Elements of GeometryHilliard and Metcalf, 1825 - 224 σελίδες |
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Σελίδα iv
... whole passage runs thus ; en changeant le coefficient de l'inconnue qu'on cherche , dans le terme tont connu , et en conservant d'ailleurs les accens tels qu'ils sont . " It is not easy to perceive in what the defect of the translation ...
... whole passage runs thus ; en changeant le coefficient de l'inconnue qu'on cherche , dans le terme tont connu , et en conservant d'ailleurs les accens tels qu'ils sont . " It is not easy to perceive in what the defect of the translation ...
Σελίδα viii
... Whole numbers , except such as are perfect squares , admit of no · · 99 ib . 100 105 ib . 106 . ib . assignable root , either among whole numbers or fractions What is meant by the term incommensurable or irrational How to denote by a ...
... Whole numbers , except such as are perfect squares , admit of no · · 99 ib . 100 105 ib . 106 . ib . assignable root , either among whole numbers or fractions What is meant by the term incommensurable or irrational How to denote by a ...
Σελίδα ix
... whole numbers To extract the cube root of fractions ib . 156 not perfect cubes Method of approximating the cube root of numbers which are Extraction of the roots of higher degrees To extract the roots of literal quantities Of Equations ...
... whole numbers To extract the cube root of fractions ib . 156 not perfect cubes Method of approximating the cube root of numbers which are Extraction of the roots of higher degrees To extract the roots of literal quantities Of Equations ...
Σελίδα 5
... whole of b , or two halves of b , a which reduces itself to augmenting by the half of b , or by 2 a b b 2 It is evident then that + b becomes + ; and by trans- a 2 - b 2 2 2 lating this expression we learn , that of the two parts sought ...
... whole of b , or two halves of b , a which reduces itself to augmenting by the half of b , or by 2 a b b 2 It is evident then that + b becomes + ; and by trans- a 2 - b 2 2 2 lating this expression we learn , that of the two parts sought ...
Σελίδα 15
... whole , that the unknown quantity x is taken so many times as there are units in the difference of the numbers a and b , augmented by the number c , that is to say , so many times as is denoted by the number a b + c ; the two factors of ...
... whole , that the unknown quantity x is taken so many times as there are units in the difference of the numbers a and b , augmented by the number c , that is to say , so many times as is denoted by the number a b + c ; the two factors of ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a² b³ algebraic Algebraic Quantities Arith arithmetic becomes binomial changing the signs coefficient common divisor consequently contains courier cube root decimal deduce denominator denoted divided dividend division employed entire number enunciation equa evident example exponent expression extract the root figures follows formula fraction given in art given number gives greater greatest common divisor last term letters logarithm manner method multiplicand multiplied negative number of arrangements observed obtain operation perfect square polynomials preceding article proposed equation proposed number quan question quotient radical quantities radical sign reduced remainder represented resolve result rule given second degree second member second term simple quantities square root subtract suppose taken tens third tion tities units unity unknown quantity vulgar fractions whence whole numbers
Δημοφιλή αποσπάσματα
Σελίδα 9 - 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 44 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 63 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 101 - Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 8 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 122 - ... is negative in the second member, and greater than the square of half the coefficient of the first power of the unknown quantity, this equation can have only imaginary roots.
Σελίδα 180 - CD, &c., taken together, make up the perimeter of the prism's base : hence the sum of these rectangles, or the convex surface of the prism, is equal to the perimeter of its base multiplied by its altitude.
Σελίδα 54 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Σελίδα 185 - The convex surface of a cone is equal to the circumference of the base multiplied by half the slant height.
Σελίδα 164 - 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.