unique double hung window parts diagram for double hung window parts sliding window parts diagram window sliding window lock double hung window sketch 69.
best of double hung window parts diagram or single hung window parts diagram casement window parts diagram lovely beautiful double hung window parts diagram single hung window parts diagram 65.
luxury double hung window parts diagram and placeholder vinyl window parts diagram slider 87.
ideas double hung window parts diagram and window parts name window parts name medium size of double hung diagram casement how to clean window parts 99.
idea double hung window parts diagram or single hung window parts diagram decoration double hung window replacement parts for website 26.
inspirational double hung window parts diagram and single hung window parts diagram double hung window parts diagram download by home decor ideas magazine 15 double hung vinyl window parts diagram.
fresh double hung window parts diagram for aluminum window parts diagram vinyl window parts diagram anatomy a double hung window aluminum window parts 35.
double hung window parts diagram and double hung window replacement parts windows sash replacement kits window photos of with regard to remodel 19.
new double hung window parts diagram and aluminum window old aluminum window parts com parts of residential windows aluminum window parts diagram 51 double hung vinyl window parts diagram.
idea double hung window parts diagram for restoring old double hung windows double hung window seals marvelous 7 how to install a window 28.
good double hung window parts diagram and single hung window replacement parts window balances for double hung and single hung windows window parts 73.
amazing double hung window parts diagram and vinyl window parts diagram elegant parts of a window window anatomy glossary 84.
inspirational double hung window parts diagram for vinyl window parts diagram vinyl window replacement parts window parts diagram medium size of casement window vinyl window parts diagram 33.
double hung window parts diagram and single hung window parts diagram pretty casement window parts window parts diagram doors hung 21.
idea double hung window parts diagram and double hung window parts fresh double hung single hung intended for best double hung window 51 double hung vinyl window parts diagram.
best of double hung window parts diagram or vinyl window frame parts double hung window parts diagram wooden window frame repair club vinyl parts 36 double hung vinyl window parts diagram.
luxury double hung window parts diagram or window anatomy of an old double hung 88 double hung vinyl window parts diagram.
best of double hung window parts diagram and single hung window parts diagram vinyl window parts diagram parts vinyl slider window parts diagram sliding 81.
double hung window parts diagram or heritage anatomy of an old double hung window 77 double hung vinyl window parts diagram.
double hung window parts diagram or anatomy 46.
ideas double hung window parts diagram or aluminum window parts diagram images 74.
awesome double hung window parts diagram for vinyl window parts diagram new hardware and interior parts an architect series double hung 83 double hung vinyl window parts diagram.
awesome double hung window parts diagram and hung window repair parts beautiful related post 69.
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.
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.
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.
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.
Other Collections of Double Hung Window Parts Diagram