Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 21.
Σελίδα
... fome , and alter'd others of the Algebraick Demonftrations of the Second Book , which appeared to me too Intricate for a Learner not used to that Me- thod , and fubftituted more eafy ones in their room . I have also adapted other Demon ...
... fome , and alter'd others of the Algebraick Demonftrations of the Second Book , which appeared to me too Intricate for a Learner not used to that Me- thod , and fubftituted more eafy ones in their room . I have also adapted other Demon ...
Σελίδα 1
... fome Bignefs , and that various , according to the Figure it is in or near as upon Paper a Point is reprefented by a Prick with the Point of the Compaffes , a Dott with the Pen , & c . but on the Ground by a Peg , Stake , & c . And when ...
... fome Bignefs , and that various , according to the Figure it is in or near as upon Paper a Point is reprefented by a Prick with the Point of the Compaffes , a Dott with the Pen , & c . but on the Ground by a Peg , Stake , & c . And when ...
Σελίδα 2
... fome Breadth and Thickness in Practice , because the Point defcribing it is of fome Bignefs . 3. The Bounds of a Line are Points , as the Points A , B. 4. A Right Line is that which lies evenly be- tween its Points . 5. A Superficies is ...
... fome Breadth and Thickness in Practice , because the Point defcribing it is of fome Bignefs . 3. The Bounds of a Line are Points , as the Points A , B. 4. A Right Line is that which lies evenly be- tween its Points . 5. A Superficies is ...
Σελίδα 9
... fome following Propofition more eafily . • A Corollary is a Confequence deduced from a foregoing Propofition . A Scholium is a Critical Expofition upon some- thing faid before . Poftulates or Petitions . 1. Grant that a right Line may ...
... fome following Propofition more eafily . • A Corollary is a Confequence deduced from a foregoing Propofition . A Scholium is a Critical Expofition upon some- thing faid before . Poftulates or Petitions . 1. Grant that a right Line may ...
Σελίδα 62
... fome Point B is taken , in the Cir- cumference thereof , and from it right Lines ( AB , CB ) are drawn to the Extremes of the right Line AC , which is the Bafe of the Segment : then the Ang . ABC contained under the Lines fuppofed to be ...
... fome Point B is taken , in the Cir- cumference thereof , and from it right Lines ( AB , CB ) are drawn to the Extremes of the right Line AC , which is the Bafe of the Segment : then the Ang . ABC contained under the Lines fuppofed to be ...
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.