Elements of Geometry, Theoretical and Practical: Containing a Full Explanation of the Construction and Use of Tables, and a New System of Surveying |
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Other editions - View all
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock No preview available - 2016 |
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock No preview available - 2016 |
Common terms and phrases
A₁ abscissa algebraical altitude base becomes BINOMIAL THEOREM bisects C₁ centre chains chord circle circumference coefficients constant continuous function cosb cosc cosine cota cotb curve D₂ denominator denote derivative determine diameter difference diminished distance divided draw drawn ellipse embraced equal equation exponent fraction function geometry given greater horizontal hyperbola hypothenuse increment intersect logarithm measured minus multiplied observe operation opposite parabola parallel parallelogram perpendicular plane polygon polynomial problem proportional PROPOSITION quantities quotient radii radius ratio rectangle right angled triangle Scholium secant line segments sides sinb sine sinx square straight line subtangent subtracting tana tanb tangent theorem variable vertical whence y₁
Popular passages
Page 11 - If two triangles have two sides of the one equal to two sides of the...
Page 256 - ... 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...
Page 62 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page 187 - 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.
Page 37 - 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.
Page 75 - ... by four times the square of the line joining the middle points of the diagonals.
Page 296 - 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.
Page 169 - 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.
Page 256 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Page 72 - 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.