Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 163
... Prism is a folid Figure contained under Planes , whereof the two oppofite are equal , fimilar , and parallel , and the others Parallelograms . XIV . A Sphere is a folid Figure , made when the Diameter of a Semicircle , remaining at reft ...
... Prism is a folid Figure contained under Planes , whereof the two oppofite are equal , fimilar , and parallel , and the others Parallelograms . XIV . A Sphere is a folid Figure , made when the Diameter of a Semicircle , remaining at reft ...
Σελίδα 181
... Prism FGCDAH are alfo equal and fimi- lar to all the Planes of the Prifm FGCDEB ; def . 9.11 . and therefore this Prifm is equal to that . Q. E. D. а a PROP . XXIX . Solid Parallelepipedons AGHEFBCD , AGHE MLKI , ftanding upon the fame ...
... Prism FGCDAH are alfo equal and fimi- lar to all the Planes of the Prifm FGCDEB ; def . 9.11 . and therefore this Prifm is equal to that . Q. E. D. а a PROP . XXIX . Solid Parallelepipedons AGHEFBCD , AGHE MLKI , ftanding upon the fame ...
Σελίδα 191
... h Hence all Diameters of a Parallelepipedon do mutually bifect one another , in one Point , as V. PROP . 9. 11 . & 1. ax . i 33. I. k 7. 11 . m 26. I. PROP . XL . If there be two Prisms ABCEFD Book XI . 191 EUCLID's Elements .
... h Hence all Diameters of a Parallelepipedon do mutually bifect one another , in one Point , as V. PROP . 9. 11 . & 1. ax . i 33. I. k 7. 11 . m 26. I. PROP . XL . If there be two Prisms ABCEFD Book XI . 191 EUCLID's Elements .
Σελίδα 192
... Prisms ABCEFD , GHMLIK are equal . E 0 D K N a 2 31. 11 . b 34. I. E7ax . с byp . d 28. 11 . с 7 ax . I. F B P A M C G H a equal on account h and Altitudes ; For if the Parallelepipedons AN , GQ be compleated , thefe fhall be of the ...
... Prisms ABCEFD , GHMLIK are equal . E 0 D K N a 2 31. 11 . b 34. I. E7ax . с byp . d 28. 11 . с 7 ax . I. F B P A M C G H a equal on account h and Altitudes ; For if the Parallelepipedons AN , GQ be compleated , thefe fhall be of the ...
Σελίδα 199
... Prisms , IBKLM , KLCNMO ; and PFQRST , QRGTSV . And if in like manner , each of the two Pyramids made by the for- mer Divifion , be divided , and this be done continu- ally ; then as the Bafe of one Pyramid is to the Bafe O 4 of b22.6 ...
... Prisms , IBKLM , KLCNMO ; and PFQRST , QRGTSV . And if in like manner , each of the two Pyramids made by the for- mer Divifion , be divided , and this be done continu- ally ; then as the Bafe of one Pyramid is to the Bafe O 4 of b22.6 ...
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.