Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Ergebnisse 11-15 von 27
Seite 168
... angle of a triangle , will divide its base into segments , internal or external , that are proportional to the adjacent sides of the triangle . Let the straight line BD bisect the vertical angle of the triangle ABC ; it will cut the ...
... angle of a triangle , will divide its base into segments , internal or external , that are proportional to the adjacent sides of the triangle . Let the straight line BD bisect the vertical angle of the triangle ABC ; it will cut the ...
Seite 169
... adjacent sides , it will bisect the vertical angle ; for it is evident , from VI . 6. cor . , that a straight line is only capable of a single section , whether internal or external , in a given propor- tion . Scholium . The vertical ...
... adjacent sides , it will bisect the vertical angle ; for it is evident , from VI . 6. cor . , that a straight line is only capable of a single section , whether internal or external , in a given propor- tion . Scholium . The vertical ...
Seite 175
... angle BCD common , and the right an- gle BDC equal to ABC . The tri- A D ... adjacent seg- ment , formed by a perpendicular let fall upon it from the ... angle contained by A and B ; C is the mean proportional required . A B CH For since ...
... angle BCD common , and the right an- gle BDC equal to ABC . The tri- A D ... adjacent seg- ment , formed by a perpendicular let fall upon it from the ... angle contained by A and B ; C is the mean proportional required . A B CH For since ...
Seite 179
... angle CBA or its adjacent angle CBF ; then BE2 = AB.BC- AE.EC , or AE . EC - AB.BC . For ( III . 9. cor . ) about the triangle describe a circle , produce BE to the circumference , and join CD . The angles BAE and BDC , standing upon ...
... angle CBA or its adjacent angle CBF ; then BE2 = AB.BC- AE.EC , or AE . EC - AB.BC . For ( III . 9. cor . ) about the triangle describe a circle , produce BE to the circumference , and join CD . The angles BAE and BDC , standing upon ...
Seite 251
... angle RAD or CAB ; and consequently R : sinA :: AC : CB . A S D B Cor . Hence the radius is to the cosine of an angle , as the hypotenuse to the adjacent side ; for R : sinC or cosA :: AC : AB . PROP . VIII . THEOR . In a right angled ...
... angle RAD or CAB ; and consequently R : sinA :: AC : CB . A S D B Cor . Hence the radius is to the cosine of an angle , as the hypotenuse to the adjacent side ; for R : sinC or cosA :: AC : AB . PROP . VIII . THEOR . In a right angled ...
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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