Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Seite 162
... folid Figures are fuch that are con tained under equal Numbers of fimilar Planes . X. Equal and fimilar folid Figures , are thofe that 162 EUCLID'S Elements :
... folid Figures are fuch that are con tained under equal Numbers of fimilar Planes . X. Equal and fimilar folid Figures , are thofe that 162 EUCLID'S Elements :
Seite 163
... folid Angle , is the Inclination of more than two Right Lines that touch one another , and are not in the fame Superficies Or , a folid Angle is that which is contained under more than two plane Angles which are not in the fame ...
... folid Angle , is the Inclination of more than two Right Lines that touch one another , and are not in the fame Superficies Or , a folid Angle is that which is contained under more than two plane Angles which are not in the fame ...
Seite 164
... folid Figure contained under fix equal Squares . XXVI . A Parallelepipedon is a Figure contain- ed under fix quadrilateral Figures , whereof those which are oppofite are parallel . XXVII . A Polyhedron is a Solid of many Sides or Faces ...
... folid Figure contained under fix equal Squares . XXVI . A Parallelepipedon is a Figure contain- ed under fix quadrilateral Figures , whereof those which are oppofite are parallel . XXVII . A Polyhedron is a Solid of many Sides or Faces ...
Seite 174
... folid An- AB CD B E be contain❜d un- der three plané Angles BAD , DAC , BAC , any two of them , Chowsoever ta- ken , are greater than the third : the Affertion is If the three Angles be equal , manifeft ; if they be unequal , let BAC ...
... folid An- AB CD B E be contain❜d un- der three plané Angles BAD , DAC , BAC , any two of them , Chowsoever ta- ken , are greater than the third : the Affertion is If the three Angles be equal , manifeft ; if they be unequal , let BAC ...
Seite 175
... folid An- gle A , is contain'd under plane An- gles together lefs A than four right Angles . For let the h Sides of the fo- lid Angle A a- ny how cutting a Plane make the Triangular Figure BCD . and the Triangles ABC , ACD , ADB . Now ...
... folid An- gle A , is contain'd under plane An- gles together lefs A than four right Angles . For let the h Sides of the fo- lid Angle A a- ny how cutting a Plane make the Triangular Figure BCD . and the Triangles ABC , ACD , ADB . Now ...
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.