Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 81.
Σελίδα vi
... line and angle named . He should be encouraged , in reviewing each Book , to do the original exercises ; to state ... a b as a limit ; if , however , x decrease and approach zero as a limit , the area of the rectangle decreases and ...
... line and angle named . He should be encouraged , in reviewing each Book , to do the original exercises ; to state ... a b as a limit ; if , however , x decrease and approach zero as a limit , the area of the rectangle decreases and ...
Σελίδα 4
... lines as having position , but no extent . DEFINITIONS . 1. DEF . Space or ... line may be conceived as traced or generated by a point in motion . 4. DEF ... A B , BD , DC , and AC will generate the sur- faces AF , BH , DK , and AK ...
... lines as having position , but no extent . DEFINITIONS . 1. DEF . Space or ... line may be conceived as traced or generated by a point in motion . 4. DEF ... A B , BD , DC , and AC will generate the sur- faces AF , BH , DK , and AK ...
Σελίδα 7
... line , as A B , A B , has two opposite directions , namely from A toward B , which is expressed by say- ing line AB , and from B toward A , which is expressed by saying line BA . A B с 20. If a straight line change its magnitude , it ...
... line , as A B , A B , has two opposite directions , namely from A toward B , which is expressed by say- ing line AB , and from B toward A , which is expressed by saying line BA . A B с 20. If a straight line change its magnitude , it ...
Σελίδα 9
... lines which meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line AB meet the straight line C D so that the adjacent angles ABC and ABD are equal to ...
... lines which meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line AB meet the straight line C D so that the adjacent angles ABC and ABD are equal to ...
Σελίδα 12
... AB , we shall have one continuous straight line A D equal to the sum of the lines A B and C D. : Again if we have the angles ABC and DEF , by placing the vertex B on E and the side BC in the direction of ED , the angle ABC will take the ...
... AB , we shall have one continuous straight line A D equal to the sum of the lines A B and C D. : Again if we have the angles ABC and DEF , by placing the vertex B on E and the side BC in the direction of ED , the angle ABC will take the ...
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.