Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Αποτελέσματα 6 - 10 από τα 30.
Σελίδα 24
... falls on B , the side E B continuing in the line CD . Then the line E A will take the position B F. Now if A E be 1 to C D , B F is 1 to C D , and there will be two to CD at the point B ; which is impossible . In like manner , it may be ...
... falls on B , the side E B continuing in the line CD . Then the line E A will take the position B F. Now if A E be 1 to C D , B F is 1 to C D , and there will be two to CD at the point B ; which is impossible . In like manner , it may be ...
Σελίδα 27
... fall on O B , point C will fall upon B , ( since LCOD = ZBO A , being vertical △ ) ; and Then ( since OC = 0 B by construction ) . LCD will coincide with BA , § 61 ( from a point without a straight line only one to that line can be ...
... fall on O B , point C will fall upon B , ( since LCOD = ZBO A , being vertical △ ) ; and Then ( since OC = 0 B by construction ) . LCD will coincide with BA , § 61 ( from a point without a straight line only one to that line can be ...
Σελίδα 34
... fall on PC , ( ≤ M P K = 2 MP F , each being a rt . △ ) ; and the point K will fall on PC . Since the point K falls in both the lines E F and PC , it must fall at their point of intersection F. .. HIKE F , EF , ( their extremities ...
... fall on PC , ( ≤ M P K = 2 MP F , each being a rt . △ ) ; and the point K will fall on PC . Since the point K falls in both the lines E F and PC , it must fall at their point of intersection F. .. HIKE F , EF , ( their extremities ...
Σελίδα 42
... fall upon the point C ' , ( for A CA ' C ' , by hyp . ) ; ..CB = C'B ' , ( their extremities being the same points ) . $ 18 3.5 . .. the two A coincide , and are equal in all respects . Q. E. D. PROPOSITION XXIV . THEOREM . 107. Two ...
... fall upon the point C ' , ( for A CA ' C ' , by hyp . ) ; ..CB = C'B ' , ( their extremities being the same points ) . $ 18 3.5 . .. the two A coincide , and are equal in all respects . Q. E. D. PROPOSITION XXIV . THEOREM . 107. Two ...
Σελίδα 43
... fall upon B'C ' or B'C ' produced . .. the point C , falling upon both the lines A'C ' and B ' C ' , must fall upon a point common to the two lines , namely , C ' . .. the two coincide , and are equal in all respects . Q. E. D. ...
... fall upon B'C ' or B'C ' produced . .. the point C , falling upon both the lines A'C ' and B ' C ' , must fall upon a point common to the two lines , namely , C ' . .. the two coincide , and are equal in all respects . Q. E. D. ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD acute adjacent angles alt.-int altitude apothem arc A B BC² bisect centre chord A B circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse Iden isosceles triangle Let A B 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