3. A person said he owed to Zaid 10 all but the square-root of what he owed to Amir, and that he owed Amir 5 all but the square-root of what he owed Zaid. 4. To divide a cube number into two cube numbers. 5. To divide 10 into two parts such, that if each is divided by the other, and the two quotients are added together, the sum is equal to one of the parts. 6. There are three square numbers in continued geometric proportion, such, that the sum of the three is a square number. 7. There is a square, such, that when it is increased and diminished by its root and 2, the sum and the difference are squares.--KHULASAT-AL-HISAB. _Algebra; quoted in Hutton: A Philosophical and Mathematical Dictionary (London, 1815), Vol. 1, p. 70._ =1739.= The solution of such questions as these [referring to the solution of cubic equations] depends on correct judgment, aided by the assistance of God.--BIJA GANITA. _Quoted in Hutton: A Philosophical and Mathematical Dictionary (London, 1815), Vol. 1, p. 65._ =1740.= For what is the theory of determinants? It is an algebra upon algebra; a calculus which enables us to combine and foretell the results of algebraical operations, in the same way as algebra itself enables us to dispense with the performance of the special operations of arithmetic. All analysis must ultimately clothe itself under this form.--SYLVESTER, J. J. _Philosophical Magazine, Vol. 1, (1851), p. 300; Collected Mathematical Papers, Vol. 1, p. 247._ =1741.= Fuchs. Fast möcht’ ich nun _moderne Algebra_ studieren. Meph. Ich wünschte nicht euch irre zu führen. Was diese Wissenschaft betrifft, Es ist so schwer, die leere Form zu meiden, Und wenn ihr es nicht recht begrifft, Vermögt die Indices ihr kaum zu unterscheiden. Am Besten ist’s, wenn ihr nur _Einem_ traut Und auf des Meister’s Formeln baut. Im Ganzen--haltet euch an die _Symbole_. Dann geht ihr zu der Forschung Wohle Ins sichre Reich der Formeln ein. Fuchs. Ein Resultat muss beim Symbole sein?