874 NUMERAL SYSTEMS [ETH. ANN. 19 
TARASCAN OR MICHOACAN FAMILY 
Tarasco* 
1 ma. 6 cuimu.? 11 temben-ma=10+-1. 
2 tziman. 7 yun-tziman=(5)+2. 12 temben-tziman=10-+2. 
3 tanimu. 8 yun-tanimu=(5)+3. 20 macquatze, or maka- 
4 tamu. 9 yun-thamu=(5)+4. tori. 
5 yumu. 10 temben. 
CHIAPANECAN FAMILY 
Chiapanec*® 
1 tige, tique, tiqui, ticao, tighe, or tiche. 8 mahumihi, or hahu-mihi. 
2 hao, jomi, or humihf. 9 helimihi. 
3 haui, jami, or hemihi. 10 henda. 
4 ahau-mihi, ahu-mihi, or haha. 14 henda-mahua. 
5 aomihi, haomo, or haumihi. 15. henda-mu. 
6 amba-mihi, or hamba-mihi. 20 hahua, hahue, ahué, or hahoy. 
7 hendi-mihi. 
TOTONACAN FAMILY 
Totonaca* 
tani: 4 tati. 7 tushun. 10 kau, or cauh. 
2 tuyun. 5 kitsiz. 8 tsayan. 
3 tutu. 6 tehashan. 9 nahatsa. 
Totonaca (Starr)* 
1 tla-ka-tin. 4 la-ka-ta-te. 7 la-ka-to-hon. 10 la-kal-xao. 
2. tla-ka-to. 5 la-ka-ki-tsis. 8 la-ka-tsai-yun. 20 la-ka-po-shan. 
3 tla-ka-to-to™. 6 la-ka-cha-shun. 9 la-ka-na-has. 
Akal’man ( Vera Cruz)® 
1 tam. 9 naxatze. 
2 thoi. 10 kau. 
3 thut. 11 kautam=10-+1. 
thaate. 12 kauthoi=10+2. 
5 kis. 20 pusham. 
6 tchashan. 30 pushamkau=20--10. 
7 taxun. af 40 thoipusham=2> 20. 
<} 
8 tsaxen. 
As the origin of the names for 1 to 4 is a question belonging 
largely to the deductive domain because of the very meager data 
bearing on the subject, it will not be discussed at any length here. 
The reader is, however, referred for an examination of the subject in 
its broad and general aspect to a paper by Professor W J McGee, 
entitled The Beginning of Mathematics, in the American Anthropolo- 
— es 
1 Anales de Museo Michoacan, entraga 1, p. 59, 1888. 
2 Cu, to join or mix one thing with another ’’—N. Leon, Anales de Museo Michoacan, entraga 1,106. 
Basalenque, Arte del Idioma Tarasco, p. 48, says cu refers to the hand. 
Charencey, Mélanges, p. 44; R. F, Guardia, Lenguas Indigenas Cent, Am. en el Siglo, yol. Xvut, p. 86. 
4Grundriss, vol. 11, p. 293. 
6 Notes on Ethnog. South Mexico. 
®A.S. Gatschet, quoting Pinart, American Antiquarian, yol, rv, p. 237 (April-July, 1882). 
