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 vi
... Diagonal Scale of Equal Parts , - - 268 Semicircular Protractor , - 270 To Lay off an Angle with a Protractor ,. 270 Parts of a Plane Triangle , - 271 Plane Trigonometry , Defined ,. 271 Division of the Circumference , - 271 Measures of ...
... Diagonal Scale of Equal Parts , - - 268 Semicircular Protractor , - 270 To Lay off an Angle with a Protractor ,. 270 Parts of a Plane Triangle , - 271 Plane Trigonometry , Defined ,. 271 Division of the Circumference , - 271 Measures of ...
Seite 17
... DIAGONAL of a figure is a line which joins the vertices of two angles not adjacent . 27. A base of a plane figure is one of its sides on which it may be supposed to stand . DEFINITIONS OF TERMS . 1. An axiom is a self - evident truth ...
... DIAGONAL of a figure is a line which joins the vertices of two angles not adjacent . 27. A base of a plane figure is one of its sides on which it may be supposed to stand . DEFINITIONS OF TERMS . 1. An axiom is a self - evident truth ...
Seite 44
... diagonal BD , dividing the parallelogram into the two trian- gles , ABD , DBC . Now , since AD , BC , are parallel , the angle ADB DBC ( P. 20 , c . 2 ) ; and since AB , CD , are parallel , the angle ABD = BDC : and since the side DB is ...
... diagonal BD , dividing the parallelogram into the two trian- gles , ABD , DBC . Now , since AD , BC , are parallel , the angle ADB DBC ( P. 20 , c . 2 ) ; and since AB , CD , are parallel , the angle ABD = BDC : and since the side DB is ...
Seite 45
... diagonal BD the two triangles ABD , BDC , have all the sides of the one equal to the cor- responding sides of the other ; there fore they are equal , and the angle ADB , D opposite the side AB , is equal to DBC , opposite CD ( P. 10 , s ...
... diagonal BD the two triangles ABD , BDC , have all the sides of the one equal to the cor- responding sides of the other ; there fore they are equal , and the angle ADB , D opposite the side AB , is equal to DBC , opposite CD ( P. 10 , s ...
Seite 99
... diagonal of a square is equivalent to double the square described on a side . Let ABCD be a square described on AB , and EFGHI a square described on the diagonal AC . The triangle ABC being right - angled and isosceles , we shall have ...
... diagonal of a square is equivalent to double the square described on a side . Let ABCD be a square described on AB , and EFGHI a square described on the diagonal AC . The triangle ABC being right - angled and isosceles , we shall have ...
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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.