Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 sider |
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Side 213
... equation to the other To disengage an unknown quantity from multipliers Of equations , the terms of which have divisors Rule for making the denominators in an equation to disappear To write a question in the form of an equation Examples ...
... equation to the other To disengage an unknown quantity from multipliers Of equations , the terms of which have divisors Rule for making the denominators in an equation to disappear To write a question in the form of an equation Examples ...
Side
... equations of the first degree , when there are two un- known quantities 81 Of the resolution of any given number of equations of the first degree , containing an equal number of unknown quantities General rule for deducing an equation ...
... equations of the first degree , when there are two un- known quantities 81 Of the resolution of any given number of equations of the first degree , containing an equal number of unknown quantities General rule for deducing an equation ...
Side
... equations The form which equations assume Of the root of an equation Fundamental proposition of the theory Of the decomposition of an equation into simple factors The number of divisors of the first degree , which any equation can have - An ...
... equations The form which equations assume Of the root of an equation Fundamental proposition of the theory Of the decomposition of an equation into simple factors The number of divisors of the first degree , which any equation can have - An ...
Side
... equations and indi- cation of the degree of the final equation Of commensurable roots , and the equal roots of numerical equa- tions 190 192 193 194 198 · 199 Every equation , the coefficients of which are entire numbers that of the ...
... equations and indi- cation of the degree of the final equation Of commensurable roots , and the equal roots of numerical equa- tions 190 192 193 194 198 · 199 Every equation , the coefficients of which are entire numbers that of the ...
Side 11
... equation is an expression of the equality of two quantities . The quantities which are on one side of the sign = taken together are called a member ; an equation has two members . That which is ... equation 3x + 7 = 8x 12 has Equations . 11.
... equation is an expression of the equality of two quantities . The quantities which are on one side of the sign = taken together are called a member ; an equation has two members . That which is ... equation 3x + 7 = 8x 12 has Equations . 11.
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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...