Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 16
... draw the straight line BF : The angle ABC is bisected by BF . For the two triangles DBF and EBF , having the side DB ... drawing a perpendicular from a given point B in the straight line AC ; for the angle ABC , which the opposite seg ...
... draw the straight line BF : The angle ABC is bisected by BF . For the two triangles DBF and EBF , having the side DB ... drawing a perpendicular from a given point B in the straight line AC ; for the angle ABC , which the opposite seg ...
Seite 18
... - posite and interior angles CAB and CBA . For bisect the side BC in the point D ( I. 7. ) , draw AD , and produce it until DE be equal to AD , and join EC . G F The triangles ADB and EDC have , by construction , 18 ELEMENTS OF GEOMETRY .
... - posite and interior angles CAB and CBA . For bisect the side BC in the point D ( I. 7. ) , draw AD , and produce it until DE be equal to AD , and join EC . G F The triangles ADB and EDC have , by construction , 18 ELEMENTS OF GEOMETRY .
Seite 20
... draw ( I. 5. ) BD bisecting the vertical angle ABC . Because , by hypothesis , AB is equal to BC , the side BD common to the two tri- angles BDA and BDC , and the angles ABD and CBD contained by them are equal ; these triangles are ...
... draw ( I. 5. ) BD bisecting the vertical angle ABC . Because , by hypothesis , AB is equal to BC , the side BD common to the two tri- angles BDA and BDC , and the angles ABD and CBD contained by them are equal ; these triangles are ...
Seite 31
... drawn through the point F pa- rallel to AB , it follows that the converse of the proposition is likewise true , and ... draw , through the point C , a straight line parallel to AB . In AB take any point D , join CD , and at the point C ...
... drawn through the point F pa- rallel to AB , it follows that the converse of the proposition is likewise true , and ... draw , through the point C , a straight line parallel to AB . In AB take any point D , join CD , and at the point C ...
Seite 33
... draw the diagonal AC . And because AB is equal to DC , BC to AD , and AC is com- mon ; the two triangles ABC and ADC are ( I. 2. ) equal . Conse- quently the angle ACD is equal D to CAB , and therefore the side AB ( I. 22. cor ...
... draw the diagonal AC . And because AB is equal to DC , BC to AD , and AC is com- mon ; the two triangles ABC and ADC are ( I. 2. ) equal . Conse- quently the angle ACD is equal D to CAB , and therefore the side AB ( I. 22. cor ...
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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