Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Resultat 1-5 av 35
Side
... ABCD , implies , that B is fubftracted from A , or CD from AB ; that is , AB or ABCD is the Difference of A and B , or of AB and CD . T x Is the Sign of Multiplication , as Ax B , or AB x BC , or ABX BC x CD fignifies , that A is ...
... ABCD , implies , that B is fubftracted from A , or CD from AB ; that is , AB or ABCD is the Difference of A and B , or of AB and CD . T x Is the Sign of Multiplication , as Ax B , or AB x BC , or ABX BC x CD fignifies , that A is ...
Side 7
... ABCD . 31. A Rhombus , is a Figure which hath four equal Sides , but is not right - angled as A. L M 32. A Rhom- .. boides , is a Fi- gure whofe op- pofite Sides and oppofite Angles H are only equal ; all the Sides being not equal ...
... ABCD . 31. A Rhombus , is a Figure which hath four equal Sides , but is not right - angled as A. L M 32. A Rhom- .. boides , is a Fi- gure whofe op- pofite Sides and oppofite Angles H are only equal ; all the Sides being not equal ...
Side 34
... ABCD , and the Side CB common ; therefore AC BD , and the Ang . ACB DBC : Whence alfo AC , BD are parallel . C b - PROP . A B XXXIV . - The oppofite Sides AB , CD , and AC , BD , of a Parallelo- C gram , as ABDC , are equal each to the ...
... ABCD , and the Side CB common ; therefore AC BD , and the Ang . ACB DBC : Whence alfo AC , BD are parallel . C b - PROP . A B XXXIV . - The oppofite Sides AB , CD , and AC , BD , of a Parallelo- C gram , as ABDC , are equal each to the ...
Side 36
... ABCD , be conceived to be moved perpen- dicularly along the whole Line BC , or BC along the whole Line AB , the Area of the Rectang . ABCD fhall be produced by C that Motion . Whence a Rectang . is faid to be made by the Multi ...
... ABCD , be conceived to be moved perpen- dicularly along the whole Line BC , or BC along the whole Line AB , the Area of the Rectang . ABCD fhall be produced by C that Motion . Whence a Rectang . is faid to be made by the Multi ...
Side 38
... ABCD , and a Tri- angle BCE , have the Same Bafe BC , and are between the Same Parallels AE , BC , #then is the Parallelo- gram ABCD the Dou- ble of the Triangle BCE . b a , b C 34. I. c 6 ax 38 EUCLID'S Elements ,
... ABCD , and a Tri- angle BCE , have the Same Bafe BC , and are between the Same Parallels AE , BC , #then is the Parallelo- gram ABCD the Dou- ble of the Triangle BCE . b a , b C 34. I. c 6 ax 38 EUCLID'S Elements ,
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.