56 BIBLIOGRAPHY OF SIMON NEWCOMB— ARCHIBALD. mEil01 \%^ T xyu, 



14. A School Algebra. (Newcomb's Mathematical Course.) 



New York, Holt [June], 1SS2. S+279 pp. 



There were six other editions or reprints, as follows: Aug., 1SS2; Aug., 18S3; Oct., 1887; Nov., 1S88; 

 March, 18S9; July, 1891. 

 In all editions or reprints, 6,500 copies were printed. 

 Answers were published separately in pamphlet form, for example in 1S*9, 25 pp. 



14A. Key to School Algebra. 



New York, Holt, Aug., 1883, another edition, Aug., 1SS9. 

 Total number of copies printed, 500. 



15. Elements of analytic geometry. (Newcomb's Mathematical course.) 



New York, Holt [August], 18S4. 8+357 pp. 



There were five other editions or reprints published in: Jan., 1885; July, 1SS5; Feb., 1S89; Sept., 1892; 



Apr., 1895. 

 In all editions or reprints the total number of copies printed was 4,000. 

 "Added is a brief course of reading in geometry." Preface. 



16. Essentials of trigonometry, plane and spherical, with three and four place tables, loga- 



rithmic and trigonometric. (Newcomb's Mathematical course.) 

 New York, Holt [October], 18S4. 6+187 pp. 

 There were other editions or reprints in Sept., 1890, 1895, 1899. In all, 1,250 copies were printed; 100 



copies were destroyed by fire. 

 A few pages (167-1S7) were reprinted with cover title by W. H. Lowdermilk and Co., at Washington, 



in 1905, under the title: Three and four place logarithmic and trigonometric tables. 



17. Elements of the differential and integral calculus. (Newcomb's Mathematical course.) 



New York, Holt [September], 1887. 12+307 pp. 

 Other editions or reprints appeared in July, 1SS9, and Sept., 1S92. 

 Tn all editions or reprints, 2,150 copies were printed. 



(c) MISCELLANEOUS. 



18. On a method in dynamics. 



^Ls(r. JL, vol. 5 (Apr. 2, 1S58): 121-127. 

 Dated Feb. 12, 1S5S. 



19. Note on differentiation. 



Math. Mo. (Runkle's), Cambridge, Mass., vol. 1 (Sept., 1S59): 396-397. 



20. On the mathematical theory of heat in equilibrium. 



Math. Mo. (Runkle's), Cambridge, Mass., vol. 2 (July, 1860): 346-354. 



2 1 . Investigation of the dynamical theory of gases. 



Amer. Acad. Proc, Cambridge, vol. 5, 1860-1862 (1S61): 112-114. 



22. [Note on Benjamin Peirce.] 



Nation, New York, vol. 18 (Mar. 5, 1877): 157. 

 Anonymous. 



23. Elementary theorems relating to the geometry of a space of three dimensions and of 



uniform positive curvature in the fourth dimensions. 



Crelle's JL, vol. 83 U877-): 293-299. 



"Full extracts of this very important contribution to noneuclidean geometry are given in the Encyclopedia Brilannka, 

 article 'measurement.'" Quotation from no. 4, Section I of this bibliography. 



24. Note on a class of transformation which surfaces may undergo in space of more than 



three dimensions. 



Amer. JL Math., vol. 1 (1878): 1-1. 



One of the results found is: " If a fourth dimension were added to space a closed material surface (or shell) could be turned 

 inside out by simple flexure; without either stretching or tearing." 



25. The fundamental definitions and propositions of geometry with special reference to the 



syllabus of the Association for the Improvement of Geometrical Teaching. [A. I. G. T.] 

 Nature, vol. 21 (1880): 293-295. 



26. Show that 



log(l-y^cosx")=-7, 2 + | 4 -|+ • • • -2, cosz-i2», 2 cos2x 



-±2ij»cos3x-. • •= 2 Thus: (-1) '4-- 2 4-cosix 

 6 i=i ^ i=i i> 



Math. Questions with solutions from the Educ. Times, London, vol. 36 (1881): 116; Question no. 6859. 



