Elements of Geometry and TrigonometryBarnes & Burr, 1863 - 455 σελίδες |
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Σελίδα 26
... ) , < ACBC AB ; that is , the difference between any two sides of a triangle is less than the third side . Scholium . In order that any three given lines may re- present the sides of a triangle , the sum of 26 GEOMETRY .
... ) , < ACBC AB ; that is , the difference between any two sides of a triangle is less than the third side . Scholium . In order that any three given lines may re- present the sides of a triangle , the sum of 26 GEOMETRY .
Σελίδα 27
... difference of any two must be less than the third . PROPOSITION VIII . THEOREM . If from any point within a triangle two straight lines be drawn to the extremities of any side , their sum will be less than that of the two remaining ...
... difference of any two must be less than the third . PROPOSITION VIII . THEOREM . If from any point within a triangle two straight lines be drawn to the extremities of any side , their sum will be less than that of the two remaining ...
Σελίδα 69
... difference of HN and HM , is equal to PQ , which is the difference of HQ and HP ( A. 3 ) ; which was to be proved . 2o . Let the secant AB and tangent DE , be parallel : then will the intercepted arcs MH and PH be equal . For , draw the ...
... difference of HN and HM , is equal to PQ , which is the difference of HQ and HP ( A. 3 ) ; which was to be proved . 2o . Let the secant AB and tangent DE , be parallel : then will the intercepted arcs MH and PH be equal . For , draw the ...
Σελίδα 71
... difference , of their radii . Let the circumferences , whose centres are C and D , intersect at A : then will CD be less than the sum , and greater than the difference of the radii of the two circles . For , draw AC and AD , forming the ...
... difference , of their radii . Let the circumferences , whose centres are C and D , intersect at A : then will CD be less than the sum , and greater than the difference of the radii of the two circles . For , draw AC and AD , forming the ...
Σελίδα 72
... difference of their radii , one will be tangent to the other internally . Let C and D be the centres of two circles , and let the distance between these centres be equal to the difference of the radii : then will the one be tangent to ...
... difference of their radii , one will be tangent to the other internally . Let C and D be the centres of two circles , and let the distance between these centres be equal to the difference of the radii : then will the one be tangent to ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Δημοφιλή αποσπάσματα
Σελίδα 28 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 100 - The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Σελίδα 59 - A chord is a straight line joining the extremities of an arc.
Σελίδα 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Σελίδα 123 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 182 - The upper end of the frustum of a pyramid or cone is called the upper base...