Subject of occupations:

Subject of the previous lesson

Addition

Lesson 16

**TRIGONOMETRIC FUNCTIONS IN A RECTANGLE**Subject of the previous lesson

Addition

Lesson 16

**Decomposition on items**If only the result of addition is known and items are unknown, then the sum can be spread out to items by means of the linear angular functions.

Decomposition of the sum on items |

Transformation of a square of quantity to the work of two sums (see an example above), it is possible to execute with application of decomposition of result of multiplication to multipliers and items.

Transformation of a square to the work of the sums |

Similitudes can be useful when studying various natural phenomena to their best comprehension. Let's review an example of reproduction of living beings.

Asexual reproduction of live organisms can be described by means of decomposition of the sum on items. As a result of division of an organism

**A**two self-contained organisms

**B**and

**C**.

Asexual reproduction |

Decomposition on items with corners about 45 degrees, is characteristic of unicells. For metaphytes the range of an angle of decomposition varies in wider limits (a vegetative reproduction, budding, fragmentation). The unit of measure at decomposition can be considered a physical body of an organism.

The beginning of life (zero) of similar organisms can be considered the moment of division of a parental organism. The termination of life (unit) can be considered characteristic division or death.

Sexual reproduction is described by means of multiplication. The moment of emergence of sexual reproduction can be described by means of the linear angular functions. At simultaneous reproduction of organisms

**A**and

**B**there was the common stream

**C**which had signs of two parents.

Emergence of sexual reproduction |

What have to be the angles of decomposition for emergence of the common offspring? The most probable candidates in "invented" sexual reproduction it is a larger cage and a virus. The virus breeds in a cage. Along with cell division there was a division of a virus. The result was a new body. Or two body - male

**M**and female

**W**.

Male and female |

It is only one of a set of options of possible succession of events. From the moment of emergence of life on Earth until emergence of sexual reproduction in the Nature was enough time for the most different experiments.

**Closing part**

Further studying of properties of units of measure will help to understand better and more precisely to describe by mathematical methods various phenomena in the world around.

The separate ideas published in this work will be considered in more detail in the subsequent publications.

**Gratitude**

I express sincere gratitude to the parents and the daughter Inna for financial support of my working on with mathematics.