52 Ancestors,
in 52 Weeks
Week 50:
Lines
Family Finds Charter Oak

Geometry Lines and Genealogy

In genealogy, we speak of lines as our descent from a particular ancestor. The father of geometry, Euclid, first defined a line as “breadthless length.” [1] In Euclidean geometry, a line has no dimension: no breadth, and no defined length. I could argue that genealogical lines, or lineages, have breadth: our siblings and cousins. But, generally, when genealogists research a lineage, it is a direct line of descent connecting children to parents, going as far into the past as records permit. But what about the genealogical brick wall? Or a descendant that has no children? Does that mean genealogical lines are not lines but segments or rays?

Segments and Rays

While geometry defines a line as infinite, segments are lines with defined endpoints. Consider a lineage that begins with you and ends with a, so-called, genealogy brick wall. This is an ancestor whose parentage cannot be determined. I have previously argued that genealogy is like long line topology. [2] There is always another generation, even if that generation is not found in the records, they exist. So, brick wall ancestors are only an end point on paper. In fact, their lineage continues into the past, we just cannot document it. While this example seems to have one defined endpoint, you, in fact your descendants continue the lineage into the infinity of the future.

Let’s consider the ray, it is defined in geometry as semi-infinite. It has a finite point from which it originates and then goes into the infinite. Could this be the case of a childless person? Their personal lineages go in just one direction, the infinite past. Hmm… Technically, that sounds right. I have no children myself, so rather than referencing my lineage, should I call it my rayage? Probably not, but it’s a fun idea for a mathematical analogy to genealogy.

SOURCES:

1. Webpage, Wikipedia, Line (geometry); https://en.wikipedia.org/wiki/Line_(geometry)

2. Blog post, Family Finds, Long Line; https://barblafara.com/long-line/

0 Comments

Submit a Comment

Your email address will not be published. Required fields are marked *

Remember Me and I Will Live

Frank Takeo Flucawa

Born Takeo Furukawa on 15 March 1883 in Tottori-Ken, Tokyo, Japan, little is documented of his early childhood. Family oral history stories say that the young Takeo experienced hunger, poverty and the loss of his family. Additionally, the stories tell of friendship, spiritual learning and scholarship.

David L. Osborne: His Indianapolis Homes

My great grandfather, David Louis Osborne, lived at over 20 addresses around Indianapolis between 1876 and 1942. I thought it would be interesting to see all the old buildings and homes where he lived in my hometown of Indianapolis.

The Marriage of David and Jennie Osborne

My great grandfather, David Louis Osborne (1848-1942), was a widower with two young sons in 1886 when he married Jennie Warbington (1857-1918) in Minneapolis on the 27th of May. I decided it was time to put sources to the story.

Do You See A Resemblance?

While working on a family photo project I decided it would be fun to compare side-by-side my father and his parents, at similar ages, to try and discover a family resemblance.

Probate of Jesse King 1868

Jesse King was born in Ohio (probably in the vicinity of Chillicothe) in 1805, he was a son of Philip King and Mary Leah Wright, both of Pennsylvania. Philip King was a farmer, he married Leah Wright in 1801 in Somerset, PA, they had six children, of whom Jesse was the third.

Letter from Sarah Tucker Lafary

A handwritten letter from Sarah Tucker Lafary to the then president of the United States, Grover Cleveland. It was her last appeal for a War of 1812 pension, sadly the pension was denied. The letter gives a glimpse of a woman who had no formal education, a poor farmers wife, then widow, mother of nine, she probably just wanted some independence through an income of her own.

Sarah Smith: Challenge

52 Ancestors, in 52 Weeks – Week 2: Challenge
So much about genealogy research is a challenge, perhaps the most common challenge is the ‘brick wall,’ meet Sarah Smith. 18?? – 1846

Laferre to LaFara: Unusual Name

The surnames in my tree are typical of common western European names. However, the name that is unusual among these names is MY surname: LaFara.

Luella Pressell: Surprise!

52 Ancestors, in 52 Weeks – Week 6: Surprise!
Just when you think you know everything about an ancestor, surprise! I thought I knew most everything about my paternal great grandfather David L. Osborne, 1848-1942.

Rumple Family Photo 1895

For all of us who are procrastinating about labeling photos I have one thing to say, “Be considerate of the genealogist of the future!” My maternal grandmother was very good about labeling old family photos, and there is one, in particular, I found very informative.

Conrad Rumple: Bachelor Uncle

52 Ancestors, in 52 Weeks – Week 10: Bachelor Uncle
My uncles are the marrying kind, sometimes more than once!
I had to go back four generations for a bachelor uncle, my great-great-great uncle Conrad Rumple, 1833-1911.
Conrad was an older brother to my great-great grandfather on my matrilineal line, William Rumple, 1839-1912.

George Lafary and Catherine Landon: Large Family

My great-great grandparents, George Lafary and Catherine Landon, had a relatively small family, three of their six children survived to adulthood. However, they both came from large families of nine siblings and nearly all survived to marry and have children.

In The Paper

52 Ancestors, in 52 Weeks – Week 13: In The Paper
It’s fun to find articles in the paper mentioning one of my relatives. Mostly they are birth, marriage, divorce and death events. But, it’s the oddball articles in the papers I like the most.

Genealogy Brick Walls

52 Ancestors, in 52 Weeks – Week 14: Brick Wall
We all have a brick wall, that one ancestor who defies all research. I decided I would work at my brick walls by generation, I broke through the last of my 3rd great grandparent brick walls, now I am working on 4th great grandparents.

Catherine Landon: Out of Place

I realized I did not have a date of death for my great, great grandmother, Catherine Landon Lafary. A fresh search uncovered the date and much more. Out of place, but once discovered, everything fell into place.

Immigrant Ancestors, Fresh Start

52 Ancestors, in 52 Weeks – Week1: Fresh Start.
The varied reasons my European ancestors immigrated to North America for a fresh start.

William and Uva Lafara: Favorite Photo

I have many favorite photos among my collection of family artifacts. Currently, my favorite photo is of two little children from 1916 who were a complete mystery to me until last spring.

Close to Home

My grandparents. Earl and Pearl, met at church, close to home, in 1914,

So Far Away

My great-uncle Frank immigrated to the United States from Japan in 1905 to further his education, so far away

Same Name

I get excited when I discover an ancestor with the same name as a friend, or co-worker, or neighbor. Maybe we are related!