Plane and solid geometry . inted star or pentagram which they knewhow to construct and which they considered symbolical of health. Theyate simple food and practiced severe discipline, having obedience, temper-ance, and purity as their ideals. The brotherhood regarded their leaderwith reverent esteem and attributed to him tlieir most important dis-coveries, many of which were kept secret. Pythagoras knew something of incommensurable numbers and provedthat the diagonal and the side of a square are incommensurable. The fii-st man who propounded a theory of incommensurables is said tohave suffered
Plane and solid geometry . inted star or pentagram which they knewhow to construct and which they considered symbolical of health. Theyate simple food and practiced severe discipline, having obedience, temper-ance, and purity as their ideals. The brotherhood regarded their leaderwith reverent esteem and attributed to him tlieir most important dis-coveries, many of which were kept secret. Pythagoras knew something of incommensurable numbers and provedthat the diagonal and the side of a square are incommensurable. The fii-st man who propounded a theory of incommensurables is said tohave suffered shipwreck on account of the sacrilege, since such numberswere thought to be symbolical of the Deity. Pythagoras, having incurred the hatred ofhis political opponents, was murdered bythem, but his scliool was reestablished afterhis death and it flourished for over a hundredyears. Ex. 884. Use the adjoining figure toI)n)ve the Pythagorean theorem. Ex. 885. Construct a triangle equivalentto the sum of two given triant:les. U. BOOK IV 235 Ex. 886. The figure represents a farm drawn to the scale accurate measure-ments and calculate ap-proximately the numberof acres in the farm. Ex. 887. A farmXYZW^ in the form of atrapezium, has the follow-ing dimensions ; XY — 60rods, rZ = 70 rods, ZW= 90 rods, PFX = 100 rods,and XZ — ^^ rods. Drawa plot of the farm to thescale 1 inch = 40 rods, andcalculate the area of thefarm in acres.
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
