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 18
... expression AB is used . 3. To signify that A is greater than B , the expression A > B is used ; the smaller quantity being always at the vertex of the angle . 4. The sign is called plus ; it indicates addition . 5. The sign is called ...
... expression AB is used . 3. To signify that A is greater than B , the expression A > B is used ; the smaller quantity being always at the vertex of the angle . 4. The sign is called plus ; it indicates addition . 5. The sign is called ...
Σελίδα 41
... expressed by unity , each angle of an equilateral triangle will be expressed by 3 . Cor . 6. In every triangle ABC , the exterior angle BAD is equal to the sum of the two interior opposite angles B and C. For , AE being parallel to BC ...
... expressed by unity , each angle of an equilateral triangle will be expressed by 3 . Cor . 6. In every triangle ABC , the exterior angle BAD is equal to the sum of the two interior opposite angles B and C. For , AE being parallel to BC ...
Σελίδα 47
... expressed by B A A and B are called the terms of the ratio ; the first is called the antecedent , and the second , the consequent . 3. The ratio of magnitudes may be expressed by num- bers , either exactly or approximatively ; and in ...
... expressed by B A A and B are called the terms of the ratio ; the first is called the antecedent , and the second , the consequent . 3. The ratio of magnitudes may be expressed by num- bers , either exactly or approximatively ; and in ...
Σελίδα 48
... expressed by the number of its units , and the two magnitudes are then said to be commensurable . If the second magnitude do not contain the measuring unit an exact number of times , there may perhaps be a smaller unit which will be ...
... expressed by the number of its units , and the two magnitudes are then said to be commensurable . If the second magnitude do not contain the measuring unit an exact number of times , there may perhaps be a smaller unit which will be ...
Σελίδα 57
... and consequently , also to two segments : but the smaller one is always meant , unless the contrary is expressed . 6. A STRAIGHT LINE is said to be inscribed in BOOK III The Circle, and the Measurement of Angles,.........
... and consequently , also to two segments : but the smaller one is always meant , unless the contrary is expressed . 6. A STRAIGHT LINE is said to be inscribed in BOOK III The Circle, and the Measurement of Angles,.........
Άλλες εκδόσεις - Προβολή όλων
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.