Euclidian GeometryMacmillan, 1874 - 349 sider |
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Side vi
... similar rectilineal figures by contemplating their homologous sides and then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a ...
... similar rectilineal figures by contemplating their homologous sides and then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a ...
Side 55
... similar proof it may be shewn that equal triangles upon equal bases in the same straight line and on the same side of that line are between the same parallels . PROPOSITION XXXIV . The complements of the parallelograms , which AREAS . 55.
... similar proof it may be shewn that equal triangles upon equal bases in the same straight line and on the same side of that line are between the same parallels . PROPOSITION XXXIV . The complements of the parallelograms , which AREAS . 55.
Side 72
... similar manner to the above or deduced from it , thus : I + A H D Produce DA and make AX = HD . Then XC - ' CD . squares on XH , HD = twice the squares on XC , CH , i.e. squares on AD , HD = twice the squares on DC , CA. 1 THEOREM ( 2 ) ...
... similar manner to the above or deduced from it , thus : I + A H D Produce DA and make AX = HD . Then XC - ' CD . squares on XH , HD = twice the squares on XC , CH , i.e. squares on AD , HD = twice the squares on DC , CA. 1 THEOREM ( 2 ) ...
Side 139
... diminish , and ultimately vanish . and Hence the XAT and the 4 in the segment ACX are together equal to two right angles . e 。 DEFINITION . Similar segments are those which contain equal angles SUPPLEMENT TO BOOK III . 139.
... diminish , and ultimately vanish . and Hence the XAT and the 4 in the segment ACX are together equal to two right angles . e 。 DEFINITION . Similar segments are those which contain equal angles SUPPLEMENT TO BOOK III . 139.
Side 140
Francis Cuthbertson. DEFINITION . Similar segments are those which contain equal angles . THEOREM ( h ) . Similar segments of circles having equal chords are equal in all respects . Р B R Let APB , CQD be similar segments of circles ...
Francis Cuthbertson. DEFINITION . Similar segments are those which contain equal angles . THEOREM ( h ) . Similar segments of circles having equal chords are equal in all respects . Р B R Let APB , CQD be similar segments of circles ...
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Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex