The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Seite 7
... Hence every equilateral triangle is also equiangular . PROPOSITION VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another ...
... Hence every equilateral triangle is also equiangular . PROPOSITION VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another ...
Seite 143
... hence the lines CD , C'D ' in them , and parallel to AB , can never meet : but they are in one plane MN ; and hence they are parallel . PROPOSITION III . If a line without a plane be parallel to a line in the plane , the first line will ...
... hence the lines CD , C'D ' in them , and parallel to AB , can never meet : but they are in one plane MN ; and hence they are parallel . PROPOSITION III . If a line without a plane be parallel to a line in the plane , the first line will ...
Seite 145
... hence the planes MN , PQ cannot meet , that is , they are parallel . ( 2. ) The angle ABC is equal to the angle DEF . Take AB , BC equal respectively to DE , EF , and join AC , DF , AD , BE , CF. Then since AB is equal and parallel to ...
... hence the planes MN , PQ cannot meet , that is , they are parallel . ( 2. ) The angle ABC is equal to the angle DEF . Take AB , BC equal respectively to DE , EF , and join AC , DF , AD , BE , CF. Then since AB is equal and parallel to ...
Seite 147
... hence the line CD and plane MN are parallel ( Prop . 111. ) . ( 2. ) Let the plane RS be parallel to one of the parallel planes MN , PQ , as MN : it will be parallel to the other , PQ . In the extreme planes , MN , RS take points K , G ...
... hence the line CD and plane MN are parallel ( Prop . 111. ) . ( 2. ) Let the plane RS be parallel to one of the parallel planes MN , PQ , as MN : it will be parallel to the other , PQ . In the extreme planes , MN , RS take points K , G ...
Seite 148
... hence the oppo- site side : CD , EF are equal . Similarly all the others , GH , etc. are equal to CD . PROPOSITION ... hence they are in the same plane CF ; and the points C and D in them are H also in that plane . But C , D being in the ...
... hence the oppo- site side : CD , EF are equal . Similarly all the others , GH , etc. are equal to CD . PROPOSITION ... hence they are in the same plane CF ; and the points C and D in them are H also in that plane . But C , D being in the ...
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ABC is equal ABCD adjacent angles angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone construction coordinate planes described Descriptive Geometry diameter dicular dihedral angles draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence horizontal hyperbola inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular perpendicular to MN plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical angle tangent THEOR trace triangle ABC trihedral vertex Whence Wherefore