Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 80.
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 4
... Angle are right ones , that Angle is called a Right - lined Angle . 10. When a right G Line CG , ftanding upon a right Line AB , makes the Angles CGA , CGB , on each fide equal to one another , each of thofe equal Angles is call'd a Right ...
... Angle are right ones , that Angle is called a Right - lined Angle . 10. When a right G Line CG , ftanding upon a right Line AB , makes the Angles CGA , CGB , on each fide equal to one another , each of thofe equal Angles is call'd a Right ...
Σελίδα 7
... Angles right ; as A B CD . 30. An Oblong , or Long - fquare , is a Fi- gure that has four right Angles , but not equal Sides ; as ABCD . 31. A Rhombus , is a Figure which hath four equal Sides , but is not right - angled as A. L M 32. A ...
... Angles right ; as A B CD . 30. An Oblong , or Long - fquare , is a Fi- gure that has four right Angles , but not equal Sides ; as ABCD . 31. A Rhombus , is a Figure which hath four equal Sides , but is not right - angled as A. L M 32. A ...
Σελίδα 10
... right Lines and Angles , but not in Figures , unless they be fimilar . Moreover , Magnitudes are faid to agree , or coincide , when the parts of the one being ap- ply'd to the parts of the other , they fill up an equal , or the fame ...
... right Lines and Angles , but not in Figures , unless they be fimilar . Moreover , Magnitudes are faid to agree , or coincide , when the parts of the one being ap- ply'd to the parts of the other , they fill up an equal , or the fame ...
Σελίδα 11
... right Angles are equal to one an- other . 13. If a right Line BA , falling on two right Lines AD , CB , makes the internal Angles on B I A D the fame Side B AD + ABC lefs than two right Angles : thofe two right Lines produced , fhall ...
... right Angles are equal to one an- other . 13. If a right Line BA , falling on two right Lines AD , CB , makes the internal Angles on B I A D the fame Side B AD + ABC lefs than two right Angles : thofe two right Lines produced , fhall ...
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.