Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 páginas |
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Página v
... , ..... PAGE . 13 20 50 60 59 82 93 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , 178 Cylinder , Cone , and Sphere , Spherical Geometry ,
... , ..... PAGE . 13 20 50 60 59 82 93 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , 178 Cylinder , Cone , and Sphere , Spherical Geometry ,
Página vii
... Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find the Diameter of a Circle , 116 To find the length of an Arc , Area of a Circle , Area of a Sector , .... Area of a Segment , Area of a ...
... Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find the Diameter of a Circle , 116 To find the length of an Arc , Area of a Circle , Area of a Sector , .... Area of a Segment , Area of a ...
Página 15
... polygon . broken line , made up of all the sides of the polygon , is called the perimeter of the polygon . sides , are called angles of the polygon . The angles formed by the 19. Polygons are classified according to the number of their ...
... polygon . broken line , made up of all the sides of the polygon , is called the perimeter of the polygon . sides , are called angles of the polygon . The angles formed by the 19. Polygons are classified according to the number of their ...
Página 16
... polygon is a straight line joining the vertices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference either to their ...
... polygon is a straight line joining the vertices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference either to their ...
Página 45
... polygon is equal to two right angles taken as many times as the polygon has sides , less two . Let ABCDE be any polygon : then will the sum of its interior angles A , B , C , D , and E , be equal to two right angles taken as many times ...
... polygon is equal to two right angles taken as many times as the polygon has sides , less two . Let ABCDE be any polygon : then will the sum of its interior angles A , B , C , D , and E , be equal to two right angles taken as many times ...
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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.