Betweenness plane geometry and its relationship with convex ...

Gene Stratton-Porter

Description

• exposé

Proc. Estonian Acad. Sci. Phys. Math., 2007, 56, 3, 233–251 Betweenness plane geometry and its relationship with convex, linear, and projective plane geometries Ülo Lumiste Institute of Pure Mathematics, Faculty of Mathematics and Computer Science, University of Tartu, J. Liivi 2, 50409 Tartu, Estonia; Received 5 April 2007, in revised form 8 June 2007 Abstract.

• betweenness geometry coincides with convex geometry
• betweenness plane
• relationship of betweenness geometries with join geometries
• axioms of connection
• betweenness geometry
• join operation
• coordinates
• theory
• points

Sujets

• Exposé
• University of Tartu
• Poincaré
• Euclid
• Centrality
• Geometry
• Coordinate system
• Convex

Informations

• Publié par: ecta
• Nombre de lectures: 30
• Langue: English

Extrait

Why Marriages and Relationships Fail or Succeed.
Copyright © 2011 Dr. Joel Akande
Published by Strategic Insight Publishing
ISBN 10: 0-9532332-2-7
Smashwords Edition
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Introduction
Every Human Dilemma
“There is power in knowing...” Joel Akande

1Thank you for choosing to read this book. You are holding in
your very hands, a book like no other. You are about to unravel,
as never before published, stunning insights into the influences
that shape human relationships---personal and business---
influences that may lead a relationship ---personal or business---
into either failure or success, a happy finale or an acrimoniously
sad ending. These are influences that you can not escape from;
they will in one way or another affect your association with
other individuals. I will rather prefer that you know about them,
make use of them and avoid the traps that lay ahead in difficult
relationships. The same traps that have dogged many unwary
people and confined their relationships into: “if I had known
what I know now, I should have done things in a different way”.
This book is about what you need to “know now... so that you
can do things in a different way”.

I want to say right at the outset that this book is about you,
holding and reading this book, advising you, in relationship
terms, to look before you leap as well as helping you to assess
with a view to improving your existing relationships at home
with your spouse, with your children and at work with your boss
and your friends at large. The book is not a defence for nor
attack on one relationship or the other. This is an open book
written to help you live better and to help you improve your
decision-making process.

Let me say right now that you need relationships if you are ever
to make progress in this life. You need the right ones too. For
example, if you happen to live next to the wrong neighbour, you
may be in trouble for a long time. Yet, no one is an island or a
beacon of “all in all”. You can not go through this life on your
own, as a single person, without being in one form of
relationship or the other. It may not necessarily be an intimate
relationship.

***

In spite of the foregoing argument, you are at liberty to choose to
live in isolation. There are benefits in doing so. I, however, bet that living in seclusion from others is, in the image of Greek
terms, a Herculean task. Of course that is the dilemma and the
object of this book: to shed light into how you can either best
live in isolation or in association. The choice is yours. If you
choose to live a life of loneliness, you will find comfort in this
book. Also if you decide to live in association, you will find
great help in this book. You decide.

If you have existing relationships, this book will also help you to
decide if you are on the right track or not. Should you not be on
the right track, from this book, you can draw your conclusions as
to what you can do to improve things. These are simple and
straightforward, logical and well-proven truths and facts.

***
The aim of the author is to put in the open, those things which
you ought to know about before you ever take the first step to
get involved with another person of the opposite gender, e.g. in
the case of marriage, as well as those things which you the
reader should consider doing before you enter into any form of
relationship, be it platonic or sexual, business or ordinary
friendship. Human beings, it may interest you, can hardly be
depended upon to hold a particular position of principle for a
long time. Faced with mild to severe danger or the need for
pleasure and personal survival, a human being would, in a lot of
cases, abandon the ship that contained the relationship and the
other individuals that are in it. Yet, for you as a reader to survive
well in this world, you need people, dependable people around
you: That is called relationship, for short. You will need to trust
and be dependent on others for your continued existence.

Most relationships would fail or do fail for the simple reason that
the partners or individuals who are involved fail in their strategic
foresight in knowing what the future holds or what is in store for
them before they take the crucial and, as a friend of mine used to
put it, “indelible” step of connecting with the other person. A
human relationship also fails for the plain reason that each
individual simply fails to “gel” with the other: either that the
vision diverges or there is a division in the vision! The basis for this, whilst, it’s further explained in the book, can
be found on the ground of failed intensions and desires of either
or both parties to the relationship. How pleasant would it be,
imagine, if a relationship could mirror a jigsaw or puzzle when it
all fits snugly together in one piece---all in agreement in pursuit
of a common purpose!

***

Now, regarding the authority of this book, I wish to state that,
the book is borne out of the need to provide truthful and helpful
information to the readers. On that basis, I have done extensive
research in medical or clinical medicine, particularly
psychological, as well as legal positions on relationships. In
addition, I have considered the social effects and consequences
of forming a relationship between individuals and why it so
often ends up in conflicts.
I have taken a critical look at business relationships and what
informs them too.

The outcome of this extensive work is borne out in this book.
Readers need not be anxious about technicalities regarding the
various specialities which I have referred to above. I have not
bothered to cite complex arguments in the book but just
straightforward decisive information and examination to help
you to make an informed decision about where you are heading:
To know the very end before you begin is the aim of this book.

With this clarification, I can step forward to how the book is
organised. Please trust and follow me in this pathway.

This book is divided into three sections. The first section deals
with intimate relationships such as marriages and “partnerships”
or as they are commonly called “co-habitation”.

***

The second section of the books deals with platonic or non-
intimate and non-sexual relationships, such as ordinary friendships, business relations and family connections including
relations between parents and children. The second section also
deals with relationship between siblings and extended families.
Presumably, this is how the larger relationships between family
(inter-families) relationships are formed and by extension, inter-
communities and international relationships.
Crucially, similar principles underline them all. I discuss such
principles in this book.
The third and final section is concerned with maintenance of our
on-going relationships as well as abuses that may arise in our
association with other people.

***
Now let me give a synopsis of some of the sections which I
mentioned above.
Let me start with: Marriages and “partnerships” or “co-
habitation”.
The data on marriages in the last 100 years in Western Europe
and America is not an encouraging read. At best, it’s puzzling.
Let us begin in the UK.
Here is an excerpt from the National Office of Statistics:

“In 2006, there were 275,140 weddings in the UK, a fall of 4 per
cent since 2005. Marriages in England and Wales fell by 4 per
cent in 2006 to 236,980, which is the lowest number of
marriages since 1895. In Scotland, marriages dropped 3 per cent
to 29,898, whilst in Northern Ireland marriages increased 1 per
cent to 8,259. The long-term picture for UK weddings is one of
decline from a peak of 480,285 marriages in 1972.
In England and Wales, the number of unmarried adults rose in
2006, but the number who chose to marry fell, producing the
lowest marriage rates on record. In 2006, the marriage rate for
men was 22.8 men marrying per 1,000 unmarried men aged 16
and over, down from 24.5 in 2005. The marriage rate for women
in 2006 was 20.5 women marrying per 1,000 unmarried women
aged 16 and over, down from 21.9 in 2005. The number of marriages in England and Wales that were the
first for both partners peaked in 1940 at 426,100 when 91 per
cent of all marriages were