Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Ergebnisse 1-5 von 29
Seite 51
... 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 . Wherefore the rectangle contained by the altitude of the trapezoid and half the sum of its pa- rallel sides , is ...
... 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 . Wherefore the rectangle contained by the altitude of the trapezoid and half the sum of its pa- rallel sides , is ...
Seite 56
... rectangle contained by two straight lines , is equivalent to the rectangles contained under one of them and the ... twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC , is ...
... rectangle contained by two straight lines , is equivalent to the rectangles contained under one of them and the ... twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC , is ...
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 ...
Seite 58
... rectangle under AB and BC is equal to the rectangle IL , which is also equal to DG . From the compound surface CAFGBKL , or the squares of AB and BC , take away the space DFGBKLC , or the rectangles IL and DG , that is , A B L K twice the ...
... rectangle under AB and BC is equal to the rectangle IL , which is also equal to DG . From the compound surface CAFGBKL , or the squares of AB and BC , take away the space DFGBKLC , or the rectangles IL and DG , that is , A B L K twice the ...
Seite 61
... twice the square of AD . But since ABF is a right an- gle , the square of AF ... twice the squares of AD and DB . Wherefore the squares of AB , BC are toge ... rectangle contained by the whole line and the other . Produce AB till BC be ...
... twice the square of AD . But since ABF is a right an- gle , the square of AF ... twice the squares of AD and DB . Wherefore the squares of AB , BC are toge ... rectangle contained by the whole line and the other . Produce AB till BC be ...
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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