Geodesic Bibliography

## Errors

• Title page: replace “Brockardt” by “Borchardt”.
• p. ix, paragraph 1, line 6: replace “aequtionen differentiales partiellen primi ordinus” by “aequationes differentiales partiales primi ordinis”.
• p. ix, paragraph 2, line 2: replace “nad” by “and”.
• p. ix, paragraph 2, line 3: replace “Borckhardt” by “Borchardt”.
• p. ix, paragraph 2, line 5: replace “Brochardt's” by “Borchardt's”.
• p. 15, half-way down: insert a space after “although”.
• p. 56, before equation (7.4), replace “m” by “$$m$$”.
• p. 62, first paragraph: replace “Mecanique Analytique” by “Mécanique analytique”.
• p. 121, equations in the middle of the page: the corresponding terms should be aligned by inserting extra space after the equal signs of the second and following equation.
• p. 123, second equation: replace “$$ddx$$” by “$$dx$$”
• p. 124, last equation: remove the commas from the summand.
• p. 125, first set of equations: the layout makes a nonsense of the terms, in particular, line breaks (if they are needed) should be at commas not plus signs; if possible, revert to the original layout and alignment.
• p. 152: insert spaces in “p.147” and after commas in three other places.
• p. 159, two-thirds of the way down: replace “$$p_i^0$$” by “$$p_i^\circ$$”.
• p. 184, 5th line: insert a space after “independent.”.
• p. 204, equation (24.7): remove the periods following “$$\cos J$$”.
• p. 220, two-thirds of the way down: insert comma after “increases further to $$+\infty$$”.
• p. 221, equation (S): insert commas after the first two sub-equations.
• p. 221, equation (S1), second sub-equation: the second term in the sum on the left hand side should include a factor “$$x_2^2$$”.
• p. 222, equation (S2): remove braces at the ends of the first two sub-equations; remove ellipses at the end of the right hand side of the first sub-equation; in the last sub-equation replace “$$(a_1+\lambda_3)$$” by “$$(a_1+\lambda_n)$$” and “$$(a_{n-2}+\lambda_3)$$” by “$$(a_{n-2}+\lambda_n)$$”.
• p. 222, equation (26.2), second sub-equation: replace “$$(a_2+\lambda_{m-1})(a_2+\lambda_m)$$” by “$$(a_2+\lambda_{n-1})(a_2+\lambda_n)$$”.
• p. 223, footnote: replace “Berelini” by “Berolini”; replace “p.3 f.f” by “p. 3ff.”.
• p. 224, line 2: replace “not up to” by “not to”.
• p. 224, numerator of displayed equation following equation (26.5): replace “$$(a_m+\lambda_m)$$” by “$$(a_m+\lambda_n)$$.”.
• p. 226: replace “(8*)” by “(26.8*)” in three places.
• p. 226, 3rd line after equation (26.8*): remove the parantheses from “$$(a_1+\lambda)$$”, etc.
• p. 226, 3rd last line: replace “(24.4)” by “(26.4)”.
• p. 227: replace “$$x_1^{\prime^2}$$” by “$$x_1^{\prime2}$$”, “$$\lambda_1^{\prime^2}$$” by “$$\lambda_1^{\prime2}$$”, etc.
• p. 227, equation in the middle of the page: remove the commas preceding the equal sign and following the ellipsis.
• p. 232, last line of equation (27.2): insert “$$+$$” at the beginning.
• p. 232, last paragraph, 3rd line: replace “constant$$\lambda_1$$” by “constant $$\lambda_1$$”.
• p. 232, equation (27.3), first term: in the denominator replace “$$(c_1+\lambda_3)(c_2+\lambda_3)(c_3+\lambda_3)$$” by “$$(a_1+\lambda_3)(a_2+\lambda_3)(a_3+\lambda_3)$$”.
• p. 233, footnote: replace “Exercises” by “Exercices”; replace “fonictiones” by “fonctiones”.
• p. 235, first paragraph, line 3: replace “(p.194)” by “(p. 192)”.
• p. 236: replace “$$x_1^{\prime^2}$$” by “$$x_1^{\prime2}$$”, “$$\lambda_1^{\prime^2}$$” by “$$\lambda_1^{\prime2}$$”, etc.
• p. 236, the line before equation (28.1): remove the comma from “or,”.
• p. 237, the line before equation (28.3): replace “constants” by replace “constant”.
• p. 239, line 2: replace “Lagarange's” by “Lagrange's”.
• p. 239, two-thirds of the way down: replace “$$\mu,\nu$$” by “$$u,v$$”; after the following equation, replace “hold” by “holds” and “similarity-ratio” by “similarity ratio”
• p. 244, the line before the last displayed expression: insert a space after “easily,”.
• p. 245, the line after the first displayed equation: replace “well- known” by “well-known”.

## Formatting problems

• Separate differential quantities from surrounding terms by thin spaces, e.g., on p. 239, “$$m\,ds^2$$”, “$$A\,dp^2$$”, and “$$2B\,dp\,dq$$”.
• Consistently use the style of square root with an overbar; e.g., on p. 239, replace “$$\surd m$$” by “$$\sqrt m$$”; similarly, on p. 240, replace “$$\surd -1$$” by “$$\sqrt{-1}$$”.
• Currently “$$\phi$$” is used in, e.g., §7, while “$$\varphi$$” is used in, e.g., §19; consistently use just one style.
• In several places, the formatting of the equations as been altered from the original, making them less easy to understand; e.g., on p. 221, the terms “$$x_1^2$$”, “$$x_2^2$$”, in equation (S1) and the preceding equation on p. 221 should be moved out of the numerator of the built-up fractions.
• In several places, ellipses in the original have been omitted; e.g., on p. 222, vertical ellipses are missing in equations (S2) and the last set of equations.
• In several places, equations are split between multiple lines making it difficult to see the underlying pattern apparent in the original, e.g., equations (S1) on p. 221, equations (S2) on p. 222, equation (28.1) and the preceding equation on p. 236.
• In several places, terms in the original equations have been included in ellipses making it difficult to see the underlying pattern apparent in the original; e.g., on p. 125, “$$(\partial f_2/\partial x_2)$$” has been omitted from (14.8) and the preceding equation; on p. 224, “$$(a_m + \lambda_2)$$” has been omitted from the 3rd last equation, “$$(\lambda_2 - \lambda_1)$$” from the 2nd last equation, and “$$(\lambda_1 - \lambda_2)$$” and “$$(a_m - a_2)$$” from the last equation; similarly, on p. 225, “$$(a_2 + \lambda_i)$$” has been omitted from the first equation, “$$(\lambda_2 - \lambda_i)$$” from equation (26.6), and “$$x_2^2/(a_2 + \lambda_i)^2$$” and “$$(\lambda_i - \lambda_2)$$” from equation (26.7); similarly on p. 226 and p. 227.
• In some places, a quad space should be use to separate equations, e.g., in the equations at the top of p. 100, in the bottom half of p. 168, near the bottom of pp. 180, 181 and 197, near the middle of p. 227, and near the middle of p. 236.
• In several places, the equals sign is displayed with too much space surrounding it, e.g., in equation (27.2) on p. 232, many of the equations on pp. 80, 95, 100, 167, 168, 172, 179, 197, 198, 236, 237, 240, 241, 242, 243, and 245.
Geodesic Bibliography
Charles Karney <charles@karney.com> (2017-09-30)

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