Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 22.
Σελίδα 23
... Show that the bisectors of two vertical angles form one and the same straight line . 6. Show that the two straight lines which bisect the two pairs of vertical angles are perpendicular to each other . PROPOSITION IX . THEOREM . 61. At a ...
... Show that the bisectors of two vertical angles form one and the same straight line . 6. Show that the two straight lines which bisect the two pairs of vertical angles are perpendicular to each other . PROPOSITION IX . THEOREM . 61. At a ...
Σελίδα 39
... Show that the two equal straight lines drawn from a point to a straight line make equal acute angles with that line . 4. Show that , if two angles have their sides perpendicular , each to each , they are either equal or supplementary ...
... Show that the two equal straight lines drawn from a point to a straight line make equal acute angles with that line . 4. Show that , if two angles have their sides perpendicular , each to each , they are either equal or supplementary ...
Σελίδα 47
... . Q. E. D. Ex . If the equal sides of an isosceles triangle be produced , show that the angles formed with the base by the sides produced are equal . PROPOSITION XXIX . THEOREM . 113. A straight line which TRIANGLES . 47.
... . Q. E. D. Ex . If the equal sides of an isosceles triangle be produced , show that the angles formed with the base by the sides produced are equal . PROPOSITION XXIX . THEOREM . 113. A straight line which TRIANGLES . 47.
Σελίδα 49
... side and an acute of the other ) . .. ABAC , ( being homologous sides of equal △ ) . Q. E. D. Ex . Show that an equiangular triangle is also equilateral . PROPOSITION XXXI . THEOREM . 115. If two triangles have TRIANGLES . 49.
... side and an acute of the other ) . .. ABAC , ( being homologous sides of equal △ ) . Q. E. D. Ex . Show that an equiangular triangle is also equilateral . PROPOSITION XXXI . THEOREM . 115. If two triangles have TRIANGLES . 49.
Σελίδα 52
... triangles on the same base A B , and on the same side of it , the vertex of each triangle being without the other . If AC equal AD , show that BC cannot equal B D. PROPOSITION XXXIV . THEOREM . 118. Of two angles of 52 GEOMETRY . BOOK I.
... triangles on the same base A B , and on the same side of it , the vertex of each triangle being without the other . If AC equal AD , show that BC cannot equal B D. PROPOSITION XXXIV . THEOREM . 118. Of two angles of 52 GEOMETRY . BOOK I.
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices