## Euclidian Geometry |

### From inside the book

Results 6-10 of 45

Page 34

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**meet**it . Also all the points in each of these straight lines are equi- distant from the other . Let A be the given point without the given straight R line BC . From A draw AQL to B BC , and through A draw RAS L to AQ . Then the figure ... Page 35

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**meet**BC . DEF . Straight lines , lying in the same plane and which will never**meet**, though produced ever so far both ways , are called parallel . [ The name being due to the property established in the foregoing Lemma . ] PROPOSITION ... Page 36

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**meet**either towards QS or towards PR . Let them , if possible , be produced to**meet**towards Q , S in the point X. Then GHX is a △ ; and the exterior △ PGH is > the interior and opposite L GHX ; but it is also equal to it , which is ... Page 37

... rights ; ... they are togethers BFG , AFG : take away the common ↳ BFG ; ( 1.9 ) LFGD is = L AFG , and these are alternate angles ; .. AB is I to CD . PROPOSITION XXI . If a straight line

... rights ; ... they are togethers BFG , AFG : take away the common ↳ BFG ; ( 1.9 ) LFGD is = L AFG , and these are alternate angles ; .. AB is I to CD . PROPOSITION XXI . If a straight line

**meets**two parallel PARALLELS : 37 . Page 38

Francis Cuthbertson (M.A.). PROPOSITION XXI . If a straight line

Francis Cuthbertson (M.A.). PROPOSITION XXI . If a straight line

**meets**two parallel straight lines it makes the alternate angles equal to one another . Let the straight line FE**meet**the two || straight lines A AB , CD . Then shall △ AFG ...### 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