Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 sider |
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Side iii
... solids ; and the subdivisions of each part are denominated sec- tions . The translator has omitted a number of propositions on spher- ical isoperimetrical figures terminating the third section of the second part , an appendix to the ...
... solids ; and the subdivisions of each part are denominated sec- tions . The translator has omitted a number of propositions on spher- ical isoperimetrical figures terminating the third section of the second part , an appendix to the ...
Side v
... solids , which has hitherto been the most neglected . The definition of a straight line being the most important of the elements , I have wished to be able to give to it all the exact- ness and precision of which it is susceptible ...
... solids , which has hitherto been the most neglected . The definition of a straight line being the most important of the elements , I have wished to be able to give to it all the exact- ness and precision of which it is susceptible ...
Side vi
... solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet , those of perpendiculars , the theorem upon the sum of the angles of a triangle , the theory of parallel lines ...
... solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet , those of perpendiculars , the theorem upon the sum of the angles of a triangle , the theory of parallel lines ...
Side vii
... solid angles . This part is very necessary for the understanding of solids and of figures in which different planes are considered . We have endeavoured to render it more clear and more rigorous than it is in common works . The second ...
... solid angles . This part is very necessary for the understanding of solids and of figures in which different planes are considered . We have endeavoured to render it more clear and more rigorous than it is in common works . The second ...
Side 1
... solid is that , which unites the three dimensions of ex- tension . 9. When two straight lines , AB , AC ( fig . 2 ) , meet , the quan- Fig . 2 . tity , whether greater or less , by which they depart from each other as to their position ...
... solid is that , which unites the three dimensions of ex- tension . 9. When two straight lines , AB , AC ( fig . 2 ) , meet , the quan- Fig . 2 . tity , whether greater or less , by which they depart from each other as to their position ...
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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...