Elements of Geometry, Theoretical and Practical: Containing a Full Explanation of the Construction and Use of Tables, and a New System of SurveyingPratt, Woodford, 1848 - 324 páginas |
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Página 51
... half the coefficient of x to both sides ; 3 ° . Take the square root of the members , prefixing the double sign [ + ] to the second ; 4 ° . Transpose . It will be observed that ( 57 ) resolves into two independent equa- tions ( 58 ) ...
... half the coefficient of x to both sides ; 3 ° . Take the square root of the members , prefixing the double sign [ + ] to the second ; 4 ° . Transpose . It will be observed that ( 57 ) resolves into two independent equa- tions ( 58 ) ...
Página 53
... half sum , or their half difference , or a mean proportional between them , or , & c . " ―― Thus , suppose it were required to find two numbers such that their sum should be 4 and the sum of their 4th powers 82. Instead of taking x and ...
... half sum , or their half difference , or a mean proportional between them , or , & c . " ―― Thus , suppose it were required to find two numbers such that their sum should be 4 and the sum of their 4th powers 82. Instead of taking x and ...
Página 78
... half the difference of the basic angles . 10 ° . Prove that if a line be drawn from one of the equal angles of an isosceles triangle upon the opposite side and equal to it , the angle embraced by this line and the production of the base ...
... half the difference of the basic angles . 10 ° . Prove that if a line be drawn from one of the equal angles of an isosceles triangle upon the opposite side and equal to it , the angle embraced by this line and the production of the base ...
Página 83
... half base . or If the triangle be isosceles , there will result a2 - c2 + m - a2 - c2 = mn . m + n , n Cor . 2. In an isosceles triangle , the square of the oblique ( 137 ) side diminished by the square of the middle line , is equal to ...
... half base . or If the triangle be isosceles , there will result a2 - c2 + m - a2 - c2 = mn . m + n , n Cor . 2. In an isosceles triangle , the square of the oblique ( 137 ) side diminished by the square of the middle line , is equal to ...
Página 86
... half a right angle . Ans . The hound runs 60 ( 2 + √2'05 ) , the hare 40 ( √2 + √205 ) , rods . 13 ° . Given the perimeter 4a , of a rectangle ( right angled par- allelogram ) and the diagonal , d , to determine the figure . 14 ...
... half a right angle . Ans . The hound runs 60 ( 2 + √2'05 ) , the hare 40 ( √2 + √205 ) , rods . 13 ° . Given the perimeter 4a , of a rectangle ( right angled par- allelogram ) and the diagonal , d , to determine the figure . 14 ...
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Otras ediciones - Ver todas
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock Sin vista previa disponible - 2016 |
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 11 - If two triangles have two sides of the one equal to two sides of the...
Página 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...
Página 62 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 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.
Página 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.
Página 75 - ... by four times the square of the line joining the middle points of the diagonals.
Página 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.
Página 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.
Página 256 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Página 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.