Franklin: Record - Christian Cramers regnebog [manuscript].

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Christian Cramers regnebog [manuscript].

Online

  • Facsimile
    http://hdl.library.upenn.edu/1017/d/medren/5648219
Author/Creator:
Jensen, Christen, 1767-1838, compiler.
Publication:
[Jutland], 1792.
Format/Description:
Manuscript
634 leaves : paper, col. ill. ; 200 x 150 (165 x 125-130) mm. bound to 213 x 185 mm. + 1 note.
Subjects:
Algebra -- Early works to 1800.
Arithmetic -- Early works to 1900.
Geometry -- Early works to 1800.
Mathematics -- Early works to 1800.
Flowers -- Pictorial works -- Early works to 1800.
Gardens -- Design -- Early works to 1800.
Illumination of books and manuscripts -- Technique.
Form/Genre:
Codices.
Diagrams.
Pen-and-wash drawings.
Manuals (instructional materials)
Treatises.
Manuscripts, Danish -- 18th century.
Manuscripts, European.
Language:
Danish, with occasional words in Latin.
Biography/History:
Danish schoolmaster who as a young man worked as a gardener and grafter; born in Vadum in northern Jutland; worked in Ouegaard, Wive, and Valsgaard; death recorded at the Valsgaard church.
Summary:
Collection of copies of late 18th-century editions of the mathematical, arithmetical, and geometrical works of the Danish mathematician Christian Cramer, followed by a copy of a 1648 edition of a Danish translation of the Illuminierbuch by Valentin Boltz, illustrated with pen-and-wash drawings of flowers and plans of garden elements, such as flowerbeds or lawns and paving or tiling. After the binding of the manuscript in 1794, the compiler added a note about the binding of the book and autobiographical notes beginning with his birth in 1767 on the front flyleaves, continuing to add significant events through 1825 (f. i verso-ii verso). In 1806 he added more notes, possibly a poem, to the end of the manuscript (f. 632r).
Contents:
1. f.i verso-ii verso: [Autobiographical notes] / Christen Jensen.
2. f.1r-79v: Christian Cramers Colloquium Arithmeticum, eller Veiviisninger, i Regnekonstens Grunde ved Spørsmaal og Gjensvar.
3. f.80r-150r: Christian Cramers Anviisning til at føre sig de paa Dansk udkomne Skrifter om Mathematiquens Grunde til Nytte, hvorved anføres Decimal og Triangel-Regning.
4. f.151r-387v: Arithmetica Tyronica, eller Grundig Veiviisning, practice at lære ald fornøden Huus- og Handels-Regning / udgiven af Christian Cramer.
5. f.388r-436r: Algebra Tyronica, Første Part, I hvilken Algebra numerosa saa udførlig og tydelig forestilles, at begyndere derved kand være deres egen Lærere : Og saaledes indrettet At endog Algebra eller Løse-Konsten kand være til Nytte i Regne- og Skrive-Skoler / udgiven af Christian Cramer.
6. f.437r-506v: Algebra Tyronica, Anden Part / Christian Cramer.
7. f.507r-574v: Geometria Tyronica, eller Maale-Konst for Børn eller Begyndere, i hvilken indeholdes de til Maale-Konstens Praxin behøvende Regninger, saasom Extractionen, Decimal- og Triangel-Regning : til Kiøbsted - og Skoelers Brug / udgivet af Christian Cramer.
8. f.575r-631v: En Ny oc Konstrig Illuminer-Bog : Det er, Hvorledis konsteligen er at giøre oc berede alleslags Farffver, som er meget lystig oc gaffnlig at vide for Skriffvere, Malere oc andre som elske saadan Konst, sampt nogle nye tilsatte Konst-stycker som tilforne aldrig ere udgangne paa Prent / [Valentinum Bolten aff Rufach]
9. f.632r: [Additional notes] / Christen Jensen.
Notes:
Ms. codex.
Title for manuscript from spine; titles for component works from title pages (f. 1r, 80r, 151r, 388r, 507r, 575r).
Foliation: Paper, 634; [i-ii, 1-79 (paginated 1-158), 80-149 (paginated 1-140), 150-151, 152-372 (paginated 1-14, 1-428), 373-387 (paginated 1-30), 388-435 (paginated 1-96), 436, 437-504 (paginated 1-136), 505-506, 507-570 (paginated 1-128), 571-632]; contemporary pagination for individual works in ink, upper outer corners; modern foliation in pencil, lower right recto. References in this record are to modern foliation.
Layout: Text written in 21-29 long lines; some pages of problem sets are written in 2 columns (for example, f. 208r-214v); frame-ruled in ink with double bounding lines; horizontals ruled in lead for some section titles.
Script: Written in cursive script, with calligraphic section headings, by Christen Jensen.
Decoration: 6 title pages with pen-and-wash floral borders and titles in colored inks (f. 1r, 80r, 151r, 388r, 437r, 507r, 575r); numerous additional pen-and-wash botanical drawings in last work (f. 576r-591r, rectos only); numerous garden plans in ink, some with watercolor washes, in last work (f. 592r-631r); drawing in ink of garden equipment (f. 626r); mathematical diagrams, some on foldouts (f. 150r, 573r) and some with colored washes (for example, f. 505r, 516v-525v, 542r-549v, 571r-574v).
Binding: Contemporary Danish calf over wooden boards, one strap and one catch left from the original pair; spine label Christian Cramers regne-bog, Christen Jensen; paid for by Jensen in 1794 (inscription, f. i verso).
Origin: Written in northern Jutland, Denmark, in 1792, with later additions to 1825.
Provenance:
Sold by Justin Croft Antiquarian Books (Faversham, England), March 2012 catalog, no. 15.
Cite as:
UPenn Ms. Codex 1624
Contains:
Cramer, Christian, 1699-1764. Colloquium Arithmeticum, eller Veiviisninger, i Regnekonstens Grunde ved Spørsmaal og Gjensvar.
Cramer, Christian, 1699-1764. Anviisning til at føre sig de paa Dansk udkomne Skrifter om Mathematiquens Grunde til Nytte, hvorved anføres Decimal og Triangel-Regning.
Cramer, Christian, 1699-1764. Arithmetica Tyronica, eller Grundig Veiviisning, practice at lære ald fornøden Huus- og Handels-Regning.
Cramer, Christian, 1699-1764. Algebra Tyronica. Første Part.
Cramer, Christian, 1699-1764. Algebra Tyronica. Anden Part.
Cramer, Christian, 1699-1764. Geometria Tyronica, eller Maale-Konst for Børn eller Begyndere, i hvilken indeholdes de til Maale-Konstens Praxin behøvende Regninger, saasom Extractionen, Decimal- og Triangel-Regning : til Kiøbsted - og Skoelers Brug.
Boltz, Valentin, d. 1560. Illuminierbuch. Danish.