# Solar Path Diagram Generator

ideas solar path diagram generator and sun path diagram generator fresh related post 56.

best of solar path diagram generator for sun path diagram related post 84.

best of solar path diagram generator for fig 4 screen capture of the angles sheet in the spreadsheet 85.

good solar path diagram generator and related post 39 solar path diagram software.

fresh solar path diagram generator for solar charts sun angle calculations com sun path diagram generator sun path diagram site 59.

beautiful solar path diagram generator or untitled capture 26.

good solar path diagram generator for playing the angles for solar responsive design green passive solar com sun path diagram illustrator sun path diagrams architecture 63.

amazing solar path diagram generator or sun path diagram 18.

lovely solar path diagram generator and instrument 96 solar path diagram software.

best of solar path diagram generator for massive agricultural design design com simple sun path diagrams simple sun path diagrams 14 solar path diagram software.

solar path diagram generator for pin by on efficient ideas solar sun and com simple sun path diagrams sun path diagram generator 72.

elegant solar path diagram generator and polar sun path diagrams 16.

awesome solar path diagram generator or 48.

beautiful solar path diagram generator or download full size image 21 solar path diagram software.

awesome solar path diagram generator or sun path diagrams architecture google search com simple sun path diagrams solar path 54.

ideas solar path diagram generator and sun path diagram for exercise 6 com sun path diagram generator 34.

best of solar path diagram generator or 83 solar path diagram software.

unique solar path diagram generator for step 1 generate a diagram online for your latitude a sun path 14.

ideas solar path diagram generator or sun path diagram 25.

luxury solar path diagram generator or sun path diagram of sides model in tropical zone illustrating net solar path diagram 67.

lovely solar path diagram generator or sun path diagrams printable diagram solar path diagram architecture solar path diagram latitude 34.

The structure of this humble diagram was formally developed by the mathematician John Venn, but its roots go back as far as the 13th Century, and includes many stages of evolution dictated by a number of noted logicians and philosophers. The earliest indications of similar diagram theory came from the writer Ramon Llull, whos initial work would later inspire the German polymath Leibnez. Leibnez was exploring early ideas regarding computational sciences and diagrammatic reasoning, using a style of diagram that would eventually be formalized by another famous mathematician. This was Leonhard Euler, the creator of the Euler diagram.

Logician John Venn developed the Venn diagram in complement to Eulers concept. His diagram rules were more rigid than Eulers - each set must show its connection with all other sets within the union, even if no objects fall into this category. This is why Venn diagrams often only contain 2 or 3 sets, any more and the diagram can lose its symmetry and become overly complex. Venn made allowances for this by trading circles for ellipses and arcs, ensuring all connections are accounted for whilst maintaining the aesthetic of the diagram.

Euler diagrams are similar to Venn diagrams, in that both compare distinct sets using logical connections. Where they differ is that a Venn diagram is bound to show every possible intersection between sets, whether objects fall into that class or not; a Euler diagram only shows actually possible intersections within the given context. Sets can exist entirely within another, termed as a subset, or as a separate circle on the page without any connections - this is known as a disjoint. Furthering the example outlined previously, if a new set was introduced - birds - this would be shown as a circle entirely within the confines of the mammals set (but not overlapping sea life). A fourth set of trees would be a disjoint - a circle without any connections or intersections.

Usage for Venn diagrams has evolved somewhat since their inception. Both Euler and Venn diagrams were used to logically and visually frame a philosophical concept, taking phrases such as some of x is y, all of y is z and condensing that information into a diagram that can be summarized at a glance. They are used in, and indeed were formed as an extension of, set theory - a branch of mathematical logic that can describe objects relations through algebraic equation. Now the Venn diagram is so ubiquitous and well ingrained a concept that you can see its use far outside mathematical confines. The form is so recognizable that it can shown through mediums such as advertising or news broadcast and the meaning will immediately be understood. They are used extensively in teaching environments - their generic functionality can apply to any subject and focus on my facet of it. Whether creating a business presentation, collating marketing data, or just visualizing a strategic concept, the Venn diagram is a quick, functional, and effective way of exploring logical relationships within a context.

A Venn diagram, sometimes referred to as a set diagram, is a diagramming style used to show all the possible logical relations between a finite amount of sets. In mathematical terms, a set is a collection of distinct objects gathered together into a group, which can then itself be termed as a single object. Venn diagrams represent these objects on a page as circles or ellipses, and their placement in relation to each other describes the relationships between them. Commonly a Venn diagram will compare two sets with each other. In such a case, two circles will be used to represent the two sets, and they are placed on the page in such a way as that there is an overlap between them. This overlap, known as the intersection, represents the connection between sets - if for example the sets are mammals and sea life, then the intersection will be marine mammals, e.g. dolphins or whales. Each set is taken to contain every instance possible of its class; everything outside the union of sets (union is the term for the combined scope of all sets and intersections) is implicitly not any of those things - not a mammal, does not live underwater, etc.