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Arithmetica Realis, dedicated to His Most Serene and Reverend Highness Leopoldo de’ Medici, Cardinal, by Pietro Mengoli, is a significant work in the history of mathematics. Published in 1675, this treatise explores the fundamental principles of arithmetic and number theory. Mengoli’s rigorous approach and innovative ideas contributed to the advancement of mathematical knowledge during the 17th century. This edition offers valuable insights into the mathematical thought of the period and the intellectual environment fostered by figures like Leopoldo de’ Medici. 'Arithmetica Realis' remains an important historical document for scholars and anyone interested in the evolution of mathematical science.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.