Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 3
... meet is called a Line . The place at which any three of these lines meet is called a Point . If now the block be removed , we may think of the place occupied by the block as being of precisely the same shape and size as the block itself ...
... meet is called a Line . The place at which any three of these lines meet is called a Point . If now the block be removed , we may think of the place occupied by the block as being of precisely the same shape and size as the block itself ...
Σελίδα 7
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . § 18 22. Two straight lines which lie in the same plane DEFINITIONS . 7.
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . § 18 22. Two straight lines which lie in the same plane DEFINITIONS . 7.
Σελίδα 8
... meet . Two straight lines which meet have different directions ; for if they had the same direction they would never meet ( § 21 ) , which is contrary to the hypothesis that they do meet . ON PLANE ANGLES . 23. DEF . An Angle is the ...
... meet . Two straight lines which meet have different directions ; for if they had the same direction they would never meet ( § 21 ) , which is contrary to the hypothesis that they do meet . ON PLANE ANGLES . 23. DEF . An Angle is the ...
Σελίδα 9
... 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 CD so that the adjacent angles ABC and ABD are equal to one another ...
... 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 CD so that the adjacent angles ABC and ABD are equal to one another ...
Σελίδα 19
... meet the line CB at E. AC + CE > AO + OE , ( a straight line is the shortest distance between two points ) , and BE + OE > BO . Add these inequalities , and we have CA + CE + BE + OE > OA + OE + O B. Substitute for CE + BE its equal C B ...
... meet the line CB at E. AC + CE > AO + OE , ( a straight line is the shortest distance between two points ) , and BE + OE > BO . Add these inequalities , and we have CA + CE + BE + OE > OA + OE + O B. Substitute for CE + BE its equal C B ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB AB² ABCD adjacent angles apothem arc A B base and altitude BC² centre centre of symmetry circumference circumscribed construct a square COROLLARY decagon 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 homologous sides hypotenuse intersecting 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 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 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 136 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 207 - Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon.
Σελίδα 202 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 142 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 72 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector, but within the angle, is unequally distant from the sides of the angle.
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 146 - 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'.