U har bir holat uchun tenglamani ye

U har bir holat uchun tenglamani yechish qoidalari hamda ularning qatʼiy isbotlarini keltiradi. Isbot garchi tashqi koʻrinishda geometrik tilda bayon qilinsada, mohiyatan hozirgi algebraik isbot bilan mos tushadi.

Kitobning keyingi bobida algebraik hisob, xususan, aljabr va mukrbala amallari bayon qilinadi. Bu bobda "irratsionallik" tushunchasi kiritiladi, "ishoralar qoidasi" keltiriladi. Kitobning navbatdagi ikki bobi algebradan masalalar toʻplami boʻlib, aljabr va muqobala amallari bilan yechiladigan murakkabroq misollarga, "Oʻlchashlar haqida bob"i geometriyaga bagʻishlangan. Unda shakllarning yuz va hajmlarini oʻlchash qoidalari, Pifagor teoremasi va boshqa faktlar bayon qilingan. Bu bob hajm jihatdan kichik boʻlsa ham, oʻsha davr amaliyoti uchun zarur boʻlgan maʼlumotlarni oʻz ichiga olgan. Lekin muallif muqaddimada qayd etganidek, bu bobdan koʻzlangan asosiy maqsad geometriyani bayon qilish emas, balki algebra geometriyada ham qoʻllanishini namoyish qilish boʻlgan. Masalan, uch tomoni berilgan uchburchakning balandligi algebra vositasida topilishi koʻrsatilgan.

Results (English) 1:

He is the equation for the rules and their strict evidence. Even though the external form of geometric language of proof Even assuming that, in principle compatible with the current algebraic proof.

In the next chapter of algebraic calculations, including Algebra and explain what they mukrbala. In this chapter, "irrationals", and added, "sign rules". The next two chapters of the book collection of algebra, Algebra and more complex the solution works with counter examples, "measuring chapter" dedicated to the geometry. The shape and dimensioning rules, the Pythagorean theorem, and other facts. In this chapter, even if small in volume, which contains the information necessary for the practice of the same period. But the author, the preamble noted that the main purpose of this chapter is not to describe the geometry, but also to demonstrate the use of algebraic geometry. For example, the height of the triangle three sides of algebra tools have been found.