Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Resultat 1-5 av 66
Side 2
... 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 Inclination of two right 8. A 2 EUCLID'S Elements . 2. A Line is Length without Breadth; as AB...
... 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 Inclination of two right 8. A 2 EUCLID'S Elements . 2. A Line is Length without Breadth; as AB...
Side 9
... manner , the first Quantity , or any of the intermediate ones , by virtue of this Axiom , is equal to the laft : in which cafe , for brevity's fake , we usually omit citing this Axiom , notwithstanding the Force of the Confequence ...
... manner , the first Quantity , or any of the intermediate ones , by virtue of this Axiom , is equal to the laft : in which cafe , for brevity's fake , we usually omit citing this Axiom , notwithstanding the Force of the Confequence ...
Side 12
... from which draw two right Lines , CA , CB : then is AC = AB BC AC . Wherefore the Tri- angle ACB is an equilateral one . Which was to be done . - SCHO- SCHOLIUM . After the fame manner may an Ifofceles Tri- 12 EUCLID'S Elements :
... from which draw two right Lines , CA , CB : then is AC = AB BC AC . Wherefore the Tri- angle ACB is an equilateral one . Which was to be done . - SCHO- SCHOLIUM . After the fame manner may an Ifofceles Tri- 12 EUCLID'S Elements :
Side 13
Euclid. SCHOLIUM . After the fame manner may an Ifofceles Tri- angle be described upon the Line AB , if the Distances or Intervals of the equal Circles be taken greater or lefs than the Line AB . PROP . II . From a given Point A , to ...
Euclid. SCHOLIUM . After the fame manner may an Ifofceles Tri- angle be described upon the Line AB , if the Distances or Intervals of the equal Circles be taken greater or lefs than the Line AB . PROP . II . From a given Point A , to ...
Side 21
... manner that the vertical Angles D and B are equal to one another ; the faid Lines EA , AF , lie both in the fame strait Line . For the Angle D + A e 3 ax . two right Angles , f 13. 1 . = B + A : therefore EA , AF , lie both in the g 14 ...
... manner that the vertical Angles D and B are equal to one another ; the faid Lines EA , AF , lie both in the fame strait Line . For the Angle D + A e 3 ax . two right Angles , f 13. 1 . = B + A : therefore EA , AF , lie both in the g 14 ...
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.