Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Página 5
... right Angle ; as ACD . 13. A Term or Bound is the Extremity or End of any thing . 14. A Figure is that which is contained under one or more Terms or Bounds . 15. A Circle is a plane Figure contained under one Line ... AC the Diameter , and ...
... right Angle ; as ACD . 13. A Term or Bound is the Extremity or End of any thing . 14. A Figure is that which is contained under one or more Terms or Bounds . 15. A Circle is a plane Figure contained under one Line ... AC the Diameter , and ...
Página 12
... right Line ( AB ) to defcribe an equilateral Triangle ( ABC ) . C A B a 3 post . b 1 poft . C15 def . d I ax . e 23 ... AC = AB BC AC . Wherefore the Tri- angle ACB is an equilateral one . Which was to be done . - SCHO- SCHOLIUM . After ...
... right Line ( AB ) to defcribe an equilateral Triangle ( ABC ) . C A B a 3 post . b 1 poft . C15 def . d I ax . e 23 ... AC = AB BC AC . Wherefore the Tri- angle ACB is an equilateral one . Which was to be done . - SCHO- SCHOLIUM . After ...
Página 13
... Line AB , if the Distances or Intervals of the equal Circles be taken greater or lefs than the Line AB . PROP . II . From a given Point A , to draw a right Line AG equal to a right Line given ( BC ) . H B D F C E a с b bi C I. I. d 2 ...
... Line AB , if the Distances or Intervals of the equal Circles be taken greater or lefs than the Line AB . PROP . II . From a given Point A , to draw a right Line AG equal to a right Line given ( BC ) . H B D F C E a с b bi C I. I. d 2 ...
Página 14
... right Line ( BE ) , equal to the leffer ( A. ) D E B C & 2. I. b15 def . c conft . di ax . = From the Point B draw ... AC ) equal to two Sides of the other ( ba , ac ) each to its correfpondent Side ( that is , BA = ba , and AC = ac ) ...
... right Line ( BE ) , equal to the leffer ( A. ) D E B C & 2. I. b15 def . c conft . di ax . = From the Point B draw ... AC ) equal to two Sides of the other ( ba , ac ) each to its correfpondent Side ( that is , BA = ba , and AC = ac ) ...
Página 15
... right Line ab placed upon the right Line AB , the Point b fhall fall upon B , because ab AB alfo the right Line ac fhall fall up- on AC , because the Angle Aa ; moreover , a hyp . the Point ofhall fall upon the Point C , because AC ac ...
... right Line ab placed upon the right Line AB , the Point b fhall fall upon B , because ab AB alfo the right Line ac fhall fall up- on AC , because the Angle Aa ; moreover , a hyp . the Point ofhall fall upon the Point C , because AC ac ...
Términos y frases comunes
9 ax ABCD abfurd alfo alſo Altitude Angle ABC Bafe BC Baſe becauſe bifect Center Circ Cone confequently conft COROL Cylinder defcribed demonftrated Diameter draw the right drawn EFGH equal Angles equiangular equilateral Equimultiples EUCLID's ELEMENTS faid fame Multiple fecond fhall fimilar fince firft folid fome fore four right ftanding given right Line gles Gnomon greater Hence infcribe leffer lefs likewife Line CD Magnitudes manifeft manner Number oppofite Paral parallel Parallelepip Parallelepipedons Parallelogram perpend perpendicular poffible Point Polyhedron Prifms Probl PROP Propofition Pyramids Ratio Rectangle right Angles right Line AB right Line AC right-lined Figure SCHOL SCHOLIU Segment ſhall Side BC Sphere Square thefe thofe thro tiple Triangle ABC Whence whofe whole
Pasajes populares
Página 31 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Página 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Página 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Página 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.
Página 11 - That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line.