Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Σελίδα iii
... position , magnitude , and direction , which every child derives from observation ; but it is believed that these notions have been limited and defined with mathematical precision . A few symbols , which stand for words and not for ...
... position , magnitude , and direction , which every child derives from observation ; but it is believed that these notions have been limited and defined with mathematical precision . A few symbols , which stand for words and not for ...
Σελίδα 4
... position , but no extent . DEFINITIONS . 1. DEF . Space or Extension has three Dimensions , called Length , Breadth , and Thickness . 2. DEF . A Point has position without extension . 3. DEF . A Line has only one of the dimensions of ...
... position , but no extent . DEFINITIONS . 1. DEF . Space or Extension has three Dimensions , called Length , Breadth , and Thickness . 2. DEF . A Point has position without extension . 3. DEF . A Line has only one of the dimensions of ...
Σελίδα 5
... position of points . Thus , the figure or form of a line ( straight or curved ) depends upon the relative position of points in that line ; the figure or form of a surface depends upon the relative position of points in that surface ...
... position of points . Thus , the figure or form of a line ( straight or curved ) depends upon the relative position of points in that line ; the figure or form of a surface depends upon the relative position of points in that surface ...
Σελίδα 6
... position of the line is known ; that is , a straight line is determined in position if its direction and one of its points be known . Hence , all straight lines which pass through the same point in the same direction coincide . Between ...
... position of the line is known ; that is , a straight line is determined in position if its direction and one of its points be known . Hence , all straight lines which pass through the same point in the same direction coincide . Between ...
Σελίδα 10
... position 0 A to the position OC , is the Angular Magnitude A O C. If the rotating line move from the position OA to the po- sition O B , perpendicular to O A , it generates a right angle ; to the position O A ' it generates two right ...
... position 0 A to the position OC , is the Angular Magnitude A O C. If the rotating line move from the position OA to the po- sition O B , perpendicular to O A , it generates a right angle ; to the position O A ' it generates two right ...
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.