Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα vi
... operations of algebra , when I have thought it neces- sary , but I have guarded against involving in difficult operations what ought by its nature to be simple ; and all the use I have made of algebra in these elements consists , as I ...
... operations of algebra , when I have thought it neces- sary , but I have guarded against involving in difficult operations what ought by its nature to be simple ; and all the use I have made of algebra in these elements consists , as I ...
Σελίδα ix
... operations to which it is to be subjected , we distinguish it by a letter of the alphabet , which thus becomes an abridged name for this magnitude . I. + signifies plus or added to . The expression A + B indicates the sum which results ...
... operations to which it is to be subjected , we distinguish it by a letter of the alphabet , which thus becomes an abridged name for this magnitude . I. + signifies plus or added to . The expression A + B indicates the sum which results ...
Σελίδα xi
... operation be performed upon the two ratios of a proportion , there will evidently result from it two new ratios equal to each other , and consequently a new proportion . Let there be , for example , the proportion , we shall have or 4 ...
... operation be performed upon the two ratios of a proportion , there will evidently result from it two new ratios equal to each other , and consequently a new proportion . Let there be , for example , the proportion , we shall have or 4 ...
Σελίδα xv
... operations , which are made upon proportional quantities , it is necessary to regard the terms of the proportion as so many numbers , each of its proper kind ; then we shall have no diffi- culty in conceiving of these operations and of ...
... operations , which are made upon proportional quantities , it is necessary to regard the terms of the proportion as so many numbers , each of its proper kind ; then we shall have no diffi- culty in conceiving of these operations and of ...
Σελίδα 41
... operation , we may never arrive at a remainder , which shall be exactly con- tained a certain number of times in the preceding . In this case the two lines have no common measure , and they are said to be incommensurable . We shall see ...
... operation , we may never arrive at a remainder , which shall be exactly con- tained a certain number of times in the preceding . In this case the two lines have no common measure , and they are said to be incommensurable . We shall see ...
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...