Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 sider |
Inni boken
Resultat 1-5 av 35
Side 55
... radii of a circle are equal ; all the diameters are also equal , and each is double the radius . 156. An ARC of a circle is any part of the circumference ; as the part AD , AE , or EGF . 157. The CHORD of an arc is the straight line ...
... radii of a circle are equal ; all the diameters are also equal , and each is double the radius . 156. An ARC of a circle is any part of the circumference ; as the part AD , AE , or EGF . 157. The CHORD of an arc is the straight line ...
Side 56
... radii drawn to the extremities of the arc ; as the surface included between the arc AD , and the two radii CA , CD . 160. A SECANT to a circle is a straight line which meets the cir- cumference in two points , and lies partly within and ...
... radii drawn to the extremities of the arc ; as the surface included between the arc AD , and the two radii CA , CD . 160. A SECANT to a circle is a straight line which meets the cir- cumference in two points , and lies partly within and ...
Side 58
... radii , they are equal ( Art . B 155 ) ; hence , three equal straight lines can be drawn from the same point to the same straight line , which is impossible ( Prop . XIV . Cor . 2 , Bk . I. ) . PROPOSITION III . THEOREM . 173. In the ...
... radii , they are equal ( Art . B 155 ) ; hence , three equal straight lines can be drawn from the same point to the same straight line , which is impossible ( Prop . XIV . Cor . 2 , Bk . I. ) . PROPOSITION III . THEOREM . 173. In the ...
Side 59
... radii CD , OG are drawn , the triangles ACD , EOG , having the three sides of the one equal to the three sides of the other , each to each , are themselves equal ( Prop . XVIII . Bk . I. ) ; therefore the angle A CD is equal to the ...
... radii CD , OG are drawn , the triangles ACD , EOG , having the three sides of the one equal to the three sides of the other , each to each , are themselves equal ( Prop . XVIII . Bk . I. ) ; therefore the angle A CD is equal to the ...
Side 60
... radii which make equal angles at the centre intercept equal arcs on the circumference ; and , conversely , if the intercepted ares are equal , the angles made by the radii are also equal , Let ACB and DCE be equal angles made by radii ...
... radii which make equal angles at the centre intercept equal arcs on the circumference ; and , conversely , if the intercepted ares are equal , the angles made by the radii are also equal , Let ACB and DCE be equal angles made by radii ...
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 equal 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 formulæ 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 plane MN polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon Required the area 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.