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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 48.
Σελίδα 21
... formed on the same side of the line BF , is equal to two right an- gles ; for , their sum is equal to that of the two adjacent angles BAC and CAF . B- D E -F A * In the references , A. stands for Axiom - D . for Definition - B . for ...
... formed on the same side of the line BF , is equal to two right an- gles ; for , their sum is equal to that of the two adjacent angles BAC and CAF . B- D E -F A * In the references , A. stands for Axiom - D . for Definition - B . for ...
Σελίδα 23
... In a similar manner it may be proved that ACE is equal to DCB . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles . For , the sum of BOOK I. 23.
... In a similar manner it may be proved that ACE is equal to DCB . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles . For , the sum of BOOK I. 23.
Σελίδα 24
... formed about the point C , by two lines F B E perpendicular to each other , their sum would be equal to the sum of the successive angles ACB , BCD , DCE , ECF , FCA . PROPOSITION V. THEOREM . If two triangles have two sides and the ...
... formed about the point C , by two lines F B E perpendicular to each other , their sum would be equal to the sum of the successive angles ACB , BCD , DCE , ECF , FCA . PROPOSITION V. THEOREM . If two triangles have two sides and the ...
Σελίδα 36
... formed take particu- lar names . Interior angles on the same side , are those which lie within the parallels , and on the same A- E -D H F -B side of the secant line ; thus , HGB , GHD , are interior angles on the same side ; and so ...
... formed take particu- lar names . Interior angles on the same side , are those which lie within the parallels , and on the same A- E -D H F -B side of the secant line ; thus , HGB , GHD , are interior angles on the same side ; and so ...
Σελίδα 38
... formed by a line cutting two parallel lines obliquely , the four acute angles are equal to each other , and so also are the four obtuse angles . t PROPOSITION XXI . THEOREM . If two straight lines meet a third line , making the sum of ...
... formed by a line cutting two parallel lines obliquely , the four acute angles are equal to each other , and so also are the four obtuse angles . t PROPOSITION XXI . THEOREM . If two straight lines meet a third line , making the sum of ...
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.