Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Σελίδα 22
... erected , I. Any point in the perpendicular is at equal distances from the extremities of the straight line . II . Any point without the perpendicular is at unequal distances from the extremities of the straight line . D R A P B Let PR ...
... erected , I. Any point in the perpendicular is at equal distances from the extremities of the straight line . II . Any point without the perpendicular is at unequal distances from the extremities of the straight line . D R A P B Let PR ...
Σελίδα 23
... erected at the middle of a straight line is the locus of all points equally distant from the extremi- ties of that straight line . 60. SCHOLIUM . Since two points determine the position of a straight line , two points equally distant ...
... erected at the middle of a straight line is the locus of all points equally distant from the extremi- ties of that straight line . 60. SCHOLIUM . Since two points determine the position of a straight line , two points equally distant ...
Σελίδα 55
... erected at the middle points of the three sides of a triangle meet in a point . A B D F E 0 DI E C F Let DD ' , EE ' , FF , be three perpendiculars erected at D , E , F , the middle points of A B , A C , and BC . We are to prove they ...
... erected at the middle points of the three sides of a triangle meet in a point . A B D F E 0 DI E C F Let DD ' , EE ' , FF , be three perpendiculars erected at D , E , F , the middle points of A B , A C , and BC . We are to prove they ...
Σελίδα 57
... erected at the middle points of the sides of the AA ' B ' C ' . ..these Is meet in a point . $ 120 ( the three erected at the middle points of the sides of a △ meet in a point ) . Q. E. D. ON QUADRILATERALS . 122. DEF . A Quadrilateral ...
... erected at the middle points of the sides of the AA ' B ' C ' . ..these Is meet in a point . $ 120 ( the three erected at the middle points of the sides of a △ meet in a point ) . Q. E. D. ON QUADRILATERALS . 122. DEF . A Quadrilateral ...
Σελίδα 81
... . COROLLARY . The perpendicular erected at the middle of a chord passes through the centre of the circle , and bisects the arc of the chord . 0-4 PROPOSITION VIII . THEOREM . 185. In the same STRAIGHT LINES AND CIRCLES . 81.
... . COROLLARY . The perpendicular erected at the middle of a chord passes through the centre of the circle , and bisects the arc of the chord . 0-4 PROPOSITION VIII . THEOREM . 185. In the same STRAIGHT LINES AND CIRCLES . 81.
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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