The starting point.

On a number line it is 0

On a two-dimensional graph it is where the X axis and Y axis cross, marked (0,0) on the graph here:

In three dimensions it is the point (0, 0, 0)

or·i·gin  (ôr-jn, r-)
1. The point at which something comes into existence or from which it derives or is derived.
2. Ancestry: "We cannot escape our origins, however hard we try" (James Baldwin).
3. The fact of originating; rise or derivation: The rumor had its origin in an impulsive remark.
4. Anatomy The point of attachment of a muscle that remains relatively fixed during contraction.
5. Mathematics The point of intersection of coordinate axes, as in the Cartesian coordinate system.

[Middle English origineancestry, from Latin org, orgin-, from orrto arise, be born; see er-1 in Indo-European roots.]
Synonyms: origin, inception, source, root1
These nouns signify the point at which something originates. Origin is the point at which something comes into existence: The origins of some words are unknown.
When origin refers to people, it means parentage or ancestry: "He came . . . of mixed French and Scottish origin" (Charlotte Brontë).
Inception is the beginning, as of an action or process: The researcher was involved in the project from its inception.
Source signifies the point at which something springs into being or from which it derives or is obtained: "The mysterious . . . is the source of all true art and science" (Albert Einstein).
Root often denotes what is considered the fundamental cause of or basic reason for something: "Lack of money is the root of all evil" (George Bernard Shaw).

Talkin' math or English the origin of something is basically its beginning.  So from just where did the domesticated dog and cat originate?  What are their roots?

Scientists have used some new tricks and old dogs to show that thousands of years ago, wolves may have first become man's best friend in Europe.
Researchers extracted DNA from ancient wolf or dog fossils and compared it with DNA from modern dog breeds and wolves. Until recently, labs didn't have the kind of genetic tools they'd need to work with such old dog DNA and do this kind of detailed comparison.
One surprise is that most domestic dogs are more closely related to ancient wolves than modern wolves. "It's these ancient wolf populations, now extinct, probably residing in Europe, that are the direct ancestors of domestic dogs," says Robert Wayne, a biologist at the University of California, Los Angeles.  

His team's new analysis, in the journal Science, suggests that European wolves became dogs somewhere around 18,800 to 32,100 years ago, before the start of agriculture.

Wayne says that wolves probably started growing closer and closer to the hunter-gatherers who roamed Europe back then. Perhaps the wolves fed on leftover carcasses, and the hunters found them useful in some way — maybe the wolves were good at finding prey, or could alert hunters to danger.
When you think about the history of humans and cats, you probably conjure up thoughts of Egyptian pharaohs and their pampered pets. But now researchers think that cats might have been taking the first steps toward domestication in a small farming village in China, as early as 5,300 years ago -- 1,300 years before the Egyptians began depicting their feline companions in art.One of the most prominent theories for the origin of cat domestication is that wild felines began hanging around humans sometime after we began farming. Our crops and trash attracted lots of things cats like to eat -- rodents, small birds -- which made for a kitty smorgasbord. Over generations, the cat adapted along with us, but mostly lived a half-feral existence as pest control until people began taking a fancy to indoor cats a couple centuries ago. A lot of the details in this story -- exactly when cats first attached themselves to people, and where -- remain something of a mystery.

Wow!  How time has changed the first domesticated dogs and cats!  But, I guess which came first was the hybird...a mix of wild and not so wild wolf/dog and feline.  Now is that hybrid sometime a mutt or a domestic short hair?  Probably, especially before the rage of the designer pet.  We will explore that realm tomorrow!!

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