Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 30
... angle equal to the interior opposite one , and the two interior angles on the same side to- gether equal to two ... vertical angle GFK in the triangle FKG , and to which the angle FGA is exterior ; conse- quently ( I. 8. ) FGA is greater ...
... angle equal to the interior opposite one , and the two interior angles on the same side to- gether equal to two ... vertical angle GFK in the triangle FKG , and to which the angle FGA is exterior ; conse- quently ( I. 8. ) FGA is greater ...
Seite 31
... vertical angle GFD ; the alternate angles FGA and GFD are equal . Again , because GFD and FGA are equal , add the angle FGB to each , and the two angles GFD and FGB are equal to FGA and FGB ; but the angles FGA and FGB , on the same ...
... vertical angle GFD ; the alternate angles FGA and GFD are equal . Again , because GFD and FGA are equal , add the angle FGB to each , and the two angles GFD and FGB are equal to FGA and FGB ; but the angles FGA and FGB , on the same ...
Seite 37
... angle will also be double of the corresponding angle in the other . Schol ... angles of any rectilineal figure are together equal to twice as many right ... vertical angles about the point O , and which are ( Def . 4. ) equal to four ...
... angle will also be double of the corresponding angle in the other . Schol ... angles of any rectilineal figure are together equal to twice as many right ... vertical angles about the point O , and which are ( Def . 4. ) equal to four ...
Seite 40
... angles DBF and DBC are the halves of the vertical and base angles of BDC , and therefore ( I. 30. ) the whole angle CBF is the half of two right angles , or it is equal to one right angle . Schol . This problem , of which the ...
... angles DBF and DBC are the halves of the vertical and base angles of BDC , and therefore ( I. 30. ) the whole angle CBF is the half of two right angles , or it is equal to one right angle . Schol . This problem , of which the ...
Seite 68
... angle , is less than the squares of the containing sides AC , BC , by twice the rect- angle under the base AC and ... vertical angle be obtuse or acute . For the square of AB is equivalent to the squares of AC and BC , or twice the ...
... angle , is less than the squares of the containing sides AC , BC , by twice the rect- angle under the base AC and ... vertical angle be obtuse or acute . For the square of AB is equivalent to the squares of AC and BC , or twice the ...
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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