Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 26
... consequently ( I. 18. ) the side BC or BG is greater than BH , or the point G lies beyond H. Next , suppose the side BC or EF to be greater than AB or DE . Where- fore ( I. 12. ) the angle BAC is greater than BCA ; but ( I. 8. ) the ...
... consequently ( I. 18. ) the side BC or BG is greater than BH , or the point G lies beyond H. Next , suppose the side BC or EF to be greater than AB or DE . Where- fore ( I. 12. ) the angle BAC is greater than BCA ; but ( I. 8. ) the ...
Seite 31
... consequently the inte- rior angles GFD and FGB are likewise equal to two right angles . Cor . Since the position CD is individual , or that only one straight line can be drawn through the point F pa- rallel to AB , it follows that the ...
... consequently the inte- rior angles GFD and FGB are likewise equal to two right angles . Cor . Since the position CD is individual , or that only one straight line can be drawn through the point F pa- rallel to AB , it follows that the ...
Seite 34
... Consequently , the side AB is equal to CD , and the side BC to AD ; and these opposite sides being thus equal , the opposite angles ( I. 25. ) must be likewise equal . Cor . Hence the diagonal divides a rhomboid or paral- lelogram into ...
... Consequently , the side AB is equal to CD , and the side BC to AD ; and these opposite sides being thus equal , the opposite angles ( I. 25. ) must be likewise equal . Cor . Hence the diagonal divides a rhomboid or paral- lelogram into ...
Seite 35
... consequently AB is parallel to EF ( I. 22. cor . ) PROP . XXIX . THEOR . Straight lines drawn parallel to the sides of an angle , contain an equal angle . If the straight lines AB , AC be pa- rallel to DE , DF ; the angle BAC is equal ...
... consequently AB is parallel to EF ( I. 22. cor . ) PROP . XXIX . THEOR . Straight lines drawn parallel to the sides of an angle , contain an equal angle . If the straight lines AB , AC be pa- rallel to DE , DF ; the angle BAC is equal ...
Seite 37
... Consequently , from the whole amount , there is to be deducted the vertical angles about the point O , and which are ( Def . 4. ) equal to four right angles . Cor . Hence all the angles of a quadrilateral figure are equal to four right ...
... Consequently , from the whole amount , there is to be deducted the vertical angles about the point O , and which are ( Def . 4. ) equal to four right angles . Cor . Hence all the angles of a quadrilateral figure are equal to four right ...
Inhalt
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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