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 87
Seite 116
... consequently a square . Cor . Hence the circumscribing square is double of the inscribed square , and this again is double of the square de- scribed on the radius of the circle . PROP . XVI . PROB . In and about a 116 ELEMENTS OF GEOMETRY .
... consequently a square . Cor . Hence the circumscribing square is double of the inscribed square , and this again is double of the square de- scribed on the radius of the circle . PROP . XVI . PROB . In and about a 116 ELEMENTS OF GEOMETRY .
Seite 118
... radius OA , on which construct the equilate- ral triangle ABO ( I. 1. cor . ) , and repeat the equal trian- gles about the vertex O : These triangles will compose a hexagon . For the triangle ABO , being equilateral , each of its an ...
... radius OA , on which construct the equilate- ral triangle ABO ( I. 1. cor . ) , and repeat the equal trian- gles about the vertex O : These triangles will compose a hexagon . For the triangle ABO , being equilateral , each of its an ...
Seite 119
... radius . Cor . 3. The perimeter of the inscribed hexagon is equal to six times the radius , or three times the diameter , of the circle . Hence the circumference of a circle being , from its perpetual curvature , greater than any ...
... radius . Cor . 3. The perimeter of the inscribed hexagon is equal to six times the radius , or three times the diameter , of the circle . Hence the circumference of a circle being , from its perpetual curvature , greater than any ...
Seite 120
... radius AO , or the side of an inscribed hexagon . For join AD , and draw OB , OC , and OD . Since the arc DEF is double of AB , the angle AOB at the centre is ( III . 15. ) evidently equal to OAD or OAG at the circum- ference ; and ...
... radius AO , or the side of an inscribed hexagon . For join AD , and draw OB , OC , and OD . Since the arc DEF is double of AB , the angle AOB at the centre is ( III . 15. ) evidently equal to OAD or OAG at the circum- ference ; and ...
Seite 167
... the centre of the circle , the square of the radius is equivalent to the rectangle under the distances of the chord and of the intersection of the tangents from the centre . 1 PROP . X. THEOR . A straight line which bisects BOOK VI . 167.
... the centre of the circle , the square of the radius is equivalent to the rectangle under the distances of the chord and of the intersection of the tangents from the centre . 1 PROP . X. THEOR . A straight line which bisects BOOK VI . 167.
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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