The Common Sense of the Exact Sciences |
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Common terms and phrases
altering Binomial Theorem body called chapter circle circumference clockwise coincide commutative law complex number Conic Sections conical surface consider containing count counter-clockwise cube curve cylinder denoted diameter directed step distance distributive law divide dots edge ellipse equiangular spiral expressed exterior angle figure five times six four fourth proportional fraction geometrical group of things Hence hodograph hyperbola inches length letters logarithmic rate logarithmic spiral loop magnitude means measure motion move number multiplied number of points operation parabola parallel parallelogram perpendicular piece plane position quantity radius ratio rectangle represent result reverse right angles round scalar shadow shape side smooth-points space sphere spiral square step backwards step forward straight line stretch surface symbol tangent termed theorem three numbers tion triangle turn unit angle velocity whole number
Popular passages
Page i - ... of Monocular and Binocular Vision. By JOSEPH LE CONTE, LL. D. With 132 • Illustrations. $1.50.
Page 72 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Page 75 - An exterior angle of a triangle is equal to the sum of the two interior opposite angles; and the sum of the three interior angles of a triangle is equal to two right angles.
Page 74 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Page ii - XXXVII. THE FORMATION OF VEGETABLE MOULD, THROUGH THE ACTION OF WORMS. With Observations on their Habits. By CHARLES DARWIN, LL. D., FRS, author of " On the Origin of Species,