A History of Mathematics |
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Page 5
... principles were employed the additive and multiplica- tive . Numbers below 100 were expressed by symbols whose respective values had to be added . Thus , stood for 2 , for 3 , for 4 , for 23 , <<< for 30. Here the symbols of higher ...
... principles were employed the additive and multiplica- tive . Numbers below 100 were expressed by symbols whose respective values had to be added . Thus , stood for 2 , for 3 , for 4 , for 23 , <<< for 30. Here the symbols of higher ...
Page 7
... principle of position " was employed . Thus , in 1.4 ( = 64 ) , the 1 is made to stand for 60 , the unit of the second order , by virtue of its position with respect to the 4. The introduction of this principle at so early a date is the ...
... principle of position " was employed . Thus , in 1.4 ( = 64 ) , the 1 is made to stand for 60 , the unit of the second order , by virtue of its position with respect to the 4. The introduction of this principle at so early a date is the ...
Page 13
... principle employed was the additive . Thus , 23 was written nill Besides the hieroglyphics , Egypt possesses the hieratic and demotic writings , but for want of space we pass them by . Herodotus makes an important statement concerning ...
... principle employed was the additive . Thus , 23 was written nill Besides the hieroglyphics , Egypt possesses the hieratic and demotic writings , but for want of space we pass them by . Herodotus makes an important statement concerning ...
Page 21
... principles to the bottom , and investigated its theorems in an immaterial and intellectual manner . " His geometry was connected closely with his arithmetic . He was especially fond of those geometrical relations which admitted of ...
... principles to the bottom , and investigated its theorems in an immaterial and intellectual manner . " His geometry was connected closely with his arithmetic . He was especially fond of those geometrical relations which admitted of ...
Page 34
... principle of virtual velocities . About his time there appeared a work called Mechanica , of which he is regarded by some as the author . Mechanics was totally neglected by the Platonic school . The First Alexandrian School . In the ...
... principle of virtual velocities . About his time there appeared a work called Mechanica , of which he is regarded by some as the author . Mechanics was totally neglected by the Platonic school . The First Alexandrian School . In the ...
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Popular passages
Page 292 - THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel.
Page 13 - 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.
Page 90 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 419 - FERRERS.— AN ELEMENTARY TREATISE on TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projections. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.