Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 páginas |
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Página vii
... Parallelogram , ... 106 The Area of a Triangle , 106 ..... Formula for the Sine of Half an Angle , .. 108 Area of a Trapezoid , 112 Area of a Quadrilateral , 112 Area of a Polygon , 113 Area of a Regular Polygon , 114 To find the ...
... Parallelogram , ... 106 The Area of a Triangle , 106 ..... Formula for the Sine of Half an Angle , .. 108 Area of a Trapezoid , 112 Area of a Quadrilateral , 112 Area of a Polygon , 113 Area of a Regular Polygon , 114 To find the ...
Página 17
... PARALLELOGRAM is a quadrilateral which has its opposite sides parallel , two and two . There are two varieties of parallelograms : rectangles and rhomboids . 1st . A RECTANGLE is a parallelogram whose angles are all right angles . A ...
... PARALLELOGRAM is a quadrilateral which has its opposite sides parallel , two and two . There are two varieties of parallelograms : rectangles and rhomboids . 1st . A RECTANGLE is a parallelogram whose angles are all right angles . A ...
Página 43
... HMB MBC ( P. XX . , C. 2 ) : hence , is equal to its alternate angle GHK is equal to ABC ; which was to be proved . Cor . The opposito angles of a parallelogram are equal . PROPOSITION XXV . THEOREM . In any triangle , the BOOK I. 48.
... HMB MBC ( P. XX . , C. 2 ) : hence , is equal to its alternate angle GHK is equal to ABC ; which was to be proved . Cor . The opposito angles of a parallelogram are equal . PROPOSITION XXV . THEOREM . In any triangle , the BOOK I. 48.
Página 47
... parallelogram , the opposite sides are equal , each to \ each . Let ABCD be a parallelogram : then will AB be equal to DC , and AD to BC . For , draw the diagonal BD . Then , because AB and DC are parallel , the angle DBA is equal to ...
... parallelogram , the opposite sides are equal , each to \ each . Let ABCD be a parallelogram : then will AB be equal to DC , and AD to BC . For , draw the diagonal BD . Then , because AB and DC are parallel , the angle DBA is equal to ...
Página 48
... parallelogram . In the quadrilateral ABCD , let AB be equal to DC , and AD to BC : then will it be a parallelogram . Then , the A Draw the diagonal DB . triangles ADB and CBD , will have D C the sides of the one equal to the sides of ...
... parallelogram . In the quadrilateral ABCD , let AB be equal to DC , and AD to BC : then will it be a parallelogram . Then , the A Draw the diagonal DB . triangles ADB and CBD , will have D C the sides of the one equal to the sides of ...
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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.