Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
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Página 12
... equi- angular . I PROP . VI . THEOR . F two angles of a triangle be equal to one another , the fides which fubtend , or are oppofite to ... equiangular triangle is also equilateral . PROP . PROP . VII . THEOR . [ Book I. U 12 ELEMENTS.
... equi- angular . I PROP . VI . THEOR . F two angles of a triangle be equal to one another , the fides which fubtend , or are oppofite to ... equiangular triangle is also equilateral . PROP . PROP . VII . THEOR . [ Book I. U 12 ELEMENTS.
Página 111
... equiangular to the triangle DEF . Draw a the ftraight line GAH touching the circle in the a 17. 3 . point A , and at the point A , in the straight line AH , make b . b 23. 1 . the angle HAC equal to the angle DEF ; and at the point A ...
... equiangular to the triangle DEF . Draw a the ftraight line GAH touching the circle in the a 17. 3 . point A , and at the point A , in the straight line AH , make b . b 23. 1 . the angle HAC equal to the angle DEF ; and at the point A ...
Página 112
... angle MLN is equale to the remaining angle EDF : Wherefore the triangle LMN is equiangular to the triangle DEF : And it is described about the circle ABC . Which was to be done . PROP . Book IV . PROP . IV . PROB . To 112 ELEMENTS.
... angle MLN is equale to the remaining angle EDF : Wherefore the triangle LMN is equiangular to the triangle DEF : And it is described about the circle ABC . Which was to be done . PROP . Book IV . PROP . IV . PROB . To 112 ELEMENTS.
Página 119
... equiangular pen- tagon in a given circle . Let ABCDE be the given circle , it is required to infcribe an equilateral and equiangular pentagon in the circle ABCDE . Describe a an ifofceles triangle FGH , having each of the a 10. 4 ...
... equiangular pen- tagon in a given circle . Let ABCDE be the given circle , it is required to infcribe an equilateral and equiangular pentagon in the circle ABCDE . Describe a an ifofceles triangle FGH , having each of the a 10. 4 ...
Página 120
... equiangular ; and it has been shown that it is equilateral . Wherefore , in the given circle , an e- quilateral and equiangular pentagon has been infcribed . Which was to be done . : T PROP . XII . PROB . O defcribe an equilateral and ...
... equiangular ; and it has been shown that it is equilateral . Wherefore , in the given circle , an e- quilateral and equiangular pentagon has been infcribed . Which was to be done . : T PROP . XII . PROB . O defcribe an equilateral and ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore