## Euclidian Geometry |

### From inside the book

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**prove**that figure DKQ = four times the rectangle ( AB , BC ) . Now the rectangles SF , SR , DX , CX are equal to one another , also the squares FT , TK , RT , TY are equal to one another ; ... figure DKQ = four times the figures SF , FT ... Page 139

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**prove**that the angle of a segment of a circle and the angle in it are together equal to two right angles . R Let AT be the tangent at one extremity of the base AX of the segment ACX . L Then shall the XAT and the 4 in the segment ACX be ... Page 234

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**Prove**that in the previous figure the lines bisect- ing thes at F , G will meet AH in the same point . 5. If the angles of one triangle are not severally equal to those of another , neither are their sides equal . 6. Divide a given ... Page 235

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**Prove**that the sum of the distances of any point from the three angles of a triangle is greater than half the perimeter . 23. Determine the shortest path from one point to another subject to the condition that it shall meet a given ... Page 240

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**Prove**that all the interior angles of an octagon are together double all the interior angles of a pentagon . 79. If one quadrilateral figure be equiangular to another and have two adjacent sides equal to the corre- sponding sides of the ...### 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