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Dialogues on the First Principles of the Newtonian System
Walter Henry Burton
No preview available - 2009
alteration altitude appear applied ascertain attraction base body called cause centre centripetal force Certainly circle circumference coincide consequence consider contained continually curve definite described DIALOGUE diameter difference direction distance divided double draw drawn earth easily equal evident fact fall figure fixed fraction greater impulse inches indefinitely small instance less magnitude matter measure meet moon motion move multiplying observed operation opposite original parallel parallelogram pass periodical planets portion position present produced Prop proportional proposition prove quantity radius ratio reason rectangle represented requires respectively rest revolve right angles round side single space square stars straight line supposed supposition sure surface thing tion triangle truth twice uniform universe vary velocity whole wind
Page 2 - Certainly, it is heaven upon earth, to have a man's mind move in charity, rest in providence, and turn upon the poles of truth.
Page 19 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Page 37 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Page 2 - Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal...
Page 10 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Page 51 - Multiply one half the sum of the first and last terms by the number of terms. Thus, the sum of eight terms of the series whose first term is 3 and last term 38 is 8 x * (3 + 38) = 164.
Page 19 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Page 38 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.