t m e a n t h a t e v e r y e l e m e n t o f t h e w o r k m a y b e p r o t e c t e d . O r i g i n a l i t y r e m a i n s t h e s i n e q u a n o n o f c o p y r i g h t ; a c c o r d i n g l y , c o p y r i g h t p r o t e c t i o n m a y e x t e n d o n l y t o t h o s e c o m p o n e n t s o f a w o r k t h a t a r e o r i g i n a l t o t h e a u t h o r . P a t t e r s o n & J o y c e 8 0 0 - 8 0 2 ; G i n s b u r g , C r e a t i o n a n d C o m m e r c i a l V a l u e : C o p y r i g h t P r o t e c t i o n o f W o r k s o f I n f o r m a t i o n , 9 0 C o l u m . L . R e v . 1 8 6 5 , 1 8 6 8 , a n d n . 1 2 ( 1 9 9 0 ) ( h e r e i n a f t e r G i n s b u r g ) .
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