Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Σελίδα 74
... Segment of a circle is a portion of a circle enclosed by an arc and its chord , as A M B , Fig . 1 . 168. DEF . A Semicircle is a segment equal to one half the circle , as A DC , Fig . 1. ( L , a outle 2. ) 169. DEF . A Sector of a ...
... Segment of a circle is a portion of a circle enclosed by an arc and its chord , as A M B , Fig . 1 . 168. DEF . A Semicircle is a segment equal to one half the circle , as A DC , Fig . 1. ( L , a outle 2. ) 169. DEF . A Sector of a ...
Σελίδα 75
... segment A M B on A B as an axis until it comes into the plane of APB , the arc AMB will coincide with the arc APB ; because every point in each is equally dis- tant from the centre 0 . A 0 B P chord . PROPOSITION I. THEOREM . 177. The ...
... segment A M B on A B as an axis until it comes into the plane of APB , the arc AMB will coincide with the arc APB ; because every point in each is equally dis- tant from the centre 0 . A 0 B P chord . PROPOSITION I. THEOREM . 177. The ...
Σελίδα 95
... segment greater than a semicircle is an acute angle ; for it is measured by an arc less than one - half a semi - circumference ; i . e . by an arc less than 90 ° . 206. COR . 3. An angle inscribed in a segment less than a semicircle is ...
... segment greater than a semicircle is an acute angle ; for it is measured by an arc less than one - half a semi - circumference ; i . e . by an arc less than 90 ° . 206. COR . 3. An angle inscribed in a segment less than a semicircle is ...
Σελίδα 125
... segment A H B is the segment required . Q. E. F. PROPOSITION XLII . PROBLEM . 244. To find the ratio of two commensurable straight lines . A CL E H B K UD F Let A B and CD be two straight lines . It is required to find the greatest ...
... segment A H B is the segment required . Q. E. F. PROPOSITION XLII . PROBLEM . 244. To find the ratio of two commensurable straight lines . A CL E H B K UD F Let A B and CD be two straight lines . It is required to find the greatest ...
Σελίδα 150
... segments of the hypotenuse . III . Each side of the right triangle is a mean pro- portional between the hypotenuse and its adjacent segment . IV . The squares on the two sides of the right triangle have the same ratio as the adjacent ...
... segments of the hypotenuse . III . Each side of the right triangle is a mean pro- portional between the hypotenuse and its adjacent segment . IV . The squares on the two sides of the right triangle have the same ratio as the adjacent ...
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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