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
... Triangles , ... Construction of Trigonometrical Tables , - . SPHERICAL TRIGONOMETRY . Spherical Triangle , Defined , ... Spherical Trigonometry , Defined ,. First Principles , .. Napier's Analogies , .. Napier's Circular Parts ...
... Triangles , ... Construction of Trigonometrical Tables , - . SPHERICAL TRIGONOMETRY . Spherical Triangle , Defined , ... Spherical Trigonometry , Defined ,. First Principles , .. Napier's Analogies , .. Napier's Circular Parts ...
Seite viii
... Spherical Segment ,. 366 Surface of a Spherical Triangle ,. 366 Surface of a Spherical Polygon , - 367 Of the Regular Polyedrons , .. 367 Theorem , ... 367 Method of Finding the Angle included between two Adjacent Faces of a Regular ...
... Spherical Segment ,. 366 Surface of a Spherical Triangle ,. 366 Surface of a Spherical Polygon , - 367 Of the Regular Polyedrons , .. 367 Theorem , ... 367 Method of Finding the Angle included between two Adjacent Faces of a Regular ...
Seite 222
... spherical sector described by the circular sector BOC : hence , the solidity of the spherical sector is equal to the zone which forms its base , multiplied by a third of the radius . Scholium 2. Since the surface of a sphere whose ...
... spherical sector described by the circular sector BOC : hence , the solidity of the spherical sector is equal to the zone which forms its base , multiplied by a third of the radius . Scholium 2. Since the surface of a sphere whose ...
Seite 225
... sphere whose diameter is this same altitude . Let DMB be the arc of a circle , and DF , BE , per- pendiculars let fall on the radius CA : then , if the area FDMBE be revolved about the radius CA it will generate a spherical segment . It ...
... sphere whose diameter is this same altitude . Let DMB be the arc of a circle , and DF , BE , per- pendiculars let fall on the radius CA : then , if the area FDMBE be revolved about the radius CA it will generate a spherical segment . It ...
Seite 227
... SPHERICAL GEOMETRY . DEFINITIONS . 1. A SPHERICAL TRIANGLE is a portion of the surface of a sphere , bounded by three arcs of great circles . These arcs are named the sides of the triangle , and each is less than a semicircumference ...
... SPHERICAL GEOMETRY . DEFINITIONS . 1. A SPHERICAL TRIANGLE is a portion of the surface of a sphere , bounded by three arcs of great circles . These arcs are named the sides of the triangle , and each is less than a semicircumference ...
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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.