Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 σελίδες |
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Σελίδα vi
... rules of alge- bra ; such as the addition and subtraction of quantities , and the most simple operations belonging to equations of the first degree . The ancients , who had not a knowledge of algebra , supplied the want of it by ...
... rules of alge- bra ; such as the addition and subtraction of quantities , and the most simple operations belonging to equations of the first degree . The ancients , who had not a knowledge of algebra , supplied the want of it by ...
Σελίδα
... Rule respecting the signs 33 Rules for performir.g multiplication ib . Examples for illustration 34 Of homogeneous expressions 37 Expression of the product of the sum of two quantities by their difference ib . Of the square and cube of ...
... Rule respecting the signs 33 Rules for performir.g multiplication ib . Examples for illustration 34 Of homogeneous expressions 37 Expression of the product of the sum of two quantities by their difference ib . Of the square and cube of ...
Σελίδα 213
... Rule for making the denominators in an equation to disappear To write a question in the form of an equation Examples ... Rule for performing addition 25 Rule for the reduction of algebraic quantities ib . Subtraction of algebraic ...
... Rule for making the denominators in an equation to disappear To write a question in the form of an equation Examples ... Rule for performing addition 25 Rule for the reduction of algebraic quantities ib . Subtraction of algebraic ...
Σελίδα
Adrien Marie Legendre. Method of finding the powers of a number Rule for the multiplication of simple quantities What ... Rules for performing multiplication Examples for illustration Of homogeneous expressions Expression of the product ...
Adrien Marie Legendre. Method of finding the powers of a number Rule for the multiplication of simple quantities What ... Rules for performing multiplication Examples for illustration Of homogeneous expressions Expression of the product ...
Σελίδα
... rule for deducing an equation having only one un- known quantity by exterminating or eliminating successively all the rest Examples to illustrate the above rule Questions to be performed General formulas for the resolution of equations ...
... rule for deducing an equation having only one un- known quantity by exterminating or eliminating successively all the rest Examples to illustrate the above rule Questions to be performed General formulas for the resolution of equations ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Σελίδα 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.
Σελίδα 203 - In every triangle the sum of the three angles is equal to two right angles.
Σελίδα 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Σελίδα 141 - If a pyramid is cut by a plane parallel to its base, the...