## Euclidian Geometry |

### From inside the book

Results 1-5 of 23

Page 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 ... Page 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 པ་ Page 72

...

...

**similar**manner to the above or deduced from it , thus : A H 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. THEOREM ( n ) . The ... Page 139

... AXC will continually diminish , and ultimately vanish . Hence the XA Tand the 4 in the segment ACX are together equal to two right angles . DEFINITION .

... AXC will continually diminish , and ultimately vanish . Hence the XA Tand the 4 in the segment ACX are together equal to two right angles . DEFINITION .

**Similar**segments are those which contain equal angles SUPPLEMENT TO BOOK III . 139. Page 140

Francis Cuthbertson (M.A.). DEFINITION .

Francis Cuthbertson (M.A.). DEFINITION .

**Similar**segments are those which contain equal angles . THEOREM ( h ) .**Similar**segments of circles having equal chords are equal in all respects . P A B C Let APB , CQD be**similar**segments of ...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole