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 Seiten |
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Seite vii
... Unit of Measure for Surfaces , - 347 Area of a Square , Rectangle , or Parallelogram ,. 347 Area of a Triangle , - 348 Area of a Trapezoid , - 350 Area of a Quadrilateral , .. 351 Area of an Irregular Polygon , .. 351 Area of a Long and ...
... Unit of Measure for Surfaces , - 347 Area of a Square , Rectangle , or Parallelogram ,. 347 Area of a Triangle , - 348 Area of a Trapezoid , - 350 Area of a Quadrilateral , .. 351 Area of an Irregular Polygon , .. 351 Area of a Long and ...
Seite viii
... Unit of Length ,. 358 Unit of Solidity ,. 358 Table of Solid Measures , - 358 Surface of a Right Prism ,. 358 Surface of a Right Pyramid , ... 359 Convex Surface of the Frustum of a Right Pyramid , .. 359 Solidity of a Prism , ... 359 ...
... Unit of Length ,. 358 Unit of Solidity ,. 358 Table of Solid Measures , - 358 Surface of a Right Prism ,. 358 Surface of a Right Pyramid , ... 359 Convex Surface of the Frustum of a Right Pyramid , .. 359 Solidity of a Prism , ... 359 ...
Seite 47
... unit of measure , the magnitude may be expressed by the number of units it contains . If the other magni- tude contain an exact number of these units , it also may * See Davies ' Logic of Mathematics : Proportion , § 267 . be expressed ...
... unit of measure , the magnitude may be expressed by the number of units it contains . If the other magni- tude contain an exact number of these units , it also may * See Davies ' Logic of Mathematics : Proportion , § 267 . be expressed ...
Seite 48
... unit an exact number of times , there may perhaps be a smaller unit which will be contained an exact number of times in each of the magnitudes . But if there is no unit of an assignable value , which is contained an exact number of ...
... unit an exact number of times , there may perhaps be a smaller unit which will be contained an exact number of times in each of the magnitudes . But if there is no unit of an assignable value , which is contained an exact number of ...
Seite 49
... units , each equal to A ' : then A = MXA ' : let B be divided into a number N of equal units , each equal to A ... unit . 6. If there be four magnitudes , A , B , C , and D , having such values that then A is said to D ; or , the ...
... units , each equal to A ' : then A = MXA ' : let B be divided into a number N of equal units , each equal to A ... unit . 6. If there be four magnitudes , A , B , C , and D , having such values that then A is said to D ; or , the ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 27 - If two triangles have two sides of the one equal to two sides of the...
Seite 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Seite 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Seite 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.
Seite 26 - The sum of any two sides of a triangle is greater than the third side.
Seite 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Seite 93 - The area of a parallelogram is equal to the product of its base and altitude.
Seite 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Seite 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.
Seite 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.