Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Αποτελέσματα 6 - 10 από τα 16.
Σελίδα 99
... tangent and a chord is measured by the incepted arc ) , and ZOAB is measured by arc A S B. ..ZO is measured by arc AMB arc ASB . CASE III . - Let the angle 0 ( Fig . 3 ) be formed by the tangent OB and the secant O A. We are to prove 20 ...
... tangent and a chord is measured by the incepted arc ) , and ZOAB is measured by arc A S B. ..ZO is measured by arc AMB arc ASB . CASE III . - Let the angle 0 ( Fig . 3 ) be formed by the tangent OB and the secant O A. We are to prove 20 ...
Σελίδα 100
... tangents MN and OP ( Fig . 2 ) divide the circumference in two semi - circumferences ACB and AQ B , and the line A B joining the points of contact of the two tangents is a diameter of the circle . PROPOSITION XIX . THEOREM . 213. If the ...
... tangents MN and OP ( Fig . 2 ) divide the circumference in two semi - circumferences ACB and AQ B , and the line A B joining the points of contact of the two tangents is a diameter of the circle . PROPOSITION XIX . THEOREM . 213. If the ...
Σελίδα 103
... the distance between the two given points , then the two arcs described will be tangent to each other , and the point of tan- gency will be the point required . Let the distance from A to B equal n + CONSTRUCTIONS . 103 CONSTRUCTIONS.
... the distance between the two given points , then the two arcs described will be tangent to each other , and the point of tan- gency will be the point required . Let the distance from A to B equal n + CONSTRUCTIONS . 103 CONSTRUCTIONS.
Σελίδα 111
... tangent externally or internally to a given cir- cumference . 3. A straight line is drawn through a given point A , inter- secting a given circumference at B and C. Find the locus of the middle point P of the intercepted chord B C ...
... tangent externally or internally to a given cir- cumference . 3. A straight line is drawn through a given point A , inter- secting a given circumference at B and C. Find the locus of the middle point P of the intercepted chord B C ...
Σελίδα 122
... tangent to the circle at C. From the centre O , draw the radius OC . At the extremity of the radius , C , draw CM to 0 C. Then CM is the tangent required , § 186 ( a straight line to a radius at its extremity is tangent to the O ) ...
... tangent to the circle at C. From the centre O , draw the radius OC . At the extremity of the radius , C , draw CM to 0 C. Then CM is the tangent required , § 186 ( a straight line to a radius at its extremity is tangent to the O ) ...
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'.