Style Guide

There are no fees for submitting, processing, or publishing your work with Euleriana. We use a review process that is as anonymous as we can make it. When submitting to Euleriana, please send an anonymized PDF file that has been generated via a word processor or TeX—remove all identifying information from the file (even from the metadata, such as when the author is listed under Properties or Preferences). The author and/or translator name(s) will be included after the blind review process is complete.

General Formatting Guidelines

  • Do not include page numbers, headers, or footers. These will be added by the editors.
  • Submit your manuscript, including tables, figures, appendices, etc., as a single file when possible (Word, RTF, or PDF files are accepted). If figures are included, use high-resolution figures, preferably encoded as encapsulated PostScript (eps).
  • Page size should be 8.5 x 11 inches, and all margins (left, right, top and bottom) should be 1.5 inches (~3.8 cm), including your tables and figures.
  • Single space your text, and use a single column layout with both left and right margins justified.
  • Indent all paragraphs except those following a section heading. An indent should be approximately 0.3 inches (~0.8 cm).
  • Do not insert extra space between paragraphs of text, with the exception of long quotations, theorems, propositions, special remarks, etc. These should be set off from the surrounding text by additional space above and below. Block quotations, if they are set apart from the paragraph, do not need to be enclosed in quotation marks.
  • Don't "orphan" any portion of the text (i.e., ending a page with the first line of a paragraph or beginning a page with the last line of a paragraph).
  • For files generated in MS Word:
    • Main body: 11pt Calibri or the closest comparable sans serif font available
    • Title: 18pt Calibri or the closest comparable sans serif font available
    • Section heading: 14pt Calibri or the closest comparable sans serif font available
    • Abstract, captions, and footnotes: 10pt Calibri or the closest comparable sans serif font available
    • For fixed-width font: Courier New or the closest comparable font available (-1pt size from surrounding text)
  • For files generated in LaTeX, please use one of the templates below:
    • Articles, Commentaries, Reviews, Notes (TeX, PDF), Word
    • Translations (sample files coming soon)
Note: All text should be fully-justified where possible (i.e., flush with the left and right margins, except where indented). "Where possible" refers to the quality of the justification. For example, LaTeX and TeX do an excellent job of justifying text. Word does a reasonable job. But some word processors do a lousy job (e.g., they achieve right justification by inserting too much white space within and between words). We prefer flush right margins. However, it is better to have jagged right margins than to have flush right margins with awkward intra- and inter-word spacing. Make your decision on whichever looks best.

Style Guidelines

  • Do not include a title page. Instead, begin the document with the title, author name(s) and contact information, then an abstract, followed by the manuscript itself. (Note: articles in the Reviews category do not require abstracts.)
  • When referring to an historical work, the title should be given in both the original language and in English translation. Thereafter, the work may be referred to by the first few words of its original title; Euler’s works should be referred to by Eneström index number. Letters from Euler’s correspondence that do not appear in the Eneström index should be numbered using Opera Omnia indexing conventions.
  • In general, events occurring in the past should be written in the past tense. However, a narration of an historical text may be written in the present tense. Exceptions and special circumstances should be indicated in a note to the editors upon submission.
  • Historical individuals who feature prominently in the manuscript should have dates of birth and death provided (in parentheses) when they are first mentioned. Subsequent mentions (and less-prominent individuals) do not require dates.
  • The original equation format should be retained, when possible. For example, an equation that is centered on its own line in an historical text should be formatted that way in any transcription, translation, or quotation. Whenever possible, non-English terms, titles of books, titles of movies, etc., should be set in italics rather than underlined. Article titles should be placed within "quotation marks." The use of color to emphasize text is discouraged. Please ensure that there are no colored mark-ups or comments in the final version, unless they are meant to be part of the final text. (You may need to "accept all changes" in track changes or set your document to "normal" in final markup.)

Language & Grammar

Authors should strive to use standard English grammar. The Elements of Style by William Strunk, Jr. and E. B. White (now in its fourth edition) is the "standard" guide, but other excellent guides (e.g., The Chicago Manual of Style, University of Chicago Press) exist as well.

Tables, Figures, Footnotes

To the extent possible, tables and figures should appear in the document near where they are referenced in the text. Large tables or figures should be put on pages by themselves. Avoid the use of overly small type in tables. In no case should tables or figures be in a separate document or file. All tables and figures must fit within 1.5" (~3.8 cm) margins on all sides (top, bottom, left and right) in both portrait and landscape view.

Footnotes should appear at the bottom of the page on which they are referenced rather than at the end of the paper. Footnotes should be in 10pt Calibri or closest comparable font available, they should be single-spaced, and there should be a footnote separator rule (line). Footnote numbers or symbols in the text must follow, rather than precede, punctuation. Excessively long footnotes are probably better handled in an appendix. All footnotes should be left and right-justified (i.e., flush with the margins), unless this creates awkward spacing.

Additional Guidelines for Translators

  • On the first page, include the original title, translated title, and attribution to the original author. (Also, include the full citation of the original work in a footnote.)
  • Unless the work’s original title is uniquely well-known, use the English title of the work as the "official title" of the translation, with original source’s title and publication history in a footnote. This is to ensure a consistent indexing of articles.
  • If there is a factual or typographical error in the original work, it should be retained. However, all errors should be identified and corrected in the footnotes. (Exceptions to this policy may be made in special circumstances, e.g., when the original text contains numerous errors.)
  • When the author refers to previous works, a full citation of that work should be included in a footnote or the bibliography. If a reference to a work is unclear, that should be indicated in a footnote.
  • For translations out of Latin: Since the audience may include many mathematicians who are not able to read the original Latin versions, and since the content is not literary, translations need not be exactly literal. For example, it’s acceptable not to translate:
    • Forms of to be (esse) or to become (fieri) when used with the equals sign in math formulas.
    • Personal pronouns (ipse, iste, is, hic, etc.) when they are used with a variable name in order to provide the correct grammatical case for that variable. "Valor x ipsius = value of x" ("itself" is not necessary)
    • etc.
For translations of Euler's works, please include a one- to two-paragraph summary of the work with your submission, for use on the Euler Archive. This should take the form of an extended version of an abstract.


Roman letters used in mathematical expressions as variables should be italicized. Roman letters used as part of multi-letter function names should not be italicized. Whenever possible, subscripts and superscripts should be a smaller font size than the main text.

Short mathematical expressions should be typed inline, unless this conflicts with the formatting of a translated source (see above). Longer expressions should appear as display math. Expressions using many different levels (such as fractions) should be set as display math. Important definitions or concepts can also be set off as display math.

If numbered, equations should be numbered sequentially. Whether equation numbers are on the right or left is the choice of the author(s), though you should be consistent in this.


Within the text of your manuscript, use a bracketed method of citation. For instance, "As noted by Smith [2]." When there are two authors, use both surnames. For instance, "Edlin and Reichelstein [5] claim . . . " When there are three or more authors, use et al., as in "Abel, et al. [3]."

The author is obligated to provide complete references with the necessary information. After the last sentence of your submission, please insert a line break—not a page break—and begin your references on the same page, if possible. References should appear immediately after the end of the document, beginning on the last page. In general (with some notable exceptions), the Mathematical Association of America (MAA) citation reference guide should be followed for submissions to Euleriana. Specifically, each reference should give the surnames of all the authors, their given names or initials, and, optionally, their middle initials. The hierarchy for ordering the references is:

  1. Surname of first author
  2. Given name or initial of first author
  3. Surname of second author (if any). Co-authored work is listed after solo-authored work by the same first author (e.g., Edlin, Ariana would precede Edlin, Ariana and Reichelstein, S. T.).
  4. Given name of second author
  5. Publication date
  6. Order cited in text
The information to be given with each citation in the references is as follows.

Articles in traditional journals:

Required: Author's (authors') name(s), year of publication (or "n.d." if no date), title of article, name of journal, volume number, page numbers.

Optional (but desirable): issue number and month/season of publication. For forthcoming (in press) articles, put expected year of publication and substitute "forthcoming" for the volume and page numbers.

Optional(but desirable): A hyperlink to the article.


Required: Author's (authors') name(s), year of publication (or "n.d." if no date), title of book, edition (if not first), publisher's location, publisher. For forthcoming (in press) books, put expected year of publication and add "forthcoming."

Chapters in collections or anthologies:

Required: Name(s) of author(s) of chapter, year of publication (or "n.d." if no date), title of chapter, name(s) of editor(s) of book, title of book, edition (if not first), publisher's location, publisher. For forthcoming (in press) books, put expected year of publication and add "forthcoming."

Working papers:

Required: Author's (authors') name(s), year (or "n.d." if no date), title of working paper, location (e.g., "Department of Economics Working Paper, University of California, Berkeley" or "Author's web site: http://www.someurl.edu/author"). If the working paper is part of series, then the series name and the number of the working paper within the series must also be given.

Historical texts:

The historical nature of some sources requires further elaboration.

  • The original source (in its original language) should form the core of the citation, even if a translation was used by the author. The relevant edition and/or reprinting of the work should also be included in the citation. Citations for all of Euler’s works should include the Eneström index number.
  • If a specific translation was used, this information should be included at the end of the original source’s citation. If the author used an historical source (or its translation) that is available online from a digital repository, this information should be included in the citation.
  • For sources in which the publication year differs from the year of printing (as with many academic journals which were often printed several years after the "official" publication years), use the year of printing in all citations. When relevant, the publication year may be indicated in a footnote following the first citation of the source.
Below are three sample citations of historical works that include the original source as well as relevant translations and reprintings.
  • Agnesi, Maria. (1748). Instituzioni Analitiche ad uso della gioventù Italiana, Vol. 1. Milan: Nella Regia-Ducal Corte. English translation by John Colson (1801) available online at https://archive.org.
  • Euler, Leonhard. (1757). Principes généraux de l’état d’équilibre des fluides (E225), Mémoires de l’académie des sciences de Berlin 11: pp. 217–273. Reprinted in Opera Omnia: Series 2, Vol. 12, pp. 2–53. Original text available online at https://scholarlycommons.pacific.edu/euler/.
  • — (1783). De mirabilibus proprietatibus numerorum pentagonalium (E542), Acta Academiae Scientiarum Imperialis Petropolitanae 1780(I): pp. 56–75. Reprinted in Opera Omnia: Series 1, Vol. 3, pp. 480–496. Original text available online, along with an English translation by Jordan Bell, at https://scholarlycommons.pacific.edu/euler/.
  • Lagrange, J.-L. (1811). Mécanique analytique, Vol. 1, 2nd ed. Paris: V. Courcier. Original text available online at https://babel.hathitrust.org.

Other works:

Required: Author's (authors') name(s), year (or "n.d." if no date), title of work, and information about how the reader could obtain a copy.

Use hanging indents for citations (i.e., the first line of the citation should be flush with the left margin and all other lines should be indented from the left margin by a set amount). Citations should be single-spaced with extra space between citations.

When works by the same author are listed in a row, use and em-dash — instead of writing the name again. Hence, one might have

Smith, Adam: The Wealth of Nations, . . .
—: The Theory of Moral Sentiments, . . . 

Similarly, instead of repeating two names use

"— and —."

For instance,

Edlin, Ariana and Reichelstein, S. T. [1] . . .
— and — [2] . . . 

If there are three or more authors, give the surname of the first author and append et al. For instance, a 1987 work by Abel, Baker, and Charley, would be cited as

"Abel et al. [3]."