The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 89
Webster Wells. THE METHOD OF LIMITS . 184. A variable quantity , or simply a variable , is a quan- tity which may assume , under the conditions imposed upon it , an indefinitely great number of different values . 185. A constant is a ...
Webster Wells. THE METHOD OF LIMITS . 184. A variable quantity , or simply a variable , is a quan- tity which may assume , under the conditions imposed upon it , an indefinitely great number of different values . 185. A constant is a ...
Σελίδα 90
... limit 0 when the number of terms is indefi- nitely increased . Again , the ... approaches the limit 2 when the number of terms is indefinitely increased . 188. The ... approach the limits AB and A'B ' , respectively . To Prove AB = A'B ...
... limit 0 when the number of terms is indefi- nitely increased . Again , the ... approaches the limit 2 when the number of terms is indefinitely increased . 188. The ... approach the limits AB and A'B ' , respectively . To Prove AB = A'B ...
Σελίδα 92
... approach the limit 0 . Then ZBOC ' will approach the limit / BOC , arc BC ' will approach the limit arc BC . and Hence , ZAOB ZBOC will approach the limit ZAOB Z BOC ' and arc AB arc BC will approach the limit . arc AB arc BC Now , are ...
... approach the limit 0 . Then ZBOC ' will approach the limit / BOC , arc BC ' will approach the limit arc BC . and Hence , ZAOB ZBOC will approach the limit ZAOB Z BOC ' and arc AB arc BC will approach the limit . arc AB arc BC Now , are ...
Σελίδα 129
... approach the limit 0 . Then , AD B'D AD will approach the limit BD ' and AE C'E AE will approach the limit CE By the Theorem of Limits , these limits are equal . AD AE = BD CE ( ? ) 245. Cor . I. We may write the result of THEORY OF ...
... approach the limit 0 . Then , AD B'D AD will approach the limit BD ' and AE C'E AE will approach the limit CE By the Theorem of Limits , these limits are equal . AD AE = BD CE ( ? ) 245. Cor . I. We may write the result of THEORY OF ...
Σελίδα 163
... approach the limit 0 . Then , and ABCD EFLK AD EK will approach the limit ABCD EFGH AD will approach the limit EH By the Theorem of Limits , these limits are equal . ABCD EFGH AD EH ( ? ) 300. Cor . Since either side of a rectangle may ...
... approach the limit 0 . Then , and ABCD EFLK AD EK will approach the limit ABCD EFGH AD will approach the limit EH By the Theorem of Limits , these limits are equal . ABCD EFGH AD EH ( ? ) 300. Cor . Since either side of a rectangle may ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit area ABC axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line equally distant equilateral equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 261 - The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane.
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 170 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Σελίδα 325 - A right circular cone may be generated by the revolution of a right triangle about one of its legs as an axis.