Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 73
... semicircle , and the arc ADB is a semicircumference . PROP . II . THEOR . A straight line cuts the circumference of a cir- ele only in two points . If the straight line AB cut the circumference of a circle in D , it can only meet it ...
... semicircle , and the arc ADB is a semicircumference . PROP . II . THEOR . A straight line cuts the circumference of a cir- ele only in two points . If the straight line AB cut the circumference of a circle in D , it can only meet it ...
Seite 88
... semicircle is a right angle , the angle in a greater segment is acute , and the angle in a smaller segment is obtuse . Let ABD be an angle in a semicircle , or that stands on the semicircumference AED ; it is a right angle . For ABD ...
... semicircle is a right angle , the angle in a greater segment is acute , and the angle in a smaller segment is obtuse . Let ABD be an angle in a semicircle , or that stands on the semicircumference AED ; it is a right angle . For ABD ...
Seite 89
... semicircle . Schol . From the remarkable property , that the angle in a semicircle is a right angle , may be derived an elegant me- thod of drawing perpendiculars . PROP . XX . THEOR . The perpendicular at the extremity of a diame- ter ...
... semicircle . Schol . From the remarkable property , that the angle in a semicircle is a right angle , may be derived an elegant me- thod of drawing perpendiculars . PROP . XX . THEOR . The perpendicular at the extremity of a diame- ter ...
Seite 90
... , the angle KBA is a- cute , and consequently its adjacent angle D'BA is obtuse . Thus the revolving line DE , when it meets the semicir- cumference AHB , makes an acute angle with the diame- 90 ELEMENTS OF GEOMETRY .
... , the angle KBA is a- cute , and consequently its adjacent angle D'BA is obtuse . Thus the revolving line DE , when it meets the semicir- cumference AHB , makes an acute angle with the diame- 90 ELEMENTS OF GEOMETRY .
Seite 91
... semicircle ; wherefore AEB is a right angle ( III . 19. ) , and the remaining acute an- gles BAE , ABE of the triangle , be- ing together equal to another right angle , are equal to ABE and EBD , which compose the right angle ABD ...
... semicircle ; wherefore AEB is a right angle ( III . 19. ) , and the remaining acute an- gles BAE , ABE of the triangle , be- ing together equal to another right angle , are equal to ABE and EBD , which compose the right angle ABD ...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
ABCD adjacent angle altitude angle ABC angle ADB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter sequently side AC sinB sine square of AB square of AC straight line tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore