The noteworthy findings and innovative methods of predicting projectile trajectory, introduced in my books Exterior A New Approach (EBNA), Xlibris, 2010; and Exterior Ballistics with Applications (EBA3e), Xlibris, third edition, December 2011, require a methodical approach and further development. As result, the amateurs and professionals interested in exterior ballistics of firearms, and especially in long-range shooting with small arms, have a new book, Exterior The Remarkable Methods (EBRM), that aims to enrich the foundations of modern exterior ballistics and to lessen the complexity of physics and mathematics techniques in use. Exterior The Remarkable Methods is a book that combines and develops further the methods introduced in EBA3e, EBNA, and in the Exterior Ballistics of Small Arms (EBSA, Xlibris 2009). The foundations of the book are mainly the findings and the innovative ballistics methods presented in EBA3e and EBNA. The remarkable methods of exterior ballistics presented in this new book The methods of determining the function of resistance G(v) of a given bullet (i=1) using range tables, or the experimental data measurements of three or four coordinates at the points of projectile impact. The model of "Tangent Law of Trajectory Refraction" and the related set of formulas that we use to study the trajectories of projectiles in nonstandard atmosphere. Series expansion method and the techniques of (second to sixth order) parabolas we employ to predict with great accuracy the projectile trajectory. The exceptional Siacci''s methods that we apply as well for the projectile trajectory in nonstandard atmosphere and in inclined shooting combined with the tangent law of trajectory refraction. It is important to note that using the similarity laws of fluid dynamics we have obtained the "tangent law of projectile refraction," which represents a progress with respect to "Newton-Snell''s law" on pro