Elements of GeometryHilliard and Metcalf, 1825 - 224 σελίδες |
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Αποτελέσματα 1 - 5 από τα 74.
Σελίδα vii
... known quantity 79 To resolve 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 ...
... known quantity 79 To resolve 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 ...
Σελίδα 1
... known , by adding to it this excess we have the greater ; 2 , that , The greater added to the less forms the number to Alg . 1 Preliminary Remarks upon the Transition from Arithmetic Algebra The nature and object of algebra Explanation ...
... known , by adding to it this excess we have the greater ; 2 , that , The greater added to the less forms the number to Alg . 1 Preliminary Remarks upon the Transition from Arithmetic Algebra The nature and object of algebra Explanation ...
Σελίδα 3
... known . It is from the use of these several signs that we derive the science of Algebra . I now proceed by means of them to consider the question stated above ( 1 ) . I shall represent the unknown quantity , or the less number , by the ...
... known . It is from the use of these several signs that we derive the science of Algebra . I now proceed by means of them to consider the question stated above ( 1 ) . I shall represent the unknown quantity , or the less number , by the ...
Σελίδα 6
... known numbers . I will suppose that the number to be divided is 230 ; that the excess of the middle part above the least is 40 ; and that of the greatest above the middle one is 60 . Denoting the least part by x , the middle one will be ...
... known numbers . I will suppose that the number to be divided is 230 ; that the excess of the middle part above the least is 40 ; and that of the greatest above the middle one is 60 . Denoting the least part by x , the middle one will be ...
Σελίδα 7
... known numbers were different from those which I have used in the enunciation , we should still resolve the question by following the course pursued in the preceding article , but we should be obliged to repeat all the reasonings and all ...
... known numbers were different from those which I have used in the enunciation , we should still resolve the question by following the course pursued in the preceding article , but we should be obliged to repeat all the reasonings and all ...
Περιεχόμενα
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160 | |
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59 | |
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149 | |
150 | |
13 | |
27 | |
36 | |
8 | |
22 | |
44 | |
77 | |
86 | |
220 | |
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.