The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
Im Buch
Ergebnisse 1-5 von 75
Seite 5
... shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal ( 1 Ax . ) to one another ; therefore the straight line AL is equal to BC . Wherefore from the given ...
... shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal ( 1 Ax . ) to one another ; therefore the straight line AL is equal to BC . Wherefore from the given ...
Seite 13
... shown that it is not equal to AB ; therefore AC is greater than AB . Wherefore the greater angle , etc. PROPOSITION XX . B Q. E. D. THEOR . Any two sides of a triangle are together greater than the third side . Let ABC be a triangle ...
... shown that it is not equal to AB ; therefore AC is greater than AB . Wherefore the greater angle , etc. PROPOSITION XX . B Q. E. D. THEOR . Any two sides of a triangle are together greater than the third side . Let ABC be a triangle ...
Seite 14
... shown that BA , AC are greater than BE , EC , much more then are BA , AC greater than BD , DC . Again , because the exterior angle of a triangle ( 16. 1. ) is greater than the interior and opposite angle , the exterior angle BDC of the ...
... shown that BA , AC are greater than BE , EC , much more then are BA , AC greater than BD , DC . Again , because the exterior angle of a triangle ( 16. 1. ) is greater than the interior and opposite angle , the exterior angle BDC of the ...
Seite 16
... the angle EDF ; B E Neither is it less ; because then the base BC would be less ( 24. 1. ) than the base EF ; but it is not ; therefore the angle BAC is not less than the angle EDF ; and it was shown that 16 EUCLID'S ELEMENTS .
... the angle EDF ; B E Neither is it less ; because then the base BC would be less ( 24. 1. ) than the base EF ; but it is not ; therefore the angle BAC is not less than the angle EDF ; and it was shown that 16 EUCLID'S ELEMENTS .
Seite 17
Royal Military Academy, Woolwich. than the angle EDF ; and it was shown that it is not equal to it ; therefore the angle BAC is greater than the angle EDF . Wherefore , if two triangles , etc. Q. E. D. PROPOSITION XXVI . THEOR . If two ...
Royal Military Academy, Woolwich. than the angle EDF ; and it was shown that it is not equal to it ; therefore the angle BAC is greater than the angle EDF . Wherefore , if two triangles , etc. Q. E. D. PROPOSITION XXVI . THEOR . If two ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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