The evolution process of Gothic construction techniques towards the Renaissance implied a remarkable change in the design of ribbed vaults. The advance from pointed designs towards curved forms gave rise to the appearance of models with multiplied ribs. This meant a great variety and diversity of forms and the incorporation of curved ribs. The Manuscript Ms. 12686 of the National Library of Spain, the oldest of the Hispanic stonecutting texts, contains a drawing of a starry ribbed vault with eight loops. This tracing stands out for its marked practical nature, contrary to the theoretical models of greater simplicity included in other contemporary and later treatises. The main research core of this work is the geometric analysis about the design process of this tracing and its constructive application in similar vaults built in Spain during the sixteenth century.

中文翻译：

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八环带肋拱顶的几何与构造

哥特式建筑技术向文艺复兴时期的演变过程暗示了罗纹拱顶设计的显着变化。从尖头设计到弯曲形式的进步导致了多筋模型的出现。这意味着形式的多样性和多样性以及弯曲肋的结合。西班牙国家图书馆的手稿 Ms. 12686 是最古老的西班牙裔石刻文本，其中包含一幅八环繁星点点的罗纹拱顶图。这种追踪因其显着的实用性而引人注目，这与其他当代和后来的论文中包含的更简单的理论模型相反。