Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 σελίδες |
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Σελίδα iii
... figures . The method of enunciating them by the aid of particular diagrams seems to have been adopted to avoid the difficulty which beginners experience in comprehending abstract proposi- tions . But in avoiding this difficulty , and ...
... figures . The method of enunciating them by the aid of particular diagrams seems to have been adopted to avoid the difficulty which beginners experience in comprehending abstract proposi- tions . But in avoiding this difficulty , and ...
Σελίδα v
... Figures - Measurement of Areas , Problems relating to the Fourth Book ,. BOOK V. Regular Polygons - Measurement of the Circle , .. 57 76 35 87 122 135 BOOK VI . Planes and Polyedral Angles ............ . 156 BOOK VII . Polyedrons ...
... Figures - Measurement of Areas , Problems relating to the Fourth Book ,. BOOK V. Regular Polygons - Measurement of the Circle , .. 57 76 35 87 122 135 BOOK VI . Planes and Polyedral Angles ............ . 156 BOOK VII . Polyedrons ...
Σελίδα vii
... Figure bounded on One Side by a Right Line , ... 351 Area of a Regular Polygon , ... 353 To Find the Circumference or Diameter of a Circle , .. 354 To find the Length of an Arc ,. 355 Area of a Circle , ... 356 Area of a Sector of a ...
... Figure bounded on One Side by a Right Line , ... 351 Area of a Regular Polygon , ... 353 To Find the Circumference or Diameter of a Circle , .. 354 To find the Length of an Arc ,. 355 Area of a Circle , ... 356 Area of a Sector of a ...
Σελίδα 11
... figure is a mark or attribute common to all figures of the same class . 12. The portions of extension which constitute the geo- metrical magnitudes , are indicated to the mind by cer- tain marks called lines . Thus , we say , the ...
... figure is a mark or attribute common to all figures of the same class . 12. The portions of extension which constitute the geo- metrical magnitudes , are indicated to the mind by cer- tain marks called lines . Thus , we say , the ...
Σελίδα 12
... figures . It is the conception of extension , in the abstract , with which the mind should be made conversant , and too much pains cannot be taken to exclude the idea that we are dealing with material things . ELEMENTS OF GEOMETRY ...
... figures . It is the conception of extension , in the abstract , with which the mind should be made conversant , and too much pains cannot be taken to exclude the idea that we are dealing with material things . ELEMENTS OF GEOMETRY ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 27 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 26 - The sum of any two sides of a triangle is greater than the third side.
Σελίδα 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 93 - The area of a parallelogram is equal to the product of its base and altitude.
Σελίδα 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Σελίδα 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.