Calendar: 1860-1861 Page 502

WARNEFORD SCHOLARSHIPS 503 The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also them- selves equal and parallel To describe parallelogram that shall be equal to given triangle and have one of its angles equal to given rectilineal angle If straight line be divided into any two parts the square of the whole line is equal to the squares of the two parts together with twice the rectangle contained by the parts To describe square that shall be equal to given recti- lineal figure If any point be taken in the diameter of circle which is not the centre of all the straight lines which can be drawn from it to the circumference the greatest is that in which the centre is and the other part of that diameter is the least and of any others that which is nearer to the line which passes through the centre is always greater than one more remote and from the same point there can be drawn only two straight lines that are equal to one another one upon each side of the shortest line To draw straight line from given point either without or in the circumference which shall touch given circle Upon given straight line to describe segment of circle which shall contain an angle equal to given rectilineal angle IX -Ctt tit amtc airt Ιβχο Lege fHan Translate Quanta autem vis amicitiae sit ex hoc intelligi maxime potest quod ex infinita societate generis humani quam conciliavit ipsa natura ita contracta res est et adducta in angustum ut omnis caritas aut inter duos aut inter paucos jungeretur Est autem amicitia nihil aliud nisi omnium divinarum humanarumque remm cum benevolentia et caritate summa consensio qua quidem haud scio an excepta sapientia quidquam melius homini sit diis immortalibus datum Divitias alii pracpontint bonam alii valetudinem alii potentiam alii honores multi etiam νοίιιρ-