Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 páginas |
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Página iii
... manner of Euclid . It was thought more convenient for purposes of refer- ence to number definitions , propositions , corollaries , & c . , in one continued series . Moreover the work is considered as divided into two parts , one ...
... manner of Euclid . It was thought more convenient for purposes of refer- ence to number definitions , propositions , corollaries , & c . , in one continued series . Moreover the work is considered as divided into two parts , one ...
Página iv
Adrien Marie Legendre. same manner ; and may be passed over or not in the first read- ing at the discretion of the teacher . As the reader is supposed to be acquainted with algebraical signs and the theory of proportions , a brief ...
Adrien Marie Legendre. same manner ; and may be passed over or not in the first read- ing at the discretion of the teacher . As the reader is supposed to be acquainted with algebraical signs and the theory of proportions , a brief ...
Página vii
... manner of Archimedes . We have then given two methods of approxima- tion for squaring the circle , one of which is that of James Gre- gory . This section is followed by an appendix , in which we have demonstrated that the circle is ...
... manner of Archimedes . We have then given two methods of approxima- tion for squaring the circle , one of which is that of James Gre- gory . This section is followed by an appendix , in which we have demonstrated that the circle is ...
Página x
... manner 89 , which is between 64 , the cube of 4 , and 125 , the cube of 5 , has for its cube root a numbeit between 4 and 5 , but which cannot be exactly assigned . Algebra furnishes methods for approximating , as nearly as we please ...
... manner 89 , which is between 64 , the cube of 4 , and 125 , the cube of 5 , has for its cube root a numbeit between 4 and 5 , but which cannot be exactly assigned . Algebra furnishes methods for approximating , as nearly as we please ...
Página xiii
... manner with any number of equal ratios , it will be seen that , the sum of any number whatever of antecedents is to the sum of their consequents , as one antecedent is to its consequent . V. Let there be any two proportions A : B :: C ...
... manner with any number of equal ratios , it will be seen that , the sum of any number whatever of antecedents is to the sum of their consequents , as one antecedent is to its consequent . V. Let there be any two proportions A : B :: C ...
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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...