Elements of Geometry and TrigonometryBarnes & Burr, 1863 - 455 σελίδες |
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Σελίδα ii
... examples . Babies ' Bourdon's Algebra - Including Sturm's and Horner's Theorems , and practical examples . Babies ' Legendre's Geometry and Trigonometry - Revised and adapted to the course of Mathematical Instruction in the United ...
... examples . Babies ' Bourdon's Algebra - Including Sturm's and Horner's Theorems , and practical examples . Babies ' Legendre's Geometry and Trigonometry - Revised and adapted to the course of Mathematical Instruction in the United ...
Σελίδα 26
... example , there will remain ( A. 5 ) , < 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 ...
... example , there will remain ( A. 5 ) , < 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 ...
Σελίδα 74
... example , that this unit is contained 7 times in the angle ACB , and 4 times in the angle DOE . Then , suppose ACB be divided into 7 angles , by the radii Cm , Cn , Cp , & c .; and DOE into 4 angles , by the radii Ox , Oy , and Oz ...
... example , that this unit is contained 7 times in the angle ACB , and 4 times in the angle DOE . Then , suppose ACB be divided into 7 angles , by the radii Cm , Cn , Cp , & c .; and DOE into 4 angles , by the radii Ox , Oy , and Oz ...
Σελίδα 193
... example , that AE is to AI , as 15 is to 8 . These planes will Conceive AE to be divided into 15 equal parts , of which AI will contain 8 ; through the points of division let planes be passed parallel to ABCD . divide the ...
... example , that AE is to AI , as 15 is to 8 . These planes will Conceive AE to be divided into 15 equal parts , of which AI will contain 8 ; through the points of division let planes be passed parallel to ABCD . divide the ...
Σελίδα 252
... example , let them be to each other as 5 is to 48. Divide the circumference MNPQ into 48 equal parts , be- ginning at M ; MN will contain five of these parts . Join each point of division with the there will be formed ( P. VII . , S. 2 ) ...
... example , let them be to each other as 5 is to 48. Divide the circumference MNPQ into 48 equal parts , be- ginning at M ; MN will contain five of these parts . Join each point of division with the there will be formed ( P. VII . , S. 2 ) ...
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...