Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Σελίδα
... Planes and Solids of the Eleventh and Twelfth Books , that a Learner's Imagina- tion will be almost as much affifted as if he had real Material Planes and Solids to view Not Not long after the firft Publication of thefe Elements in To ...
... Planes and Solids of the Eleventh and Twelfth Books , that a Learner's Imagina- tion will be almost as much affifted as if he had real Material Planes and Solids to view Not Not long after the firft Publication of thefe Elements in To ...
Σελίδα 2
... Plane Superficies is that which lies evenly between its Lines . SCHOLIU M. A plane Superficies is that to which a right Line may be apply'd all manner of ways , or which is made by the Motion of a ftreight Line . 8. A Plane Angle is the ...
... Plane Superficies is that which lies evenly between its Lines . SCHOLIU M. A plane Superficies is that to which a right Line may be apply'd all manner of ways , or which is made by the Motion of a ftreight Line . 8. A Plane Angle is the ...
Σελίδα 3
Euclid. 8. A Plane Angle is the Inclination of two right A B Lines to one another , that are in the fame Plane , and touch one another ; yet not fo that both of them be in the Same Direction : as ' A BC . C SCHOLIUM An Angle is faid to ...
Euclid. 8. A Plane Angle is the Inclination of two right A B Lines to one another , that are in the fame Plane , and touch one another ; yet not fo that both of them be in the Same Direction : as ' A BC . C SCHOLIUM An Angle is faid to ...
Σελίδα 5
... plane Figure contained under one Line , which is called the Circumference ; to which all Lines that fall from a certain Point within the Figure , are equal to one another . 16. And that Point is called the Center of the Circle ...
... plane Figure contained under one Line , which is called the Circumference ; to which all Lines that fall from a certain Point within the Figure , are equal to one another . 16. And that Point is called the Center of the Circle ...
Σελίδα 161
... Plane CD , when it makes Right Angles , ABG , ABE , ABF , with all the Lines BG , BE , BF , that touch it , and are drawn in that Plane , IV . A FH EGK B B C IV . A Plane ( 161 ) EUCLID's ...
... Plane CD , when it makes Right Angles , ABG , ABE , ABF , with all the Lines BG , BE , BF , that touch it , and are drawn in that Plane , IV . A FH EGK B B C IV . A Plane ( 161 ) EUCLID's ...
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.