Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Inni boken
Resultat 1-4 av 4
Side 47
... say the Rectangle under BA and AD , or , for brevity fake , B A C the Rectangle BAD , or BAX AD ( or ZA , for ZxA ) we mean the Rect- angle contain'd under BA and AD , comprehending a right Angle . D 2. In every Parallelogramick Space ...
... say the Rectangle under BA and AD , or , for brevity fake , B A C the Rectangle BAD , or BAX AD ( or ZA , for ZxA ) we mean the Rect- angle contain'd under BA and AD , comprehending a right Angle . D 2. In every Parallelogramick Space ...
Side 50
... its Angles . K L PROP . V. E G F M If any right Line AB be divided into equal Parts at C , and into unequal ones at D ; QI Say , the Rectangle contained under the un- equal D B equal Parts of the Whole , viz . AD , EUCLID'S Elements .
... its Angles . K L PROP . V. E G F M If any right Line AB be divided into equal Parts at C , and into unequal ones at D ; QI Say , the Rectangle contained under the un- equal D B equal Parts of the Whole , viz . AD , EUCLID'S Elements .
Side 93
... 23.1 . Let the right Line GH touch the given a 17.3 . Circle in A ; make the Ang . HAC = F ; and b the Ang . " GAB = E , and join BC . I say the thing is done . For C 32.3 . d conft . € 32. I. For Book IV . EUCLID'S Elements . 93.
... 23.1 . Let the right Line GH touch the given a 17.3 . Circle in A ; make the Ang . HAC = F ; and b the Ang . " GAB = E , and join BC . I say the thing is done . For C 32.3 . d conft . € 32. I. For Book IV . EUCLID'S Elements . 93.
Side 119
... say that BA . then fhall d སང་ ་ -iamns ---- ་ --- ས་ ནས་ ས་ " ན HCDL GABK C C B A PROP . XI . contra . Hyp . Proportions that are one and the fame to any third , are the fame the one to the other . : е a S. 5 . C Бура Let A B :: E : F ...
... say that BA . then fhall d སང་ ་ -iamns ---- ་ --- ས་ ནས་ ས་ " ན HCDL GABK C C B A PROP . XI . contra . Hyp . Proportions that are one and the fame to any third , are the fame the one to the other . : е a S. 5 . C Бура Let A B :: E : F ...
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.