Elements of Geometry |
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... dividend and divisor 47 Example ib . Of Algebraic Fractions 49 To abridge an expression when the algebraic division cannot be performed ib . The greatest common divisor of two algebraic quantities 50 To find the greatest common divisor ...
... dividend and divisor 47 Example ib . Of Algebraic Fractions 49 To abridge an expression when the algebraic division cannot be performed ib . The greatest common divisor of two algebraic quantities 50 To find the greatest common divisor ...
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... dividend and divisor Example Of Algebraic Fractions To abridge an expression when the algebraic division cannot be performed The greatest common divisor of two algebraic quantities To find the greatest common divisor Necessary ...
... dividend and divisor Example Of Algebraic Fractions To abridge an expression when the algebraic division cannot be performed The greatest common divisor of two algebraic quantities To find the greatest common divisor Necessary ...
Page 38
... a given product , when the other is known . According to this definition , the quotient multiplied by the divisor must produce anew the dividend . By applying what is here said to simple quantities we 38 Elements of Algebra .
... a given product , when the other is known . According to this definition , the quotient multiplied by the divisor must produce anew the dividend . By applying what is here said to simple quantities we 38 Elements of Algebra .
Page 39
... dividend is formed from the factors of the divisor and those of the quotient ; whence , by suppressing in the dividend all the factors which compose the divisor , the result will be the quotient sought . Let there be , for example , the ...
... dividend is formed from the factors of the divisor and those of the quotient ; whence , by suppressing in the dividend all the factors which compose the divisor , the result will be the quotient sought . Let there be , for example , the ...
Page 40
... dividend and divisor . We see by this , that the proposition , every quantity which has zero for its exponent , is ... dividend ; 2. that the exponent of any letter in the divisor should not exceed that of the same letter in the dividend ...
... dividend and divisor . We see by this , that the proposition , every quantity which has zero for its exponent , is ... dividend ; 2. that the exponent of any letter in the divisor should not exceed that of the same letter in the dividend ...
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Common terms and phrases
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
Popular passages
Page 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 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.
Page 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.
Page 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.
Page 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.
Page 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Page 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.
Page 203 - In every triangle the sum of the three angles is equal to two right angles.
Page 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Page 141 - If a pyramid is cut by a plane parallel to its base, the...