Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Σελίδα 6
... Triangle , is that which hath one Angle obtufe as B. 28. An Oxygonious , or A- cute - angled Triangle , is that which hath three acute An- ` gles ; as C. An An Equiangular , or Equal - angled Figure , is 6 EUCLID'S Elements .
... Triangle , is that which hath one Angle obtufe as B. 28. An Oxygonious , or A- cute - angled Triangle , is that which hath three acute An- ` gles ; as C. An An Equiangular , or Equal - angled Figure , is 6 EUCLID'S Elements .
Σελίδα 7
Euclid. An Equiangular , or Equal - angled Figure , is that whereof all the Angles are equal : And two Figures are equiangular , if the feveral An- gles of the one Figure be equal to the feveral Angles of the other . The fame is to be ...
Euclid. An Equiangular , or Equal - angled Figure , is that whereof all the Angles are equal : And two Figures are equiangular , if the feveral An- gles of the one Figure be equal to the feveral Angles of the other . The fame is to be ...
Σελίδα 16
... equiangular Triangle is alfo e- quilateral . PROP . VII . If from the Extremes ( A , B ) of a right Line , two right Lines ( AC , BC ) be drawn to any Point C ; you · cannot draw two other right Lines ( AD , BD ) on the fame fide the ...
... equiangular Triangle is alfo e- quilateral . PROP . VII . If from the Extremes ( A , B ) of a right Line , two right Lines ( AC , BC ) be drawn to any Point C ; you · cannot draw two other right Lines ( AD , BD ) on the fame fide the ...
Σελίδα 18
... equiangular . 2. Triangles mutually equilateral , are equal the one to the other . D i I. I. k conftr . 1 8. 1 . B F E C PROP . IX . To . bifect or divide a given right - lined Angle BAC , into two equal Parts . i - Take h AD AE , and ...
... equiangular . 2. Triangles mutually equilateral , are equal the one to the other . D i I. I. k conftr . 1 8. 1 . B F E C PROP . IX . To . bifect or divide a given right - lined Angle BAC , into two equal Parts . i - Take h AD AE , and ...
Σελίδα 93
... equiangular to a given Triangle DEF . с 15. def . conft . G D A F E B C 2 H b a 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 ...
... equiangular to a given Triangle DEF . с 15. def . conft . G D A F E B C 2 H b a 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 ...
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.