224 JEROME CARDAN. 



that were proposed to you, with your resolution of them, 

 and at the same time the thirty questions that were pro- 

 posed by yourself. 



NICOLO. I cannot do that, because as soon as he shall 

 have one of the said cases with its solution, his excellency 

 will at once understand the rule discovered by me, with 

 which many other rules may perhaps be found, based on 

 the same material. 



ZUAN ANTONIO. His excellency has given me eight 

 questions to give you, praying that you will resolve them 

 for him. The questions are these : 



1. Divide me ten into four parts in continued propor- 

 tion, of which the first shall be two. 



2. Divide me ten into four parts in continued propor- 

 tion, of which the second shall be two. 



***** 



6. Find me four quantities in continued proportion, 

 of which the second shall be two, and the first and fourth 

 added shall make ten. 



7. Make me often three parts in continued proportion, 

 of which the first multiplied by the second will make 

 eight. 



8. Find me a number which multiplied by its root plus 

 three will make twenty-one. 



NICOLO. Those are questions put by Messer Zuanne 

 da Coi, and by no one else. I know them by the two 



