Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 10
... fourth of the fame thing . As if AB , and C = B : then fhall AC . 8. Things which agree together , or coincide , are equal the one to the other . The Converfe of this Axiom is true in right Lines and Angles , but not in Figures , unless ...
... fourth of the fame thing . As if AB , and C = B : then fhall AC . 8. Things which agree together , or coincide , are equal the one to the other . The Converfe of this Axiom is true in right Lines and Angles , but not in Figures , unless ...
Σελίδα 12
... fourth Propofition of the first Book : and fo of the reft . Moreover , ax . denotes Ax- iom , poft . Poftulate , def . Definition , fch . Scholium , and cor . Corollary . PROPOSITION I. Upon a given finite right Line ( AB ) to defcribe ...
... fourth Propofition of the first Book : and fo of the reft . Moreover , ax . denotes Ax- iom , poft . Poftulate , def . Definition , fch . Scholium , and cor . Corollary . PROPOSITION I. Upon a given finite right Line ( AB ) to defcribe ...
Σελίδα 107
... and Circle ; and for effect- ing the fame , there are feveral mechanical ways in Books of Practical Geometry . End of the Fourth Book . EU- EUCLID's ELEMENTS . 1 . BOOK V. DEFINITIONS . Part Book III . EUCLID'S Elements . 107.
... and Circle ; and for effect- ing the fame , there are feveral mechanical ways in Books of Practical Geometry . End of the Fourth Book . EU- EUCLID's ELEMENTS . 1 . BOOK V. DEFINITIONS . Part Book III . EUCLID'S Elements . 107.
Σελίδα 109
... fourth D , when the Equimu ! - tiples E , F of the firft A and third C compared with the Equimultiples G , H of the fecond B , and fourth D , according to any Multiplication foever , either both together ( E and F , ) are less than G ...
... fourth D , when the Equimu ! - tiples E , F of the firft A and third C compared with the Equimultiples G , H of the fecond B , and fourth D , according to any Multiplication foever , either both together ( E and F , ) are less than G ...
Σελίδα 110
... fourth D : then the firft A is faid to have a greater Ratio to the fecond B , than the third C to the fourth D. C D If be it is not necessary from this De- finition that E always exceeds G , when F is iefs than H ; but that it is ...
... fourth D : then the firft A is faid to have a greater Ratio to the fecond B , than the third C to the fourth D. C D If be it is not necessary from this De- finition that E always exceeds G , when F is iefs than H ; but that it is ...
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.