Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 páginas |
Dentro del libro
Resultados 1-5 de 22
Página 15
... perimeter of the polygon . sides , are called angles of the polygon . The angles formed by the 19. Polygons are ... perimeters in the same direction , the first side of the one is equal to the first side BOOK I. 15.
... perimeter of the polygon . sides , are called angles of the polygon . The angles formed by the 19. Polygons are ... perimeters in the same direction , the first side of the one is equal to the first side BOOK I. 15.
Página 100
... perimeter and the radius of the inscribed circle . For , let DEF be a circle inscribed in the triangle ABC . Draw OD , OE , and OF , to the points of contact , and OA , OB , and OC , to the verti- ees . The area of OBC will be equal to ...
... perimeter and the radius of the inscribed circle . For , let DEF be a circle inscribed in the triangle ABC . Draw OD , OE , and OF , to the points of contact , and OA , OB , and OC , to the verti- ees . The area of OBC will be equal to ...
Página 125
... perimeters be to each other as any two homologous sides . For , any two homo- logons sides , as AB and FG , are like parts of the perimeters to B H which they belong : hence ( B. II . , P. IX . ) , E K the perimeters of the polygons are ...
... perimeters be to each other as any two homologous sides . For , any two homo- logons sides , as AB and FG , are like parts of the perimeters to B H which they belong : hence ( B. II . , P. IX . ) , E K the perimeters of the polygons are ...
Página 126
... Perimeters of similar polygons are to each other as their homologous diagonals , or as any other homologous lines ; and the polygons are to each other as the squares of their homologous diagonals , or as the squares of any other ...
... Perimeters of similar polygons are to each other as their homologous diagonals , or as any other homologous lines ; and the polygons are to each other as the squares of their homologous diagonals , or as the squares of any other ...
Página 145
... perimeter and the apothem . For , draw lines from the centre to the vertices of the polygon . These lines will ... perimeter and the apothem ; which was to be proved . PROPOSITION IX . THEOREM . The . perimeters of similar 10 BOOK V. 145.
... perimeter and the apothem . For , draw lines from the centre to the vertices of the polygon . These lines will ... perimeter and the apothem ; which was to be proved . PROPOSITION IX . THEOREM . The . perimeters of similar 10 BOOK V. 145.
Otras ediciones - Ver todas
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.