Présentation de l'éditeur
Algebra is the science which reasons about quantities by means of letters of the A lphabet, and certain signs and symbols, which are employed to represent both the quantities themselves, and the manner in which they are connected with others. Thus we might put a to represent 7, and then twice a would represent 14; or we might put a to represent 3, and then twice a would represent 6, three times a, 9, c. 2. The sign ={equal) denotes that the quantities between which it stands are equal to one another. Thus, if a =17, then ttaice a =34. 3. The sign .. stands for tJ ien or therefore, and .for since or hecause. 4. The sign +{plus) denotes that the quantity before which it stands is added, and the sign {minus) that the quantity before which it stands is subtracted. Thus 5+ 3= 8, 5- 3= 2; and if a =3 and 6= 4, then a +6 =3 +4 =7, a+ +2 =3 +4 +2=9, 10-a= 10-3 =7, 10-0-6 =10-3-4 =7-4 =3. The sign ~is used to denote that the less of two quantities is taken from the greater, when it is not known which is the greater. Thus a -6 denotes the difference between a and 6.
(Typographical errors above are due to OCR software and don't occur in the book.)
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