Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 sider |
Inni boken
Resultat 1-5 av 11
Side 31
... angle in the one equal to the two sides IO , OH and the includ- ed angle in the other , each to each ; hence the ... exterior angle equal to the interior and opposite angle , or makes the interior angles on the same side together equal ...
... angle in the one equal to the two sides IO , OH and the includ- ed angle in the other , each to each ; hence the ... exterior angle equal to the interior and opposite angle , or makes the interior angles on the same side together equal ...
Side 32
... angles equal ; also any exterior angle equal to the interior and opposite angle ; and the two in- terior angles upon the same side together equal to two right angles . Let the straight line E F inter- sect the parallel lines AB , CD ...
... angles equal ; also any exterior angle equal to the interior and opposite angle ; and the two in- terior angles upon the same side together equal to two right angles . Let the straight line E F inter- sect the parallel lines AB , CD ...
Side 36
... angles BAC , ACE are equal ( Prop . XXII . ) . Again , since BD meets the two parallels AB , E C , the exterior angle ECD is equal to the interior and opposite angle ABC . But the angle ACE is equal to BAC ; therefore , the whole exterior ...
... angles BAC , ACE are equal ( Prop . XXII . ) . Again , since BD meets the two parallels AB , E C , the exterior angle ECD is equal to the interior and opposite angle ABC . But the angle ACE is equal to BAC ; therefore , the whole exterior ...
Side 39
... exterior angles of any polygon , formed by producing each side in the same direction , is equal to four right angles ... angle , together with its adjacent exterior angle , is equal to two right angles ( Prop . I. ) ; hence the sum of ...
... exterior angles of any polygon , formed by producing each side in the same direction , is equal to four right angles ... angle , together with its adjacent exterior angle , is equal to two right angles ( Prop . I. ) ; hence the sum of ...
Side 72
... angle BAD . Draw the diameter A E , and the radii CB , CD . B A E The angle BCE , being exterior to the triangle ABC , is equal to the sum of the two interior angles CAB , ABC ( Prop . XXVII . Bk . I. ) . But the triangle BAC being ...
... angle BAD . Draw the diameter A E , and the radii CB , CD . B A E The angle BCE , being exterior to the triangle ABC , is equal to the sum of the two interior angles CAB , ABC ( Prop . XXVII . Bk . I. ) . But the triangle BAC being ...
Andre utgaver - Vis alle
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Uten tilgangsbegrensning - 1874 |
Elements of Geometry: With Practical Application to Mensuration Benjamin Greenleaf Uten tilgangsbegrensning - 1869 |
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Uten tilgangsbegrensning - 1872 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude angle ACB angle equal arc A B base bisect chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Populære avsnitt
Side 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 37 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 120 - At a point in a given straight line to make an angle equal to a given angle.
Side 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Side 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Side 199 - Any two rectangular parallelopipedons are to each other as the products of their bases by their altitudes ; that is to say, as the products of their three dimensions.
Side 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Side 103 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 2 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Side 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.