Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 páginas |
Dentro del libro
Resultados 1-5 de 23
Página 123
... prism . 369. The equal and parallel polygons ABCD E FGHIK , are called the bases of the prism . The other planes taken together , constitute the lateral or convex surface of the prism . The equal straight lines AF , BG , CH , & c ...
... prism . 369. The equal and parallel polygons ABCD E FGHIK , are called the bases of the prism . The other planes taken together , constitute the lateral or convex surface of the prism . The equal straight lines AF , BG , CH , & c ...
Página 124
... prism . In every other case the prism is oblique , and the altitude is less than the side . 372. A prism is triangular , quadrangular , pentagonal , hexago- nal , & c . , according as the base is a triangle , a quadrilateral , a ...
... prism . In every other case the prism is oblique , and the altitude is less than the side . 372. A prism is triangular , quadrangular , pentagonal , hexago- nal , & c . , according as the base is a triangle , a quadrilateral , a ...
Página 128
... prisms are equal , when three planes containing a solid angle of the one are equal to three planes containing a solid ... prism abci . For , let the base ABCDE be placed upon the base abcde , the two bases will coincide . But the three ...
... prisms are equal , when three planes containing a solid angle of the one are equal to three planes containing a solid ... prism abci . For , let the base ABCDE be placed upon the base abcde , the two bases will coincide . But the three ...
Página 129
... prisms , which have equal bases and equal altitudes , are equal . For , since the side AB ab , and the altitude BGbg , the rectangle ABGF = abgf ; the same may be proved with respect to the rectangles BGHC , bghe ; thus the three planes ...
... prisms , which have equal bases and equal altitudes , are equal . For , since the side AB ab , and the altitude BGbg , the rectangle ABGF = abgf ; the same may be proved with respect to the rectangles BGHC , bghe ; thus the three planes ...
Página 130
... ABD - HEF is a prism . The same may be proved with respect to the solid GHF - BCD . We say now that these two prisms are symmetrical with each other . Upon the base ABD make the prism ABD - E'F'H 130 Elements of Geometry .
... ABD - HEF is a prism . The same may be proved with respect to the solid GHF - BCD . We say now that these two prisms are symmetrical with each other . Upon the base ABD make the prism ABD - E'F'H 130 Elements of Geometry .
Otras ediciones - Ver todas
Términos y frases comunes
ABCD adjacent angles algebraic algebraic quantities altitude angle ACB base centre chord circ circle circular sector circumference coefficient common divisor cone consequently contains Corollary cube cylinder Demonstration denominator denoted diameter divided dividend division equal equivalent evident example exponent expression factors figure fraction frustum given gives greater greatest common divisor homologous sides inscribed less letters logarithm manner measure multiplied obtain parallel parallelogram parallelopiped perpendicular plane MN polyedron preceding prism proportion proposed equation proposition quotient radical sign radii radius ratio rectangle reduced regular polygon remainder result right angles Scholium side BC similar solid angle sphere spherical square root straight line substitute subtract suppose term THEOREM third tion triangle ABC triangular pyramids unity unknown quantity vertex whence
Pasajes populares
Página 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 7 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 151 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Página 76 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Página 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Página 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Página 160 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Página 203 - In every triangle the sum of the three angles is equal to two right angles.
Página 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Página 141 - If a pyramid is cut by a plane parallel to its base, the...