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Colleagues:

I would appreciate help from those with this publication in their collection:
        “L’Histoire d’Angleterre”, Paul de Rapin-Thoyras, 1724 and later

with Volume XI, p. 121, containing the map titled,
        “Carte Generale des Royaumes Etats & Domaines, que les Rois & La 
Couronne de la Grande-Bretagne ont Possédez ou Possédent en Europe en Afrique & 
en Amerique”
        
I am studying this map, stated by the sell to have been published circa 1736.

The problem is that the map is impossible. I bought the map as a curiosity 
because it is drafted on a conic projection, which were rarely used at the 
time. When I received the map I wanted to ascertain which specific conic it is. 
I am bemused to report that, with a high degree of confidence, the map is 
drafted on a Lambert conformal conic with standard parallel of 75°.

The problem with this assessment is that the projection and the mathematical 
principles that motivate it were supposedly unknown in 1736. The projection, 
the mathematics for it, and the entire mindset that motivates it, were 
published by Johannes Heinrich Lambert in 1772. Lambert’s treatise is 
considered the seminal work in mathematical cartography. The projection wasn’t 
supposed to be possible before that publication.

My questions:

• Does this map exist in editions of “L’Histoire d’Angleterre” prior to 1772?
• Does the map look substantially like this?
        http://mapthematics.com/Downloads/CarteGenerale.png

Thanks & regards,
— daan Strebe

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