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- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/10%3A_Appedices
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/00%3A_Front_Matter/02%3A_InfoPageThe LibreTexts libraries are Powered by MindTouch ® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the Californ...The LibreTexts libraries are Powered by MindTouch ® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/10%3A_Appedices/10.01%3A_Appendix_A-_Problems_for_the_ReaderThis problem deals with the same mutilated rectangle as #4 of the same tablet (see page 79): Together, indeed, the four problems of the tablet represent an in teresting variant of the closed group whe...This problem deals with the same mutilated rectangle as #4 of the same tablet (see page 79): Together, indeed, the four problems of the tablet represent an in teresting variant of the closed group where the "surface" of a rectangle is given together with the length; with the width; with the sum of the sides; or with their difference (see note 3, page 108).
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/01%3A_Introduction-_The_Issue__and_Some_Necessary_Tools/1.02%3A_The_First_Algebra_and_the_First_InterpretationAs we see, the method is based on addition, to both sides of the equation, of the square on half the coefficient of the first-degree term —here . That allows us to rewrite the left-hand side as the sq...As we see, the method is based on addition, to both sides of the equation, of the square on half the coefficient of the first-degree term —here . That allows us to rewrite the left-hand side as the square on a binomial:
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/05%3A_Application_of_Quasi-algebraic_Techniques_to_Geometry/5.03%3A_New_PageThe small problem that precedes is extracted from a tablet containing some 40 problems on subdivisions of a square with side 1 uš = \(1`\) \(\mathrm{NINDAN}\)—the surviving fragments of the tablet con...The small problem that precedes is extracted from a tablet containing some 40 problems on subdivisions of a square with side 1 uš = \(1`\) \(\mathrm{NINDAN}\)—the surviving fragments of the tablet contain 31 problems. The above text does not explain the procedure—none of the problems on the tablet do so. It is no less evident that the technique used to calculate the coefficients in the problem BM 13901 #10 (page 46) will also serve here.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/01%3A_Introduction-_The_Issue__and_Some_Necessary_Tools/1.04%3A_Concerning_the_Texts_and_the_TranslationsIn as far as possible the translations respect the non-technical meanings of the Babylonian words (for instance “breaking” instead of “bisecting”) and the relation between terms (thus “confront itself...In as far as possible the translations respect the non-technical meanings of the Babylonian words (for instance “breaking” instead of “bisecting”) and the relation between terms (thus “confront itself” and “confrontation”—while “counterpart” had to be chosen unrelated of the verbal root in order to respect the use of the same word for the copy of a tablet).
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/03%3A_The_Fundamental_Techniques_for_the_Second_Degree/3.03%3A_New_PageWhen \(3^{\circ} 30^{\prime}\) is joined to \(8^{\circ} 30^{\prime}\) in the construction of the igibûm, this is not the case: if one magnitude stays in place and the other is displaced it is always t...When \(3^{\circ} 30^{\prime}\) is joined to \(8^{\circ} 30^{\prime}\) in the construction of the igibûm, this is not the case: if one magnitude stays in place and the other is displaced it is always the latter that is “joined.” Differently from our addition and the “heaping” of the Babylonians, “joining” is no symmetric operation.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/04%3A_Complex_Second-degree_Problems/4.03%3A_New_PageEverything else, however—that is, that the area of the field is known before it is measured, and also the ways to indicate the measures of the pieces that break off from the reed—shows which ruses the...Everything else, however—that is, that the area of the field is known before it is measured, and also the ways to indicate the measures of the pieces that break off from the reed—shows which ruses the Old Babylonian school masters had to make use of in order to produce second-degree problems having some taste of practical life.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/02%3A_Techniques_for_the_First_Degree/2.02%3A_TMS_VII_2As in the first problem of the text, a solution to the homogeneous equation is found by identification of the factors “to the left” with those “to the right” (which is the reason that the factors have...As in the first problem of the text, a solution to the homogeneous equation is found by identification of the factors “to the left” with those “to the right” (which is the reason that the factors have been inverted on the left-hand side of the last equation): \(\ell-1^{\prime} 40^{\prime \prime}\) (now called “the length” and therefore designated \(\lambda\) in Figure 2.8 thus corresponds to \(5^{\circ} 40^{\prime}\), while \(\ell+w+5^{\prime}\) (referred to as “the heap” of the new length \(\l…
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/07%3A_The_Background/7.03%3A_The_Second_Purpose-_Professional_PrideFrom the Renaissance and for centuries, Latin(and "Latinity" as an emblem of elite culture) was part of the self-confidence of European adminsitrative and juridical institutions; from that point of vi...From the Renaissance and for centuries, Latin(and "Latinity" as an emblem of elite culture) was part of the self-confidence of European adminsitrative and juridical institutions; from that point of view, the mathematical formation of engineers was seen (by those who were in possession of Latin culture and had adopted its norms) rather as proof of cultural and moral inferiority.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Book%3A_Algebra_in_Cuneiform_(Hyrup)/03%3A_The_Fundamental_Techniques_for_the_Second_Degree/3.01%3A_New_PageD: \(15^{\prime}\) to \(45^{\prime}\) you join: 1. \(15^{\prime}\) is the area of the square held by the two halves (\(30^{\prime}\) and \(30^{\prime}\)), and \(45^{\prime}\) that of the gnomon. In th...D: \(15^{\prime}\) to \(45^{\prime}\) you join: 1. \(15^{\prime}\) is the area of the square held by the two halves (\(30^{\prime}\) and \(30^{\prime}\)), and \(45^{\prime}\) that of the gnomon. In the present case, the text thus tells us that the side of the completed square is 1, as indicated in D immediately to the left of the square.