Dialogues on the First Principles of the Newtonian System, Volume 4

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J. Parker, 1828 - Astronomy - 68 pages

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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 2 - If two triangles have two sides of the one equal to two sides of the...
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.
Page 6 - Then, because the three angles of every triangle are together equal to two right angles, [I.

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