Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Resultat 1-5 av 44
Side 14
... ( A ) e- qual to one Angle ( a ) , contained under the equal right Lines : they fhall have the Base ( BC ) equal to the Bafe ( bc ) , and the Triangle ( BAC ) shall be e- ДД B qua qual to the Triangle ( bac ) ;, and the 14 EUCLID'S Elements .
... ( A ) e- qual to one Angle ( a ) , contained under the equal right Lines : they fhall have the Base ( BC ) equal to the Bafe ( bc ) , and the Triangle ( BAC ) shall be e- ДД B qua qual to the Triangle ( bac ) ;, and the 14 EUCLID'S Elements .
Side 15
... Bafe of an Ifofceles Triangle are equal to each other . And if the equal right Lines AB , AC , be continued out , the Angles ( CBD , BCE ) under the Bafe , are equal to each other . a 4 1 . Take AE AD , and a 3. 1 . join C , D , and , B ...
... Bafe of an Ifofceles Triangle are equal to each other . And if the equal right Lines AB , AC , be continued out , the Angles ( CBD , BCE ) under the Bafe , are equal to each other . a 4 1 . Take AE AD , and a 3. 1 . join C , D , and , B ...
Side 17
... Bafe BC equal to the Bafe bc ; then the Angles con- tained under the equal right Lines fhall be equal , viz . Aa . AA Because a hyp . b 8 ax . c byp . Book I. EUCLID'S Elements . 17 .
... Bafe BC equal to the Bafe bc ; then the Angles con- tained under the equal right Lines fhall be equal , viz . Aa . AA Because a hyp . b 8 ax . c byp . Book I. EUCLID'S Elements . 17 .
Side 18
... Bafe BC be laid on the Base bc , they will coincide : therefore fince . AB ab , and AC ac , the Point A will fall on a , ( for it cannot fall on any other Point , by the laft Propofition ; ) and fo the Sides of the An- gles A and a do ...
... Bafe BC be laid on the Base bc , they will coincide : therefore fince . AB ab , and AC ac , the Point A will fall on a , ( for it cannot fall on any other Point , by the laft Propofition ; ) and fo the Sides of the An- gles A and a do ...
Side 23
... Bafe , are acute Angles . с D PROP . B A XVIII . The greater Side ( AC ) of every Triangle ( ABC ) does fubtend the greater Angle ( ABC ) . = a . 17. I. From AC cut off ADb 3. 1 . AB , and join DB ; I. But & ADB d 16. 1 . then the Angle ...
... Bafe , are acute Angles . с D PROP . B A XVIII . The greater Side ( AC ) of every Triangle ( ABC ) does fubtend the greater Angle ( ABC ) . = a . 17. I. From AC cut off ADb 3. 1 . AB , and join DB ; I. But & ADB d 16. 1 . then the Angle ...
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.