Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Resultat 1-5 av 41
Side 5
... Diameter . In the Circle EABCD , the Point E is the Center , the Line AC the Diameter , and ABC is a Semi - circle . · 19. Right - lined Figures are fuch as are con- tained under right Lines . 20. Trilateral or three - fided Figures are ...
... Diameter . In the Circle EABCD , the Point E is the Center , the Line AC the Diameter , and ABC is a Semi - circle . · 19. Right - lined Figures are fuch as are con- tained under right Lines . 20. Trilateral or three - fided Figures are ...
Side 8
... Diameter does not pafs , are called Comple- ments ; and the other two , HE , FI , which the Diameter paffeth thro ' , are called Paral- lelograms ftanding about the Diameter . A Definition is what determines the Idea of a Word , or ...
... Diameter does not pafs , are called Comple- ments ; and the other two , HE , FI , which the Diameter paffeth thro ' , are called Paral- lelograms ftanding about the Diameter . A Definition is what determines the Idea of a Word , or ...
Side 34
... Diameter BC bifects the fame . d с d e Because AB , CD are parallel , therefore the the Ang . ABC = BCD . Also because AC , ED are parallel , the Angle ACB fhall be " = CBD ; therefore the whole Ang . ACDf = ABD . After the fame manner ...
... Diameter BC bifects the fame . d с d e Because AB , CD are parallel , therefore the the Ang . ABC = BCD . Also because AC , ED are parallel , the Angle ACB fhall be " = CBD ; therefore the whole Ang . ACDf = ABD . After the fame manner ...
Side 39
... gram ABCD , the Cm- plements ( DG , GB ) of the Parallelograms . ( HE , FI ) which stand about the Diameter , are equal the one to the other . D 4 g h 41. I. a 34. I. 3 ax . a = For the Book I. 39 EUCLID'S Elements .
... gram ABCD , the Cm- plements ( DG , GB ) of the Parallelograms . ( HE , FI ) which stand about the Diameter , are equal the one to the other . D 4 g h 41. I. a 34. I. 3 ax . a = For the Book I. 39 EUCLID'S Elements .
Side 45
... Diameters EB , HD ; then d it is manifeft that AF 2 Triang . EABd 34. 1 . 2 Triang . HCD = CG . QE . D. e e 4. I. & Hyp . 2. If poffible , let LM- IK ; make LT 6 ax . = IK , and let LS LT ' . Then LS ( by 46. 1 . Part . £ a byp • , b 9 ...
... Diameters EB , HD ; then d it is manifeft that AF 2 Triang . EABd 34. 1 . 2 Triang . HCD = CG . QE . D. e e 4. I. & Hyp . 2. If poffible , let LM- IK ; make LT 6 ax . = IK , and let LS LT ' . Then LS ( by 46. 1 . Part . £ a byp • , b 9 ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.