Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 18
... COROL . the way of dividing an Angle into thefe equal Parts , viz . 4 , 8 , 16 , & c . which is done by a new bifecting of each of the for- mer ones . The Method of cutting Angles into any Num- ber of equal Parts required by a Ruler and ...
... COROL . the way of dividing an Angle into thefe equal Parts , viz . 4 , 8 , 16 , & c . which is done by a new bifecting of each of the for- mer ones . The Method of cutting Angles into any Num- ber of equal Parts required by a Ruler and ...
Σελίδα 33
... COROL . The Sum of the outward Angles of any right- lined Figure is equal to the Sum of the outward Angles of any other right - lined Figure .. C A PRO P. XXXIII . D B D If two equal and pa- rallel Lines ( AB , CD ) be joined the fame ...
... COROL . The Sum of the outward Angles of any right- lined Figure is equal to the Sum of the outward Angles of any other right - lined Figure .. C A PRO P. XXXIII . D B D If two equal and pa- rallel Lines ( AB , CD ) be joined the fame ...
Σελίδα 63
... COROL с b b Hence if a right Line ( BD ) bifes any right Line AC at right Angles in a Circle , the Center fhall be in the Line BD that bifects the o- ther . The d 8. I. 10 def . 1 . 12 ax . 9 ax . b 5. I. € 16. I. 19. I. A E Book III ...
... COROL с b b Hence if a right Line ( BD ) bifes any right Line AC at right Angles in a Circle , the Center fhall be in the Line BD that bifects the o- ther . The d 8. I. 10 def . 1 . 12 ax . 9 ax . b 5. I. € 16. I. 19. I. A E Book III ...
Σελίδα 65
... COROL Hence if a Line drawn from the Vertical Angle in any Equilateral or Ifofceles Triangle bifects the Bafe ; that Line is perpendicular to it . And on the contrary , a Perpendicular drawn from the vertical Angle , bifects the Bafe ...
... COROL Hence if a Line drawn from the Vertical Angle in any Equilateral or Ifofceles Triangle bifects the Bafe ; that Line is perpendicular to it . And on the contrary , a Perpendicular drawn from the vertical Angle , bifects the Bafe ...
Σελίδα 73
... any acute Angle BAL of the Semicircle BAL . Q. E.D. COROL . Hence a right Line drawn at right Angles at the End of the Diameter of a Circle , touches the Circle . From a 15 def.1 . b 4. I. C From this Book III . EUCLID's Elements . 73.
... any acute Angle BAL of the Semicircle BAL . Q. E.D. COROL . Hence a right Line drawn at right Angles at the End of the Diameter of a Circle , touches the Circle . From a 15 def.1 . b 4. I. C From this Book III . EUCLID's Elements . 73.
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.