Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 páginas |
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Página vi
... PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms , Rules for Characteristics , General Principles ... PLANE TRIGONOMETRY . Plane Trigonometry Defined , .... Functions of the Arc , Table of Natural Sines ,. Table of ...
... PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms , Rules for Characteristics , General Principles ... PLANE TRIGONOMETRY . Plane Trigonometry Defined , .... Functions of the Arc , Table of Natural Sines ,. Table of ...
Página 14
... plane and curved surfaces . 8. A PLANE is a surface , such , that if any two of its points be joined by a straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of ...
... plane and curved surfaces . 8. A PLANE is a surface , such , that if any two of its points be joined by a straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of ...
Página 15
... plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a portion of a plane bounded by lines , either straight or curved . 18. A POLYGON is a plane figure ...
... plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a portion of a plane bounded by lines , either straight or curved . 18. A POLYGON is a plane figure ...
Página 59
... plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir cumference . 2. A RADIUS is a straight line drawn from the centre to any ...
... plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir cumference . 2. A RADIUS is a straight line drawn from the centre to any ...
Página 157
... PLANE , when it can- not meet the plane , how far soever both may be produced . In this case , the plane is also parallel to the line . 3. TWO PLANES ARE PARALLEL , when they cannot meet , how far soever both may be produced . 4. A ...
... PLANE , when it can- not meet the plane , how far soever both may be produced . In this case , the plane is also parallel to the line . 3. TWO PLANES ARE PARALLEL , when they cannot meet , how far soever both may be produced . 4. A ...
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Términos y frases comunes
AB² ABCD AC² adjacent angles altitude apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter difference distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine slant height sphere spherical polygon spherical triangle square subtracted Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence
Pasajes populares
Página 126 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 59 - 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.
Página 18 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 104 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Página 6 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 28 - If two triangles have two sides of the one equal to two sides of the...
Página 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 99 - The area of a parallelogram is equal to the product of its base and altitude.
Página 172 - If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other.
Página 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.