Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
Im Buch
Ergebnisse 1-5 von 72
Seite 12
... base , and G , H two sides of the triangle which it is required to construct ... AC is equal to G ; and , for the same reason , BC is equal to H. G H B ... base AB , they return again and meet below it ; thus marking two positions for the ...
... base , and G , H two sides of the triangle which it is required to construct ... AC is equal to G ; and , for the same reason , BC is equal to H. G H B ... base AB , they return again and meet below it ; thus marking two positions for the ...
Seite 15
... base AC being repeatedly inserted be- tween those circumferences ; a multi- tude of triangles will be thus formed , all of them equal to the original triangle B C ABC . Consequently the angle ABD is double of ABC , ABE triple , ABF ...
... base AC being repeatedly inserted be- tween those circumferences ; a multi- tude of triangles will be thus formed , all of them equal to the original triangle B C ABC . Consequently the angle ABD is double of ABC , ABE triple , ABF ...
Seite 17
... AC . Schol . In the general construction , the isosceles triangle DFE may stand either below or above the base DE ; but if it were made equal to DBE , the vertex F would coin- cide with B , and render the construction indeterminate ...
... AC . Schol . In the general construction , the isosceles triangle DFE may stand either below or above the base DE ; but if it were made equal to DBE , the vertex F would coin- cide with B , and render the construction indeterminate ...
Seite 18
... AC equal to BC , CE common , and the contained angle ACE equal to BCE , are ( I. 3. ) equal , and consequently the base AE is equal to BE . PROP . VIII . THEOR . The exterior angle of a triangle is greater than either of its interior ...
... AC equal to BC , CE common , and the contained angle ACE equal to BCE , are ( I. 3. ) equal , and consequently the base AE is equal to BE . PROP . VIII . THEOR . The exterior angle of a triangle is greater than either of its interior ...
Seite 19
... AC . And , by the last proposition , the ex- terior angle BCD is greater than BAC , add BCA to each , and the two ... base BOOK I. 19.
... AC . And , by the last proposition , the ex- terior angle BCD is greater than BAC , add BCA to each , and the two ... base BOOK I. 19.
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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