# Elements of Geometry, Theoretical and Practical: Containing a Full Explanation of the Construction and Use of Tables, and a New System of Surveying

Pratt, Woodford, 1848 - 324 ページ

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11 ページ - If two triangles have two sides of the one equal to two sides of the...
258 ページ - ... greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle, shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to...
64 ページ - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
189 ページ - As the sine of the angle opposite the given side, is to the sine of the angle opposite the required side ; so is the given side to the required side.
39 ページ - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
77 ページ - ... by four times the square of the line joining the middle points of the diagonals.
298 ページ - N. by E. NNE NE by N. NE NE by E. ENE E. by N. East E. by S. ESE SE by E. SE SE by S.
171 ページ - The sum of the sines of two arcs is to their difference, as the tangent of half the sum of those arcs is to the tangent of half their difference.
258 ページ - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
74 ページ - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportional, the triangles shall be equiangular, and have those angles equal which subtend the homologous sides.