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, 1857 - 432 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα vi
... Given Loga- rithm , 260 Multiplication by Logarithms ,. 261 Division by Logarithms , 262 Arithmetical Complement ,. 263 To find the Powers and Roots of Numbers , by Logarithms ,. 265 Geometrical Constructions ,. 266 Description of ...
... Given Loga- rithm , 260 Multiplication by Logarithms ,. 261 Division by Logarithms , 262 Arithmetical Complement ,. 263 To find the Powers and Roots of Numbers , by Logarithms ,. 265 Geometrical Constructions ,. 266 Description of ...
Σελίδα 20
... given straight line may be bisected : that is , divided into two equal parts . 5. That a straight line may bisect a given angle . 6. That a perpendicular may be drawn to a given straight line , either from a point without the line , or ...
... given straight line may be bisected : that is , divided into two equal parts . 5. That a straight line may bisect a given angle . 6. That a perpendicular may be drawn to a given straight line , either from a point without the line , or ...
Σελίδα 31
... given point , without a straight line , only one perpen dicular can be drawn to that line . Let A be the point , and DE the given line . Let us suppose that we can draw D F -E B two perpendiculars , AB , AC . Pro- long either of them ...
... given point , without a straight line , only one perpen dicular can be drawn to that line . Let A be the point , and DE the given line . Let us suppose that we can draw D F -E B two perpendiculars , AB , AC . Pro- long either of them ...
Σελίδα 32
... given point C , in the line AB , it is also impossible to erect more than one perpendicular to that line . For , if ... given line at points equally distant from the foot of the perpendicular , will be equal . 3d . Of two oblique lines ...
... given point C , in the line AB , it is also impossible to erect more than one perpendicular to that line . For , if ... given line at points equally distant from the foot of the perpendicular , will be equal . 3d . Of two oblique lines ...
Σελίδα 33
... given line at equal distances from the perpendicular , are equal . Thirdly . Since the point C is within the triangle FDA , the sum of the sides FD , DA , is greater than the sum of the lines FC , CA ( P. 8 ) : therefore AD , the half ...
... given line at equal distances from the perpendicular , are equal . Thirdly . Since the point C is within the triangle FDA , the sum of the sides FD , DA , is greater than the sum of the lines FC , CA ( P. 8 ) : therefore AD , the half ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angle ACB angle BAD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cos² cosine Cotang cubes 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 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 similar triangles sin² sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM three angles triangle ABC triangular prism triedral angles vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 34 - If two right-angled triangles have the hypothenuse and a side of the one, equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...
Σελίδα 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 278 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Σελίδα 107 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Σελίδα 1 - O's, points or dots are introduced instead of the 0's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N'.
Σελίδα 43 - BtSL hence the sum of all the interior and exterior angles, is equal to twice as many right angles as the polygon has sides.
Σελίδα 119 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Σελίδα 30 - B : hence the two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each : hence, the two triangles are equal (Th.
Σελίδα 97 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.