Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 17.
Σελίδα vi
... contained in [ 4 ] , page 88. If x increase and approach the altitude a as a limit , the area of the rec- tangle increases and approaches the area of the rectangle a b as a limit ; if , however , x decrease and approach zero as a limit ...
... contained in [ 4 ] , page 88. If x increase and approach the altitude a as a limit , the area of the rec- tangle increases and approaches the area of the rectangle a b as a limit ; if , however , x decrease and approach zero as a limit ...
Σελίδα 86
... contained in a ; or , what part a is of b . or a : b , and by this a b- I. If b be contained an exact number of times in a their ratio is a whole number . If b be not contained an exact number of times in a , but if there be a common ...
... contained in a ; or , what part a is of b . or a : b , and by this a b- I. If b be contained an exact number of times in a their ratio is a whole number . If b be not contained an exact number of times in a , but if there be a common ...
Σελίδα 87
... contained m ' times in a with a remainder 1 less than part of b , then n2 of the ratio , correct within b ' m ' n2 is a nearer approximate value 1 2 n By continuing this process , a series of variable values , m'm " n2 n n2 39 etc ...
... contained m ' times in a with a remainder 1 less than part of b , then n2 of the ratio , correct within b ' m ' n2 is a nearer approximate value 1 2 n By continuing this process , a series of variable values , m'm " n2 n n2 39 etc ...
Σελίδα 90
... contain one or more of the factors v , v ' , v ' , and hence have zero for a limit . .. lim . ( x y z ) But lim . ( a b c ... contained in Proposition I .; and it will be left as an exercise for the student to determine in each case what ...
... contain one or more of the factors v , v ' , v ' , and hence have zero for a limit . .. lim . ( x y z ) But lim . ( a b c ... contained in Proposition I .; and it will be left as an exercise for the student to determine in each case what ...
Σελίδα 91
... contained in A B three times , and in AC five times . Then arc AB arc A C = 3 5 • At the several points of division on A B and A C draw radii . These radii will divide AOC into five equal parts , of which AOB will contain three , § 180 ...
... contained in A B three times , and in AC five times . Then arc AB arc A C = 3 5 • At the several points of division on A B and A C draw radii . These radii will divide AOC into five equal parts , of which AOB will contain three , § 180 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.