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Usus Logarithmorum Infinitomii in Theoria aequationum by PRASSE, Moritz von

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$65,000.00

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Seller: Jonathan A. Hill, Bookseller, Inc.

Title: Usus Logarithmorum Infinitomii in Theoria aequationum
Author: PRASSE, Moritz von
Seller: Jonathan A. Hill, Bookseller, Inc. (United States)
Description: 1796. One folding printed table. 1 p.l., 46 pp., one leaf of errata. Large 4to, orig. semi-stiff drab boards (extremities a bit rubbed). Leipzig: C.T. Rabenhorst, 1796. A remarkable discovery: this is essentially a workbook of the young and precocious Carl Friedrich Gauss, signed and dated by him “C. F. Gauss Sept. 7, 1796” on the inner front cover, at which time he was a 19-year old student in Göttingen. Gauss has not only studied the text carefully, making several corrections to the text, but has also made use of two blank pages at the end to carry out exercises (described in detail below). Mathematical manuscripts of Gauss are of the greatest rarity on the market, especially from his early formative years. Moritz von Prasse (1769-1814), was the son of Johann Moritz Prasse, who worked as a mediator in the Seven Years’ War at the Court of Catherine the Great in St. Petersburg (and according to some sources may have been her lover). His service led to his family’s elevation to the nobility on 31 July 1790. Prasse studied mathematics at the University of Leipzig, graduating in 1795, and rising to become professor there in 1799. He became a member of the Jablonowski Society in 1807 and maintained a correspondence on mathematical topics with Goethe. The great geometer August Ferdinand Möbius was among his students. Apart from the present work, his first, he also published De Reticules Cryptographicis (1799), a method of encrypting messages using rotating dials, and a set of Logarithmischen Tafeln in 1810. His extensive library of works on mathematics was bequeathed to his university on his death in 1814. The present work by Prasse is concerned with the “polynomial theorem,” a generalization of the binomial theorem: whereas the binomial theorem gives a series expansion for powers of the sum of two terms, the polynomial theorem treats the sum of any finite (or even an infinite) number of terms. The formula was first proved by Carl Hindenburg (1741-1808), the founder of the modern theory of combinatorics. It has been known at least since the work of Pascal that the coefficients in the binomial expansion can be interpreted as numbers of combinations, and Hindenburg showed that the coefficients occurring in the polynomial theorem also had a combinatorial interpretation. He believed that this result could be used to provide a combinatorial basis for the whole of the theory of functions, and gathered around him a group of disciples, which became known as the “Combinatorial School,” to develop and propagate this idea. This School included Prasse, as well as Johann Friedrich Pfaff, who became Gauss’s teacher after he moved to Helmstedt in 1798. Although the Combinatorial School did not produce the significant advances Hindenburg had hoped for, it “was influential in Germany at the turn of the 19th century and became the basis of the mathematical syllabus of the Prussian gymnasium in the Humboldt educational system.”–Jahnke, p. 265 (see below for citation). In this atmosphere it would have been natural for the young Gauss to have been required to study Prasse’s work, one of the most recently published products of the Combinatorial School. Both of the exercises worked out by Gauss deal, like Prasse’s work, with series expansions. The first exercise develops a series expansion of the indefinite integral of (1 – xn)-½ over the interval from 0 to 1, in increasing powers of 1/n (Gauss does not specify the range of integration but this is evident from the context). Gauss writes down the answer without explanation, presumably because the intermediate steps were so straightforward for him that he was able to carry them out mentally. His answer can be obtained by first expanding (1 – xn)-½ in increasing powers of xn and then integrating term by term. This yields terms involving 1/n + 1, 1/2n + 1, etc, which are then expanded in increasing powers of 1/n using the binomial theorem. Collecting powers of 1/n gives Gauss’s series expansion of the integral. The coefficients of the powers of 1/n in this expansion are themselves infinite series, which Gauss sums by cleverly expressing them as definite integrals, which he then evaluates directly (again Gauss gives no explanation or working, but the integrals can be evaluated by standard methods with which Gauss was obviously very familiar). In the second exercise Gauss obtains a series expansion of ϕ(t + U), where U is a function of another variable u, in increasing powers of u. This can be done using Taylor’s theorem, although this is not quite straightforward as the derivatives of ϕ(t + U) with respect to u have to be evaluated using the chain rule. Again it is evident that the exercise was nevertheless a simple matter for Gauss as the (correct) answer is written down without explanation or any intermediate steps (although there is one correction!). In fact, Gauss is actually treating a multi-variable case: the presence of multiple Σs indicates that he is treating a case in which ϕ is a function of several variables x1, x2,...,xn, but this does not cause him any difficulty. Gauss has also made, as mentioned above, corrections on the following pages: 1, 3, 4, 8, 9, 11, 13, 14, 16, 20, and 21. Fine and fresh condition. Preserved in a handsome black morocco-backed box. With the stamps of the “Gauss-Bibliothek” and the Royal Observatory at Göttingen on title with release stamp date 15 October 1951 on facing endpaper. ❧ Poggendorff II, 518. Tomash Library P108. See H. N. Jahnke, “Algebraic Analysis in Germany 1780-1840” in Historia Mathematica 20, pp. 265-284 for a detailed account of the work of the Combinatorial School.

[Shooting] by ALKEN, Henry; SUTHERLAND, T.

7 to 14 days for delivery

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$6,500.00

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Seller: David Brass Rare Books, Inc.

Title: [Shooting]
Author: ALKEN, Henry; SUTHERLAND, T.
Seller: David Brass Rare Books, Inc. (United States)
Description: London: Thomas Pulser, 1817. A Set of Four Magnificent Hand Colored Aquatint Plates by Henry Alken, Engraved by T. Sutherland ALKEN, Henry. [Shooting]. London: Thomas Pulser, 1 June 1817 [i.e. 1820]. Four Magnificent Hand Colored Sporting Engravings by T. Sutherland after Henry Alken. Elephant folio (16 5/8 x 21 7/8 inches; 423 x 556 mm.). Four magnificent hand colored aquatint plates (image size: 13 x 16 1/2 inches; 330 x 420 mm.). All plates with imprint "Pubd. Jun 1, 1817, by Thos. Pulser, Surrey side Westminster Bridge.' Interleaved with card, some light soiling of margins. The first plate with a tiny inner-margin tear, the second plate with a tiny tear below the imprint, both with almost invisible repairs. The third plate with a two-inch marginal tear (not affecting image) repaired on the verso with tape. The first three plates are watermarked 1820. Mid-to-late nineteenth century half brown morocco over green pebble-grain cloth ruled in gilt. Smooth spine decoratively tooled and lettered in gilt, green marbled endpapers, top edge gilt. Light wear to spine extremities. With the bookplates of Clarence S. Bemens, Joseph Widener and Joel Spitz on front pastedown. A set of large, highly attractive aquatints, closely related to the series published by S. and J. Fuller in 1813, with aquatints by R. Reeve. While two of the plates show top-hatted sportsmen in action, another depicts the shooting party and their dogs taking refreshments under the trees, and in the last they can be seen packing up and 'going-home'. Provenance: Clarence S. Bemens - Joseph Widener - Joel Spitz (purchased from Sessler, Philadelphia, 1954). "Set of four. Aquatints by T. Sutherland. Published, June 1, by T. Pilser (sic), Westminster Bridge Road." (Siltzer). Henry Thomas Alken was born into what became an artistic dynasty. He studied under the miniature painter J.T. Barber and exhibited his first picture (a miniature portrait) at the Royal Academy when he was sixteen. From about 1816 onwards he "produced an unending stream of paintings, drawings and engravings of every type of field and other sporting activity. He is best remembered for his hunting prints, many of which he engraved himself until the late 1830s ... To many, sporting art is 'Alken', and to describe his work or ability is quite unnecessary" (Charles Lane British Racing Prints, pp. 75-76). The Plates: 1. Pheasant Shooting. 2. Refreshing. 3. Cock Shooting. 4. Going Home. Snelgrove Mellon, 46 (p. 21); Siltzer, p. 57; Not in Bobins or Schwerdt.

Life in Paris by CRUIKSHANK, George; CAREY, David

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$1,100.00

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Seller: David Brass Rare Books, Inc.

Title: Life in Paris
Author: CRUIKSHANK, George; CAREY, David
Seller: David Brass Rare Books, Inc. (United States)
Description: London: Printed for John Fairburn...Sold by Sherwood, Neely, and Jones [et al], 1822. Life, Wherever it Exists in the Shape of Human Character, Is Prolific of Events, and Full of the Materials of Amusement..." [CRUIKSHANK, George, illustrator]. CAREY, David. Life in Paris. Comprising the Rambles, Sprees, and Amours, of Dick Wildfire., of Corinthian Celebrity, and His Bang-Up Companions, Squire Jenkins and Captain O'Shuffleton; With the Whimsical Adventures of the Halibut Family; Including Sketches of a Variety of other eccentric Characters in the French Metropolis. London: Printed for John Fairburn... Sold by Sherwood, Neely, and Jones [et al], 1822. First edition, early issue, bound without the half-title and the "To the Binder" leaf at rear. Octavo (8 5/16 x 5 inches; 211 x 127 mm). [iii]-xxiv, 489, [1, blank] pp. twenty-one hand-colored aquatint plates including frontispiece. Twenty-two black and white woodcut text illustrations. Plates watermarked Whatman 1821 & 1822. Some of the plates very slightly soiled and some with minor expert marginal repairs, color plate facing page 304 very slightly just touching title. Overall an excellent copy of this uncommon Cruikshank title. Late twentieth century full maroon morocco, covers double-ruled in gilt, spine with five raised bands decoratively tooled and lettered in gilt in compartments, gilt board edges and turn-ins, marbled end-papers, all edges gilt. Although unsigned the binding is of very high quality. "One of the best imitations of Pierce Egan's Life in London, 1821... which had plates by Robert and George Cruikshank, the plates in this work being by George only. The frontispiece or engraved title here is similar in conception to that of Life in London" (Abbey, Travel). Abbey, Travel, 112. Cohn 109. Tooley 129.

Original Drawing Signed by FINSTER, HOWARD

4 to 10 days for delivery

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$1,210.00

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Seller: Schulson Autographs

Title: Original Drawing Signed
Author: FINSTER, HOWARD
Seller: Schulson Autographs (United States)
Description: Born in rural Alabama, Finster was a self taught artist and Baptist revivalist minister. He believed God told him to paint religious art. His became a prolific painter of imaginary artworks incorporating cultural figures into his fantastical imagery. We offer a line drawingi n black ink of an imaginary bird with a branch in its mouth. Finster has signed with a large signature under the bird, "Howard Finster." Our drawing on off white heavy stock paper with green painted deckled edge measures 13 x 9 5/8 inches.

Belva Lockwood Autograph Quotation Signed by LOCKWOOD, BELVA

4 to 10 days for delivery

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$963.00

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Seller: Schulson Autographs

Title: Belva Lockwood Autograph Quotation Signed
Author: LOCKWOOD, BELVA
Seller: Schulson Autographs (United States)
Description: Appreciate and enjoy all of the privileges that you have to-day without waiting for to-morrow. Belva A. Lockwood." The quotation measures 7 3/4 x 1 1/2 inches, possibly cut from a larger sheet, with explanatory docketing on verso in pencil in a fine hand. Lockwood's importance as one of America's first female lawyers, social reformer and first female presidential candidate is now well known. She is considered one of the leaders in the women's rights movement with her focus on the legal profession. Lockwood graduated from what is today the George Washington University Law School, although she had to seek the aid of then Pres. Theodore Roosevelt before the law school would grant her degree. She went on to become the first woman to practice before the US Supreme Court after she was admitted, through an Act of Congress, to the Supreme Court Bar in 1879. Lockwood ran for US President in 1884 and 1888 on the National Equal Rights Party ticket and became the first woman to be included on an official presidential election ballot. Lockwood was also an essayist particularly on the topics of women's suffrage, equal rights and world peace. Belva Lockwood was inducted into the National Women's Hall of Fame in 1983. Provenance: Walter R. Benjamin Autographs.

Transfer of conditioned responses from trained rats to untrained rats by means of a brain extract. WITH: The transfer of learned behavior from trained to untrained rats by means of brain extracts, I, II. Offprints by Rosenblatt, Frank

7 to 14 days for delivery

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$750.00

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Seller: Jeremy Norman & Co., Inc.

Title: Transfer of conditioned responses from trained rats to untrained rats by means of a brain extract. WITH: The transfer of learned behavior from trained to untrained rats by means of brain extracts, I, II. Offprints
Author: Rosenblatt, Frank
Seller: Jeremy Norman & Co., Inc. (United States)
Description: 1966. Rosenblatt, Frank (1928-71). (1) [with John T. Farrow and William F. Herblin.] Transfer of conditioned responses from trained rats to untrained rats by means of a brain extract. Offprint from Nature 209 (1966). 7, [1]pp. 214 x 142 mm. Without wrappers as issued. With: (2) [with John T. Farrow and Sam Rhine.] The transfer of learned behavior from trained to untrained rats by means of brain extracts, I, II. Offprint from Proceedings of the National Academy of Sciences 55 (1966). 548-555, 787-792pp. 259 x 176 mm. Original printed wrappers. Together 2 items. Fine. Rosenblatt's name underlined in red pencil on both offprints. First Editions, Offprint Issues. Rosenblatt is best known for his Perceptron, the first precisely specified, computationally oriented neural network, and a landmark in artificial intelligence. In the latter part of his career-cut short by his death at age 43-Rosenblatt began experimenting on the transfer of learned behavior in rats via brain extracts. "Rats were taught discrimination tasks such as Y-maze and two-level Skinner box. Then their brains were extracted, and the extracts and their antibodies were injected into untrained rats that were subsequently tested in the discrimination tasks to determine whether or not there was behavior transfer from the trained to the untrained rats. Rosenblatt spent his last several years on this problem and showed convincingly that the initial reports of larger effects were wrong and that any memory transfer was at most very small" (Wikipedia article on Rosenblatt). .

The Fabulous Clipjoint by Brown, Frederic

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$650.00

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Seller: Burnside Rare Books, ABAA

Title: The Fabulous Clipjoint
Author: Brown, Frederic
Seller: Burnside Rare Books, ABAA (United States)
Condition: Very Good
Description: New York: E.P. Dutton & Company, 1947. First Edition. Very Good/About Very Good. First edition. 224 pp. Original cloth. Very Good with foxing to blue cloth, internally bright and clean, in an About Very Good unclipped ($2.50) dust jacket with some edge chips and small tears, dampstain visible on verso. Winner of the third Edgar Award for Best First Novel in 1948.

Trip to Killarney [Manuscript travel diary of Albert J. Perrett] by [Travel diary, School Trip, Ireland]

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$425.00

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Seller: John Windle Antiquarian Bookseller

Title: Trip to Killarney [Manuscript travel diary of Albert J. Perrett]
Author: [Travel diary, School Trip, Ireland]
Seller: John Windle Antiquarian Bookseller (United States)
Description: 1913. Ireland: June 16-18, 1913. Small lined notebook (11x17.5 cm), [56] pp. orange card covers titled by hand, spine reinforced with tape. Approx. 28 pages filled with neat ink manuscript entries, illustrated with four small original sepia photos and a hand-drawn folded map tipped to inside of front cover. Covers a little worn, contents age-toned but entirely legible. § A delightfully detailed record of an amusingly rushed school trip to Ireland made by an English schoolboy in 1913. The boys and several masters departed from Stonehouse in Gloucestershire (it seems likely they attended Wycliffe College prep school), and travelled by train to Fishguard in Wales, and from there by boat to Rosslare Harbour in Country Wexford, Ireland. Then by train, char-a-banc, a governess cart, ponies, and finally boats, they tore across the south of Ireland to Killarney and back in a single day. The dutiful author of the journal prepares for the trip with several lists: "General time-table", "List of required articles" (including "change of socks...cup, soup-plate... rug (if room)", "Things to be noticed" (Waterford Harbour, Mountains, Lakes, Cattle Grazing...), and a very thorough plan for "Meals" (cornflakes, chocolate, bananas, squashed fly biscuits...). The journal itself is neatly written and full of detail, particularly of the various vehicles (Irish trains get a thorough review) and his glimpses of "real Ireland". Four small mounted photos show a bridge in Kerry viewed from a boat, Ross Castle, "A Jaunting Bar" (a kind of horse-drawn carriage), and, happily, "the Author" who appears to be in his early teens. The star of the journal is a large folding map of the trip, carefully hand-drawn and keyed and mounted inside the front cover.

Hoefer Scientific Instruments 1978. [Calendar] by [Two Windows Press]. Coates, Eric [layout]. Dickey, William [calligraphy]. Gray, Don [typography]

7 to 14 days for delivery

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$35.00

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Seller: John Windle Antiquarian Bookseller

Title: Hoefer Scientific Instruments 1978. [Calendar]
Author: [Two Windows Press]. Coates, Eric [layout]. Dickey, William [calligraphy]. Gray, Don [typography]
Seller: John Windle Antiquarian Bookseller (United States)
Description: 1978. San Francisco: Two Windows Press and JPP Graphic Arts Center, 1978. Calendar, 12 x 17 1/8", cover printed in black and red, four color lithographs, terminal ads for Hoefer Scientific Instruments with b&w photos. Staple bound as issued; very good. § First and only edition of this finepress calendar featuring a harmonious collection of art and poetry which corresponds to each season of the year. Poetry includes "There," by Howard Nemerov (1975), "Rural Reflections," by Adrienne Rich (1956), "Zone," by A. R. Ammons (1972), and "Light from Above," by Richard Eberhart (1976). Artists include Tomio Kimoshita, Nathan Oliveira, Andrew Dasburg, David Swanson, and Earl Stroh.

An Introduction to the Literature of Vertebrate Zoology sed Chiefly on the Titles in the Blacker Library of Zoology, the Emma Shearer Wood Library of Ornithology, the Bibliotheca Osleriana, and other Libraries of McGill University, Montreal by Wood, Casey A., ed

4 to 14 days for delivery

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$250.00

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Seller: Michael R. Thompson, Booksellers, ABAA/ILAB

Title: An Introduction to the Literature of Vertebrate Zoology sed Chiefly on the Titles in the Blacker Library of Zoology, the Emma Shearer Wood Library of Ornithology, the Bibliotheca Osleriana, and other Libraries of McGill University, Montreal
Author: Wood, Casey A., ed
Seller: Michael R. Thompson, Booksellers, ABAA/ILAB (United States)
Description: London: Oxford University Press, 1931 First edition of this important reference work. Cloth. Quarto. Light shelfwear. Very good.

An Eye for an Eye [Oeil pour Oeil] (Two original photographs from the 1968 television re-release of the 1957 film) by André Cayatte (director, screenwriter); Vahé Katcha (screenwriter, novel); Curd Jürgens, Folco Lulli, Lea Padovani, Héléna Manson, Robert Porte (starring)

7 to 14 days for delivery

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$85.00

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Seller: Royal Books

Title: An Eye for an Eye [Oeil pour Oeil] (Two original photographs from the 1968 television re-release of the 1957 film)
Author: André Cayatte (director, screenwriter); Vahé Katcha (screenwriter, novel); Curd Jürgens, Folco Lulli, Lea Padovani, Héléna Manson, Robert Porte (starring)
Seller: Royal Books (United States)
Description: Rome: Galatea Film, 1968. Two vintage studio still photographs from the 1968 television re-release of the 1957 film. A surgeon who suggested a woman go to a hospital instead of being treated by him dies at the hospital. Her husband, believing the surgeon to be responsible for her death, seeks revenge. Set in North Africa, shot on location in Spain. 8 x 10 inches. Near Fine.

[LITERATURE] BABYLON REVISTED by F. Scott Fitzgerald; Illustrated by Richard Sparks

5 to 14 days for delivery

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$80.00

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Seller: Black Swan Books, Inc.

Title: [LITERATURE] BABYLON REVISTED
Author: F. Scott Fitzgerald; Illustrated by Richard Sparks
Seller: Black Swan Books, Inc. (United States)
Condition: Near Fine binding
Description: Norwalk: Easton Press, 1991. Full Leather. Near Fine binding. Richard Sparks. Large Octavo; in full dark teal leather with elaborate decorations in green, black and gilt; edged in gilt; with silk moire endpapers; xiv, (2) 3-428 pages; with illustrations by Richard Sparks throughout; some scrapes to the gilt edge. Near Fine binding.

Bust-length cabinet card photograph in formal attire by SCHEIDEMANTEL, Karl 1859-1923

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$75.00

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Seller: J & J Lubrano Music Antiquarians LLC

Title: Bust-length cabinet card photograph in formal attire
Author: SCHEIDEMANTEL, Karl 1859-1923
Seller: J & J Lubrano Music Antiquarians LLC (United States)
Description: From the studio of W. Höffert in Dresden, with decorative studio imprint to lower margin and studio details printed to verso. 166 x 109 mm. Slightly worn and browned. A student of Julius Stockhausen, Scheidemantel was one of Germany's leading baritones. After early years in Weimar, he spent most of his singing career, from 1886 to 1911, at the Dresden Hofoper, with guest appearances in many places including Covent Garden (from 1884). Famous as a Wagnerian singer, he participated in all Bayreuth festivals from 1886 to 1892, where he sang Wolfram, Telramund, Kurwenal, Hans Sachs, Amfortas, and Klingsor. Roles by other composers in which he excelled were Pizzarro, Alfio (Cavalleria rusticana), and Scarpia; he created the roles of Kunrad (Feuersnot) and Faninal (Der Rosenkavalier) for Richard Strauss.

H. G. OLDS: FOTOGRAFIAS 1900-1943.; Idea and selection of photographs: Luis Priamo

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$60.00

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Seller: Beverly Karno Books LLC

Title: H. G. OLDS: FOTOGRAFIAS 1900-1943.; Idea and selection of photographs: Luis Priamo
Seller: Beverly Karno Books LLC (United States)
ISBN: 9789509837089
Description: Buenos Aires: Ediciones Fundación Antorchas, 1998. b/w plates (1 color), ports., bibliographical references, ind., pict. wrps. The work of Harry Grant Olds (b. USA 1868 - d. Argentina 1943), Ohio-born photographer who relocated to Argentina in 1899 and lived there until his death in 1943. Much of this relatively unknown, commercial photographer's work was marketed in postcard form. His original negatives show that he concentrated on institutional, documentary and journalistic photography, publicity and landscapes in and around Buenos Aires. SPANISH AND ENGLISH TEXT.

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