Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 sider |
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Side 124
... pyramid , the point S its vertex , and the triangles ASB , BSC , & c . , compose the lateral or convex surface of the pyramid . 376. The altitude of a pyramid is the perpendicular let fall from the vertex upon the plane of the base ...
... pyramid , the point S its vertex , and the triangles ASB , BSC , & c . , compose the lateral or convex surface of the pyramid . 376. The altitude of a pyramid is the perpendicular let fall from the vertex upon the plane of the base ...
Side 125
... pyramids , which have for their common base the above triangle ; and these several pyramids will deter- mine the positions of the several solid angles of the polyedron with respect to the base . This being supposed ; Two polyedrons are ...
... pyramids , which have for their common base the above triangle ; and these several pyramids will deter- mine the positions of the several solid angles of the polyedron with respect to the base . This being supposed ; Two polyedrons are ...
Side 139
... pyramid S - ABCDE ( fig . 214 ) is cut by a plane abd , Fig . 214 . parallel to the base , 1. The sides SA , SB , SC , ..... and the altitude SO , will be divided proportionally in a , b , c , ..... and o ; 2. The section abcde will be ...
... pyramid S - ABCDE ( fig . 214 ) is cut by a plane abd , Fig . 214 . parallel to the base , 1. The sides SA , SB , SC , ..... and the altitude SO , will be divided proportionally in a , b , c , ..... and o ; 2. The section abcde will be ...
Side 140
... pyramid S - ABC may be con- sidered as composed of two prisms AGH - FDE , EGI - CFH , equiv- alent to each other , and two equal pyramids S - DEF , E - GBI . Demonstration . It follows from the construction , that ED is parallel to BA ...
... pyramid S - ABC may be con- sidered as composed of two prisms AGH - FDE , EGI - CFH , equiv- alent to each other , and two equal pyramids S - DEF , E - GBI . Demonstration . It follows from the construction , that ED is parallel to BA ...
Side 141
... pyramid S - ABC there will remain only the two pyramids S - DEF , E - GBI ; now we say that these two pyramids are equal to each other . Indeed , since the following sides are equal , namely , BESE , BG = AG = DE , EG = AD = SD , the ...
... pyramid S - ABC there will remain only the two pyramids S - DEF , E - GBI ; now we say that these two pyramids are equal to each other . Indeed , since the following sides are equal , namely , BESE , BG = AG = DE , EG = AD = SD , the ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Side 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.
Side 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.
Side 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.
Side 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.
Side 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Side 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.
Side 203 - In every triangle the sum of the three angles is equal to two right angles.
Side 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Side 141 - If a pyramid is cut by a plane parallel to its base, the...