Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of] Algebra |
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Página 11
... meet towards B , D. In like manner it may be demonstrated that they do not meet towards H , C ; but those straight lines which meet neither way , though produced ever so far , are parallel to one another . AB therefore is parallel to CD ...
... meet towards B , D. In like manner it may be demonstrated that they do not meet towards H , C ; but those straight lines which meet neither way , though produced ever so far , are parallel to one another . AB therefore is parallel to CD ...
Página 13
... meet together if continually produced ; therefore the straight lines AB , CD , if produced far enough , shall meet ; but they never meet since they are parallel by the hypothesis ; therefore the angle AGH is not unequal to GHD , that is ...
... meet together if continually produced ; therefore the straight lines AB , CD , if produced far enough , shall meet ; but they never meet since they are parallel by the hypothesis ; therefore the angle AGH is not unequal to GHD , that is ...
Página 14
... meets them , the alternate angles BAC , ACE , are equal . Again , because AB is parallel to CE , and BD falls upon them , the exterior angle ECD is equal to the interior and opposite angle ABC ; but the angle ACE was shown to be equal ...
... meets them , the alternate angles BAC , ACE , are equal . Again , because AB is parallel to CE , and BD falls upon them , the exterior angle ECD is equal to the interior and opposite angle ABC ; but the angle ACE was shown to be equal ...
Página 15
... meets them , the alternate angles ABC , BCD , are equal ; and because AB is equal to CD , and BC common to the two triangles ABC , DCB , the two AB , BC , are equal to the two · B DC , CB ; and the angle ABC is equal to BCD ; there ...
... meets them , the alternate angles ABC , BCD , are equal ; and because AB is equal to CD , and BC common to the two triangles ABC , DCB , the two AB , BC , are equal to the two · B DC , CB ; and the angle ABC is equal to BCD ; there ...
Página 20
... meet at K ; through K draw KL , parallel to EA or FH , and produce HA , GB , to L , M : then HLKF is a parallelogram ... meets the parallels KM , FG , the angles MHG , HGF , are equal : add to each HGL : then MHG , HGL , are equal to HGF ...
... meet at K ; through K draw KL , parallel to EA or FH , and produce HA , GB , to L , M : then HLKF is a parallelogram ... meets the parallels KM , FG , the angles MHG , HGF , are equal : add to each HGL : then MHG , HGL , are equal to HGF ...
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Stewart's Specific Subjects. Euclid. [1st] (-3rd Stage). [With 2 Issues Of ... Stewart W and Co Sin vista previa disponible - 2015 |
Términos y frases comunes
ABC is equal adjacent angles alternate angles angle ABC angle ACD angle AGH angle BAC angle EDF angles CBA angles equal base BC bisect centre coincide cows cubic feet diameter divided equal sides equal to AB equal to BC equilateral triangle exterior angle figure Find the value fore given point given rectilineal angle given straight line gnomon History of England HOLBORN VIADUCT inches interior and opposite join length less Let ABC likewise opposite angle parallel to CD parallelogram perpendicular pigs produced quantity rectangle contained remaining angle right angles shillings side BC sides are opposite sides equal solid content square of AC Stewart Ross STEWART'S third angle trapezium triangle ABC twice the rectangle whole x²y yards
Pasajes populares
Página 19 - If two triangles have two sides of the one equal to two sides of the...
Página 1 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
Página 8 - Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another.
Página 16 - Any two sides of a triangle are together greater than the third side.
Página 12 - IF a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Página 5 - IF two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.