Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 8.
Σελίδα 163
... Sphere is the fame with that of the Semicircle . XVII . The Diameter of a Sphere , is a Right Line drawn thro ' the Center , and terminated on ei- ther Side by the Superficies of the Sphere . " XVIII . A Cone is a Figure defcribed when ...
... Sphere is the fame with that of the Semicircle . XVII . The Diameter of a Sphere , is a Right Line drawn thro ' the Center , and terminated on ei- ther Side by the Superficies of the Sphere . " XVIII . A Cone is a Figure defcribed when ...
Σελίδα 213
... Sphere FGH . 3 . Cut the Spheres by a Plane paffing thro ' the Centre A , and the Sections will be concentrick Circles BCDE , FGH . For fince a Sphere is madef by turning a Semicircle about the Dia- def . 14 , meter at reft ; in ...
... Sphere FGH . 3 . Cut the Spheres by a Plane paffing thro ' the Centre A , and the Sections will be concentrick Circles BCDE , FGH . For fince a Sphere is madef by turning a Semicircle about the Dia- def . 14 , meter at reft ; in ...
Σελίδα 214
... Sphere , which will be per- pendicular to the Plane of the Circle BCDE . Again , the Quadrants BE , BX , KX of the equal Semicircles BED , BXD , KXD , are equal ; and fo if the Sides of a Polygon BO , OP , PR , RX , KS , ST , TY , YX ...
... Sphere , which will be per- pendicular to the Plane of the Circle BCDE . Again , the Quadrants BE , BX , KX of the equal Semicircles BED , BXD , KXD , are equal ; and fo if the Sides of a Polygon BO , OP , PR , RX , KS , ST , TY , YX ...
Σελίδα 215
... Sphere , compofed of Pyramids , and Triangles , which does not touch the Superficies of the leffer Sphere . g 8 From the Centre A drawh AZ perpend . to " 11. 1L the Plane KBOS , and join BZ , ZK . Now fince AZ is perpend . to BZ , ZK ...
... Sphere , compofed of Pyramids , and Triangles , which does not touch the Superficies of the leffer Sphere . g 8 From the Centre A drawh AZ perpend . to " 11. 1L the Plane KBOS , and join BZ , ZK . Now fince AZ is perpend . to BZ , ZK ...
Σελίδα 216
... Sphere BCDE , to the folid Polyhedron defcribed in that other Sphere , fhall have a triplicate Proportion of that which the Diameter of the Sphere BCDE hath to the Diameter of that other Sphere . For the Solids being divided into ...
... Sphere BCDE , to the folid Polyhedron defcribed in that other Sphere , fhall have a triplicate Proportion of that which the Diameter of the Sphere BCDE hath to the Diameter of that other Sphere . For the Solids being divided into ...
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.