## Euclidian Geometry |

### From inside the book

Results 6-10 of 48

Page 38

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**Theorems**: If a straight line fall upon two parallel straight lines , it makes the exterior L = the interior and opposite upon the same side . Let HK fall upon the two | straight lines AB , CD ; then shall the HFB be = L FGD . A B For ... Page 61

... , and so on ; thus we may obtain a △ equal to the given figure . = COR . Hence a parallelogram may be drawn a given rectilineal figure and having an angle = a given angle . SUPPLEMENT TO BOOK I.

... , and so on ; thus we may obtain a △ equal to the given figure . = COR . Hence a parallelogram may be drawn a given rectilineal figure and having an angle = a given angle . SUPPLEMENT TO BOOK I.

**THEOREM**( a ) . Of AREAS . 61. Page 62

Francis Cuthbertson (M.A.). SUPPLEMENT TO BOOK I.

Francis Cuthbertson (M.A.). SUPPLEMENT TO BOOK I.

**THEOREM**( a ) . Of all straight lines which can be drawn to a given straight line from a given point without it , that which is nearer to the ...**THEOREM**( 6 ) . If in any two sides ( 62 ) Page 63

Francis Cuthbertson (M.A.).

Francis Cuthbertson (M.A.).

**THEOREM**( 6 ) . If in any two sides and an opposite to one of them are respectively equal to the corresponding sides and △ s in another △ , then shall these as be equal in certain cases . B Let ABC , DEF be ... Page 71

... drawn from S to RT , each = B , which will be on the same side of SR if B be < A , and thus give two solutions ; otherwise , if B be not < A , only one solution .

... drawn from S to RT , each = B , which will be on the same side of SR if B be < A , and thus give two solutions ; otherwise , if B be not < A , only one solution .

**THEOREM**( m ) . If a straight line be SUPPLEMENT TO BOOK I. 71.### Other editions - View all

### Common terms and phrases

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 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 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