Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 37
... equal to twice as many right angles ( a- bating four from the amount ) as the figure has sides . For assume a point O within the figure , and draw straight lines OA , OB , OC , OD , and OE , to the several It is obvious , that the ...
... equal to twice as many right angles ( a- bating four from the amount ) as the figure has sides . For assume a point O within the figure , and draw straight lines OA , OB , OC , OD , and OE , to the several It is obvious , that the ...
Seite 38
... equal to four right angles . H For each exterior angle DEF , with its adjacent interior one AED , is equal to two right angles . All the exterior an- gles , therefore , added to the interior angles , are equal to twice as many right ...
... equal to four right angles . H For each exterior angle DEF , with its adjacent interior one AED , is equal to two right angles . All the exterior an- gles , therefore , added to the interior angles , are equal to twice as many right ...
Seite 51
... equivalent to the difference between given figures . The smaller rhomboid is here placed below the summit of the ... twice AE with ED , or to twice AE and twice EF , that is , to twice AF ; con- sequently AF is half the sum of BC and AD ...
... equivalent to the difference between given figures . The smaller rhomboid is here placed below the summit of the ... twice AE with ED , or to twice AE and twice EF , that is , to twice AF ; con- sequently AF is half the sum of BC and AD ...
Seite 56
... equivalent to the squares of those lines , together with twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC , is equivalent to the two squares of AB , BC , and twice the ...
... equivalent to the squares of those lines , together with twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC , is equivalent to the two squares of AB , BC , and twice the ...
Seite 57
... twice the rectangle contained by these lines . . PROP . XVI . THEOR . The square described on the difference of two straight lines , is equivalent to the squares of those lines , diminished by twice their rectangle . Let AC be the ...
... twice the rectangle contained by these lines . . PROP . XVI . THEOR . The square described on the difference of two straight lines , is equivalent to the squares of those lines , diminished by twice their rectangle . Let AC be 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