A History of Mathematics |
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Page 11
... determining areas . The area of an isosceles triangle , of which the sides measure 10 ruths and the base 4 ruths ... determined by astronomical observations . This , coupled with the fact that the word harpedonaptæ , applied to Egyptian ...
... determining areas . The area of an isosceles triangle , of which the sides measure 10 ruths and the base 4 ruths ... determined by astronomical observations . This , coupled with the fact that the word harpedonaptæ , applied to Egyptian ...
Page 20
... determine to whom each particular discovery is to be ascribed . The Pythagoreans themselves were in the habit of referring every discovery back to the great founder of the sect . This school grew rapidly and gained considerable ...
... determine to whom each particular discovery is to be ascribed . The Pythagoreans themselves were in the habit of referring every discovery back to the great founder of the sect . This school grew rapidly and gained considerable ...
Page 27
... determining the ratio of the areas between two curvilinear plane figures , say two circles , geometers first scribed or circumscribed similar polygons , and then by increasing indefi- nitely the number of sides , nearly exhausted the ...
... determining the ratio of the areas between two curvilinear plane figures , say two circles , geometers first scribed or circumscribed similar polygons , and then by increasing indefi- nitely the number of sides , nearly exhausted the ...
Page 44
... determined the volume of water displaced by the gold , silver , and crown respectively , and calculated from that ... determining their loss of weight in water . From these data he easily found the solution . It is possible that ...
... determined the volume of water displaced by the gold , silver , and crown respectively , and calculated from that ... determining their loss of weight in water . From these data he easily found the solution . It is possible that ...
Page 47
... determines in the circle a diameter ; the triangle having this diameter for its base and the two lines for its sides ... determined as we shall specify later , and from the extremity of this per- pendicular draw a straight line to the ...
... determines in the circle a diameter ; the triangle having this diameter for its base and the two lines for its sides ... determined as we shall specify later , and from the extremity of this per- pendicular draw a straight line to 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.