Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Inni boken
Resultat 1-5 av 20
Side 6
... angled 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 .
... angled 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 .
Side 7
... gles of the one Figure be equal to the feveral Angles of the other . The fame is to be under- ftood of equilateral Figures . B C A D B C Α ' A D 29. Of Quadrilateral , or Four - fided Figures , a Square is that whofe Sides are equal ...
... gles of the one Figure be equal to the feveral Angles of the other . The fame is to be under- ftood of equilateral Figures . B C A D B C Α ' A D 29. Of Quadrilateral , or Four - fided Figures , a Square is that whofe Sides are equal ...
Side 15
... gles ( B , C ) fhall be equal to the remaining Angles ( b , c ) each to each , under which the equal Sides are fubtended . If the Point a be applied to the Point A , and the right Line ab placed upon the right Line AB , the Point b ...
... gles ( B , C ) fhall be equal to the remaining Angles ( b , c ) each to each , under which the equal Sides are fubtended . If the Point a be applied to the Point A , and the right Line ab placed upon the right Line AB , the Point b ...
Side 18
... gles A and a do coincided : wherefore those Angles are equal . Q. E. D. COROLLARIES . 1. Hence Triangles mutually equilateral to one another , are also mutually f equiangular . 2. Triangles mutually equilateral , are equal the one to ...
... gles A and a do coincided : wherefore those Angles are equal . Q. E. D. COROLLARIES . 1. Hence Triangles mutually equilateral to one another , are also mutually f equiangular . 2. Triangles mutually equilateral , are equal the one to ...
Side 20
... gles ABC , ABD ; thofe are either two right An- gles , or both together e- qual to two right Angles . ABD be equal ; then it f 10 def . is manifeft they make two right Angles ; if un- equal , then from the Point B let there be erect- g ...
... gles ABC , ABD ; thofe are either two right An- gles , or both together e- qual to two right Angles . ABD be equal ; then it f 10 def . is manifeft they make two right Angles ; if un- equal , then from the Point B let there be erect- g ...
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.