Elements of GeometryGinn, Heath & Company, 1884 |
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Σελίδα 72
... intercepted between the two sides is equal to one half the base . 10. ABCD is a parallelogram , E and F the middle points of AD and BC respectively ; show that BE and DF will trisect the diagonal A C. 11. If from any point in the base ...
... intercepted between the two sides is equal to one half the base . 10. ABCD is a parallelogram , E and F the middle points of AD and BC respectively ; show that BE and DF will trisect the diagonal A C. 11. If from any point in the base ...
Σελίδα 74
... intercept , as A CP , Fig . 2 . 170. DEF . A Tangent is a straight line which touches the circumference but does not intersect it , however far produced . The point in which the tangent touches the circumference is called the Point of ...
... intercept , as A CP , Fig . 2 . 170. DEF . A Tangent is a straight line which touches the circumference but does not intersect it , however far produced . The point in which the tangent touches the circumference is called the Point of ...
Σελίδα 77
... intercept equal arcs on the circumference . R S R A B A ' BI P P In the equal circles ABP and A'B'P ' let 20 = 20 ' . We are to prove arc RS = arc R ' S ' . Apply O ABP to OA'B ' P ' , so that shall coincide with O ' . The point R will ...
... intercept equal arcs on the circumference . R S R A B A ' BI P P In the equal circles ABP and A'B'P ' let 20 = 20 ' . We are to prove arc RS = arc R ' S ' . Apply O ABP to OA'B ' P ' , so that shall coincide with O ' . The point R will ...
Σελίδα 80
... RS = arc R ' S ' , Hyp . 176 § 176 $ 108 $ 179 ( in the same O , or equal , equal at the centre intercept equal arcs on the circumference ) . Q. E. D. PROPOSITION VII . THEOREM . 183. The radius perpendicular to 80 BOOK II . GEOMETRY . -
... RS = arc R ' S ' , Hyp . 176 § 176 $ 108 $ 179 ( in the same O , or equal , equal at the centre intercept equal arcs on the circumference ) . Q. E. D. PROPOSITION VII . THEOREM . 183. The radius perpendicular to 80 BOOK II . GEOMETRY . -
Σελίδα 81
... intercept equal arcs on the circumference ) . Q. E. D. 184. COROLLARY . The perpendicular erected at the middle of a chord passes through the centre of the circle , and bisects the arc of the chord . PROPOSITION VIII . THEOREM . 185. In ...
... intercept equal arcs on the circumference ) . Q. E. D. 184. COROLLARY . The perpendicular erected at the middle of a chord passes through the centre of the circle , and bisects the arc of the chord . PROPOSITION VIII . THEOREM . 185. In ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC 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 equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B Mailing price measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY 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 vertex vertices Wentworth