The Solution of the Pyramid Problem; or, Pyramid Discoveries: With a New Theory as to their Ancient Use

"The Solution of the Pyramid Problem; or, Pyramid Discoveries" by Robert Ballard is a scientific publication written in the late 19th century. This work presents a new theory on the ancient purpose and construction of the pyramids at Giza, focusing on their geometric proportions and uses as surveying instruments for the land. Ballard, an engineer, aims to provide a detailed analysis of the pyramids' architectural features, suggesting they were designed for practical utility beyond mere burial tombs. At the start of the book, Ballard expresses his conviction that the Pyramids of Giza were primarily built for significant practical purposes, particularly in surveying and measurement. He introduces the key structures, namely the pyramids of Cheops, Cephren, and Mycerinus, and provides insights into their geometric layout, emphasizing the relationships between various angles and ratios inherent in their design. Using a combination of historical mathematics and his own calculations, he sets out to explore the intentional geometries that reflect the builders' advanced understanding of spatial relationships, implying the ancient Egyptians possessed remarkable engineering and surveying knowledge.