The passage discusses the concept of "aspect" in the context of surfaces and geometry, emphasizing its broader application beyond just planes. It explains that every point on a surface has an aspect, which is the direction of the normal at that point. The author argues that this concept is fundamental to the science of surfaces and can be used to define and understand various properties of surfaces, such as planes and lines. The use of "aspect" is not entirely new, with historical references to it in works like Sir W. R. Hamilton's "Lectures on Quaternions." The author also discusses the importance of this concept in geometry and its potential to simplify the construction of geometric proofs. Additionally, the passage touches on the cause of low barometric pressure in polar regions, clarifying that the lowest pressures are not at the poles but near Iceland and the Aleutian Islands. It attributes this to the low temperatures in these regions, which prevent the formation of extreme depressions. The author also mentions the influence of temperature on the course of Atlantic storms across European Russia and the general understanding of barometric depressions in southern latitudes. Finally, the passage includes a discussion on the symbols used to denote acceleration in mechanics, suggesting that Newton's Fluxions notation, such as \(\dot{x}\), is more appropriate and easier for students to learn compared to the symbols used in Wernick's book.The passage discusses the concept of "aspect" in the context of surfaces and geometry, emphasizing its broader application beyond just planes. It explains that every point on a surface has an aspect, which is the direction of the normal at that point. The author argues that this concept is fundamental to the science of surfaces and can be used to define and understand various properties of surfaces, such as planes and lines. The use of "aspect" is not entirely new, with historical references to it in works like Sir W. R. Hamilton's "Lectures on Quaternions." The author also discusses the importance of this concept in geometry and its potential to simplify the construction of geometric proofs. Additionally, the passage touches on the cause of low barometric pressure in polar regions, clarifying that the lowest pressures are not at the poles but near Iceland and the Aleutian Islands. It attributes this to the low temperatures in these regions, which prevent the formation of extreme depressions. The author also mentions the influence of temperature on the course of Atlantic storms across European Russia and the general understanding of barometric depressions in southern latitudes. Finally, the passage includes a discussion on the symbols used to denote acceleration in mechanics, suggesting that Newton's Fluxions notation, such as \(\dot{x}\), is more appropriate and easier for students to learn compared to the symbols used in Wernick's book.