Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Ergebnisse 6-10 von 26
Seite 87
... ABCD be a quadrilateral figure described in a cir- cle ; the angles A and C are together equal to two right angles , and so are those at B and D. B C For join EB and ED . The angle BED at the centre is double of the angle BCD at the ...
... ABCD be a quadrilateral figure described in a cir- cle ; the angles A and C are together equal to two right angles , and so are those at B and D. B C For join EB and ED . The angle BED at the centre is double of the angle BCD at the ...
Seite 99
... ABCD be a quadrilateral figure , of which AC and BD are the diagonals , and such that the rectangle AE , EC is equivalent to the rectangle BE , ED ; a circle may be made to pass through the four points A , B , C , and D. For describe a ...
... ABCD be a quadrilateral figure , of which AC and BD are the diagonals , and such that the rectangle AE , EC is equivalent to the rectangle BE , ED ; a circle may be made to pass through the four points A , B , C , and D. For describe a ...
Seite 114
... ABCD be a square , about which it is required to circumscribe a circle . Draw the diagonals AC , DB intersecting each other in O , and , from that point with the distance AO , describe the circle ABCD : This circle will circumscribe the ...
... ABCD be a square , about which it is required to circumscribe a circle . Draw the diagonals AC , DB intersecting each other in O , and , from that point with the distance AO , describe the circle ABCD : This circle will circumscribe the ...
Seite 115
... ABCD are equal and bisect each other , the straight lines OA , OB , OC , and OD are 1 all equal , and consequently the circle described through A passes through the other points B , C , and D. Again , let it be required to inscribe a ...
... ABCD are equal and bisect each other , the straight lines OA , OB , OC , and OD are 1 all equal , and consequently the circle described through A passes through the other points B , C , and D. Again , let it be required to inscribe a ...
Seite 138
... A B C D ; then alternately A : C :: B : D. For the extreme terms being still retained , the mean terms are merely transposed with respect to each other ; the same equality of products , therefore , also here subsists . PROP . IX . THEOR ...
... A B C D ; then alternately A : C :: B : D. For the extreme terms being still retained , the mean terms are merely transposed with respect to each other ; the same equality of products , therefore , also here subsists . PROP . IX . THEOR ...
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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