A History of Mathematics |
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Page 3
... triangle , tell them something about its discoverer - how Pythagoras , jubilant over his great accomplishment , sacrificed a hecatomb to the Muses who in- spired him . When the value of mathematical training is called in question ...
... triangle , tell them something about its discoverer - how Pythagoras , jubilant over his great accomplishment , sacrificed a hecatomb to the Muses who in- spired him . When the value of mathematical training is called in question ...
Page 8
... triangle and quadrangle , which they used in their auguries . Like the Hebrews ( 1 Kin . 7:23 ) , they took = 3. Of geometrical demonstrations there is , of course , no trace . " As a rule , in the Oriental mind the intui- tive powers ...
... triangle and quadrangle , which they used in their auguries . Like the Hebrews ( 1 Kin . 7:23 ) , they took = 3. Of geometrical demonstrations there is , of course , no trace . " As a rule , in the Oriental mind the intui- tive powers ...
Page 11
... triangle , of which the sides measure 10 ruths and the base 4 ruths , was erroneously given as 20 square ruths , or half the product of the base by one side . The area of an isosceles trapezoid is found , similarly , by multiplying half ...
... triangle , of which the sides measure 10 ruths and the base 4 ruths , was erroneously given as 20 square ruths , or half the product of the base by one side . The area of an isosceles trapezoid is found , similarly , by multiplying half ...
Page 12
... triangle . If this explanation is correct , then the Egyptians were familiar , 2000 years B.C. , with the well - known property of the right triangle , for the special case at least when the sides are in the ratio 3 : 4 : 5 . On the ...
... triangle . If this explanation is correct , then the Egyptians were familiar , 2000 years B.C. , with the well - known property of the right triangle , for the special case at least when the sides are in the ratio 3 : 4 : 5 . On the ...
Page 17
... triangle , the bisec- tion of a circle by any diameter , and the congruence of two triangles having a side and the two adjacent angles equal THE GREEKS . 17.
... triangle , the bisec- tion of a circle by any diameter , and the congruence of two triangles having a side and the two adjacent angles equal THE GREEKS . 17.
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Popular passages
Page 202 - I was so persecuted with discussions arising out of my theory of light, that I blamed my own imprudence for parting with so substantial a blessing as my quiet, to run after a shadow.
Page 298 - THEOREM If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another.
Page 21 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.