Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα vii
... QUADRILATERALS POLYGONS IN GENERAL . BOOK II . CIRCLES . DEFINITIONS . • STRAIGHT LINES AND CIRCLES MEASUREMENT THEORY OF LIMITS SUPPLEMENTARY PROPOSITIONS CONSTRUCTIONS . PAGE 3 4 6 7 9 10 11 12 13 14 24 37 58 68 73 75 86 . 87 100 ...
... QUADRILATERALS POLYGONS IN GENERAL . BOOK II . CIRCLES . DEFINITIONS . • STRAIGHT LINES AND CIRCLES MEASUREMENT THEORY OF LIMITS SUPPLEMENTARY PROPOSITIONS CONSTRUCTIONS . PAGE 3 4 6 7 9 10 11 12 13 14 24 37 58 68 73 75 86 . 87 100 ...
Σελίδα 57
... the sides of the AA ' B ' C ' . .. these Is meet in a point . $ 120 ( the threes erected at the middle points of the sides of a △ meet in a point ) . Q. E. D. ON QUADRILATERALS . 122. DEF . A Quadrilateral is a TRIANGLES . 57.
... the sides of the AA ' B ' C ' . .. these Is meet in a point . $ 120 ( the threes erected at the middle points of the sides of a △ meet in a point ) . Q. E. D. ON QUADRILATERALS . 122. DEF . A Quadrilateral is a TRIANGLES . 57.
Σελίδα 58
George Albert Wentworth. ON QUADRILATERALS . 122. DEF . A Quadrilateral is a plane figure bounded by four straight lines . 123. DEF . A Trapezium is a quadrilateral which has no two sides parallel . 124. DEF . A Trapezoid is a ...
George Albert Wentworth. ON QUADRILATERALS . 122. DEF . A Quadrilateral is a plane figure bounded by four straight lines . 123. DEF . A Trapezium is a quadrilateral which has no two sides parallel . 124. DEF . A Trapezoid is a ...
Σελίδα 59
... quadrilateral is a straight line joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The ... QUADRILATERALS . 59.
... quadrilateral is a straight line joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The ... QUADRILATERALS . 59.
Σελίδα 60
... and we have = LBACZ EAC ZACE + ZACB ; or , ZBAE : = LBCE . § 133 Q. E. D. 135. COROLLARY . Parallel lines comprehended between par- allel lines are equal . PROPOSITION XL . THEOREM . 136. If a quadrilateral have 60 GEOMETRY.- BOOK I.
... and we have = LBACZ EAC ZACE + ZACB ; or , ZBAE : = LBCE . § 133 Q. E. D. 135. COROLLARY . Parallel lines comprehended between par- allel lines are equal . PROPOSITION XL . THEOREM . 136. If a quadrilateral have 60 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