A History of Elementary Mathematics

Forside
Macmillan, 1898 - 422 sider
 

Innhold

I
xiii
II
1
III
5
IV
12
V
55
VI
62
VII
68
VIII
75
XII
131
XIII
147
XIV
192
XV
235
XVI
237
XVII
251
XVIII
259
XIX
275

IX
88
X
89
XI
105
XX
289
XXI
304
XXII
315

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Populære avsnitt

Side 170 - QUANTITIES, AND THE RATIOS OF QUANTITIES, WHICH IN ANY FINITE TIME CONVERGE CONTINUALLY TO EQUALITY, AND BEFORE THE END OF THAT TIME APPROACH NEARER THE ONE TO THE OTHER THAN BY ANY GIVEN DIFFERENCE, BECOME ULTIMATELY EQUAL.
Side 254 - THEOREM. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite...
Side 229 - M. Laplace, they tell me you have written this large book on the system of the universe, and have never even mentioned its Creator.
Side 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.
Side 69 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Side 35 - Give him threepence, since he must make gain out of what he learns.
Side 165 - I consider mathematical quantities in this place not as consisting of very small parts, but as described by a continued motion. Lines are described, and thereby generated, not by the apposition of parts, but by the continued motion of points...
Side 39 - The area of a triangle equals half the product of its base by its altitude.
Side 120 - He spoke of imaginary quantities ; inferred by induction that every equation has as many roots as there are units in the number expressing its degree ; and first showed how to express the sums of their powers in terms of the coefficients.
Side 241 - Euler) and discovered between the theory of surfaces and the integration of partial differential equations, a hidden relation which threw new light upon both subjects. He gave the differential of curves of curvature, established a general theory of curvature, and applied it to the ellipsoid.

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