Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Resultat 1-5 av 18
Side 163
... Pyramid is a folid Figure contain❜d under Planes fet upon one Plane , and put together at one Point . XIII . A Prism is a folid Figure contained under Planes , whereof the two oppofite are equal , fimilar , and parallel , and the ...
... Pyramid is a folid Figure contain❜d under Planes fet upon one Plane , and put together at one Point . XIII . A Prism is a folid Figure contained under Planes , whereof the two oppofite are equal , fimilar , and parallel , and the ...
Side 174
... Pyramid , is at the Vertex of the Pyramid . 1 great- = ь greatest : from which take a BAE = 174 EUCLID's Elements .
... Pyramid , is at the Vertex of the Pyramid . 1 great- = ь greatest : from which take a BAE = 174 EUCLID's Elements .
Side 198
... Pyramid ABDC having a Triangular Bafe , is divided into two E G equal Pyramids AEGH , HIKC having triangular Bafes , being fimi- Ꭰ lar to the whole one ABDC ; and 29. I. € 26. 1 . . into two equal Prifms BFGEHI , FGDIHK ; which two ...
... Pyramid ABDC having a Triangular Bafe , is divided into two E G equal Pyramids AEGH , HIKC having triangular Bafes , being fimi- Ꭰ lar to the whole one ABDC ; and 29. I. € 26. 1 . . into two equal Prifms BFGEHI , FGDIHK ; which two ...
Side 199
... Pyramid BEFI , that is AEGH , the Whole than the Part ; and confequently the two Prifms are greater than the two Pyramids , and fo greater than the half of the whole Pyra- mid ABDC . Q. E. D. 23 d PROP . IV . C If there be two Pyramids ...
... Pyramid BEFI , that is AEGH , the Whole than the Part ; and confequently the two Prifms are greater than the two Pyramids , and fo greater than the half of the whole Pyra- mid ABDC . Q. E. D. 23 d PROP . IV . C If there be two Pyramids ...
Side 200
... Pyramid ABCD to all the Prisms of EFGH , fhall be as the Base ABC to the Base EFG . 2. E. D. PROP . V. Pyramids ABCD , EFGH of the fame Altitude having Triangular Bafes ABC , EFG , are to one another as thofe Bafes ABC , EFG . Y E X I R ...
... Pyramid ABCD to all the Prisms of EFGH , fhall be as the Base ABC to the Base EFG . 2. E. D. PROP . V. Pyramids ABCD , EFGH of the fame Altitude having Triangular Bafes ABC , EFG , are to one another as thofe Bafes ABC , EFG . Y E X I R ...
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.