Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 11
... construction . A direct demonstration proceeds from the premises , by a regular deduction . An indirect demonstration attains its object , by showing that any other hypothesis than the one advanced would in- volve a contradiction , or ...
... construction . A direct demonstration proceeds from the premises , by a regular deduction . An indirect demonstration attains its object , by showing that any other hypothesis than the one advanced would in- volve a contradiction , or ...
Seite 17
... 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 . PROP . VI . PROB . To let fall ...
... 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 . PROP . VI . PROB . To let fall ...
Seite 18
... and interior angles CAB and CBA . For bisect the side BC in the point D ( I. 7. ) , draw AD , and produce it until DE be equal to AD , and join EC . G F The triangles ADB and EDC have , by construction , 18 ELEMENTS OF GEOMETRY .
... and interior angles CAB and CBA . For bisect the side BC in the point D ( I. 7. ) , draw AD , and produce it until DE be equal to AD , and join EC . G F The triangles ADB and EDC have , by construction , 18 ELEMENTS OF GEOMETRY .
Seite 19
... construction , the side DA equal to DE , the side DB to DC , and the vertical angle BDA equal to CDE ; these triangles are , therefore , equal ( I. 3. ) , and the angle DCE is equal to DBA . But the angle BCF is evidently greater than ...
... construction , the side DA equal to DE , the side DB to DC , and the vertical angle BDA equal to CDE ; these triangles are , therefore , equal ( I. 3. ) , and the angle DCE is equal to DBA . But the angle BCF is evidently greater than ...
Seite 33
... construction of the instrument called a Parallel Ruler . - PROP . XXVI . THEOR . The opposite sides and angles of a parallelo- gram are equal . Let the quadrilateral figure ABCD have the sides AB and BC parallel to CD and AD ; these are ...
... construction of the instrument called a Parallel Ruler . - PROP . XXVI . THEOR . The opposite sides and angles of a parallelo- gram are equal . Let the quadrilateral figure ABCD have the sides AB and BC parallel to CD and AD ; these are ...
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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