Algebra, the western name of algebra, comes from the name of the important works of Arab mathematician Hua Lazimi in the 9th century. This book is called "ilm al-jabr wa' 1 muqabalah", which means "the science of reduction and cancellation". This book was translated into algebra after it was spread to Europe. In the early Qing Dynasty, two volumes of works on algebra without authors were introduced into China, which were successively translated into the New Law of Bala in Algar and Algebra (translated by Li, 1853).

The Elements of Geometry is an immortal work of Euclid, an ancient Greek mathematician, which combines the achievements and spirit of ancient Greek mathematics in one book. It is not only a masterpiece of mathematics, but also a masterpiece of philosophy, which completes the human understanding of space for the first time. Since its publication, it has been translated and revised for more than 2000 years. Since the first printed version of 1482 was published, there have been more than 1000 different versions. Apart from the Bible, there is no other work, and its research, use and dissemination are extensive, which can be compared with the Elements of Geometry. The earliest Chinese translation was completed by Italian missionary Matteo Ricci and Ming Dynasty scientist Xu Guangqi in 1607, but they only translated the first six volumes. It is this remnant that laid the basic terms of modern mathematics in China, such as triangle, angle, right angle and so on. Japanese, Indian and other eastern countries all use China's translation, which is still in use today. In the past century, although this masterpiece must be mentioned in Chinese mainland's middle school textbooks, it is not a blessing for China readers to see its whole picture, and it is even more wishful thinking to include it in family books.