1. Prove that in every triangle the square of the one side is equal to the sum of the squares of the two other sides, less twice the product of these two, multiplied by the cosine of the angle they inclose.
2. If the hypothenuse is 33, and one angle 25° 48’ 12”, find the other angle and the perpendicular, &c.
[58] The following shows the nature of the Report presented by the examiners upon an Officer examined for admission. It is called the Prüfungs-Act, and is sent into the Supreme War Department, that is, to the Fourth Section.
Form No. I. gives the name, age, rank, and length of service of the Candidate (Lieut. R. H.)
Form No. II.:—a. Oral Examination.
| 1. Mathematics, | Very good. |
| 2. Geography, | Very good. |
| 3. History, | Very good, knowledge thorough, statements logical. |
4. Arms and Munitions, | Excellent; acquainted with the very details. |
5. Field and Permanent Fortification, | Both satisfactory. |
6. Pioneer Service, | Very good. |
7. Drill and Exercise Rules— | |
| Infantry, | Very good. |
| Cavalry, | Not thorough. |
| Artillery, | Good. |
| 8. Manœuvring, | Excellent. |
| 9. French, | Translates without difficulty from French into German, and Germaninto French. Not much practice in speaking. |
10. National languages, | Speaks good Bohemian. |
| b. Paper Work— | |
| 1. Mathematics, | &c. &c. |
| c. Accomplishments— | |
| Writing. | |
| Military Drawing. |
Remarks.—Lieutenant R. H. is a pupil of the Neustadt Academy, of much natural talent, and quick apprehension. His way of expressing himself is quick and logical, and shows a clear head. He has a fair military bearing, and prepossessing appearance. He gives every hope of proving a useful Officer of the Staff, and deserves admission into the War School.
Form No. III. gives the questions actually put, as in the note on the preceding page.
(Signed) . . . . . .