The practice of mathematics underwent a major transformation in the seventeenth century due to new procedures and concepts that also showed their utility for military architecture. The circulation of this knowledge can be found in several works. In this paper, we focus on an early work on Portuguese fortifications, Methodo Lusitanico de Desenhar as Fortificaçoens das Praças Regulares & Irregulares (Lusitanic Method of Drawing Fortifications of Regular and Irregular Military Posts), published posthumously in 1680, the author of which was the leading Portuguese Chief Cosmographer and Chief Engineer, Luis Serrão Pimentel (1613–1679). Methodo Lusitanico was a novel work containing the author’s own theoretical explorations of the art and science of fortification in Portugal arising from the theoretical investigations and military education sponsored by the Portuguese Crown. The aim of our contribution is to show the European influences on Portuguese science in the seventeenth century through the analysis of an early work on modern fortifications written in the Portuguese language and by a Portuguese scholar. As far as the contents of the book are concerned, we show that Serrão Pimentel analyzes and reviews the published methods of fortification, and modifies them by introducing new procedures to improve the use of mathematics in the teaching of engineers. Our analysis also shows that Serrão Pimentel was a leading mathematician and a skillful teacher who had read the main mathematical works published at his time, such as Stevin’s decimal arithmetic, and used them in practice.

由于新的程序和概念也显示了其在军事建筑中的效用，因此数学的实践在17世纪经历了重大变革。这种知识的传播可以在几本著作中找到。在本文中，我们集中于葡萄牙工事的早期工作，Methodo Lusitanico de Desenhar担任FortificaçoensdasPraçasRegulares＆Irregulares（绘制常规和非常规军事哨所设防的Lusitanic方法），于1680年死后出版。领先的葡萄牙首席宇宙学家和首席工程师路易斯·塞拉·皮门泰尔（1613-1679）。Methodo Lusitanico是一部新颖的作品，其中包含了作者自己对葡萄牙工事艺术和科学的理论探索，这是由葡萄牙王室赞助的理论研究和军事教育引起的。我们的贡献是通过分析葡萄牙学者和一位葡萄牙学者撰写的有关现代防御工事的早期著作，来表明欧洲在17世纪对葡萄牙科学的影响。就本书的内容而言，我们表明SerrãoPimentel分析和审查了已发布的设防方法，并通过引入新的程序对其进行了修改，以改进工程师教学中的数学使用方法。