Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Página 164
... Cylinder is that fixed Right Line about which the Parallelogram is turned . XXIII . And the Bafes of a Cylinder are the Circles that be defcribed by the Motion of the two oppofite . Sides of the Parallelogram . XXIV . Similar Cones and ...
... Cylinder is that fixed Right Line about which the Parallelogram is turned . XXIII . And the Bafes of a Cylinder are the Circles that be defcribed by the Motion of the two oppofite . Sides of the Parallelogram . XXIV . Similar Cones and ...
Página 206
... Cylinder , having the fame Bafe ABCD and Altitude . If you deny it , first D let the Cylinder exceed the triple of the Cone by the Magnitude E. Now a Prism standing upon the Square ABCD infcrib'd within the Circle , is the one half of ...
... Cylinder , having the fame Bafe ABCD and Altitude . If you deny it , first D let the Cylinder exceed the triple of the Cone by the Magnitude E. Now a Prism standing upon the Square ABCD infcrib'd within the Circle , is the one half of ...
Página 207
Euclid. Cylinder 1 PROP . XII . lind . ilar Cones and Cylinders ABCDK , PFGHM on the Baf the triplicate Proportion of the Diameters Cylind.H , of their Bafes ABCD , EFGH . the Pyran faid Prifm ving the i of the fan . for its Bafe T K F M ...
Euclid. Cylinder 1 PROP . XII . lind . ilar Cones and Cylinders ABCDK , PFGHM on the Baf the triplicate Proportion of the Diameters Cylind.H , of their Bafes ABCD , EFGH . the Pyran faid Prifm ving the i of the fan . for its Bafe T K F M ...
Página 208
... Cylinder c Therefore , a Prifm ftandi O L. ABCD does exceed the solidity of any Cones and In like manner , the Prifty of a right Cylinder Bafe AFB , being of these . Circular Bafe into & fchol . 27. Cylinder , is greater th likewife of ...
... Cylinder c Therefore , a Prifm ftandi O L. ABCD does exceed the solidity of any Cones and In like manner , the Prifty of a right Cylinder Bafe AFB , being of these . Circular Bafe into & fchol . 27. Cylinder , is greater th likewife of ...
Página 209
Euclid. PROP . XII . Similar Cones and Cylinders ABCDK , PFGHM are in the triplicate Proportion of the Diameters TX , FH , of their Bafes ABCD , EFGH . T B A K F P M Y G R M X H N b fay et N Then 24 def . 18 def . II . Let the Cone . A ...
Euclid. PROP . XII . Similar Cones and Cylinders ABCDK , PFGHM are in the triplicate Proportion of the Diameters TX , FH , of their Bafes ABCD , EFGH . T B A K F P M Y G R M X H N b fay et N Then 24 def . 18 def . II . Let the Cone . A ...
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.