## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |

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Page 10

Hence every equilateral triangle is also

Hence every equilateral triangle is also

**equiangular**. * 4. 1 . # 3 Ax . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to ... Page 11

Hence every

Hence every

**equiangular**triangle is also equilateral . PROP . VII . THEOR . CD Upon the same base , and on the same side of it , there cail- See N. not be two triangles that have their sides which are terminated in one extremity of the ... Page 86

... greater than the diameter of the circle . Which was to be done . * 3. 1 . D +1 Ax . PROP . II . PROB . In a given circle to inscribe a triangle

... greater than the diameter of the circle . Which was to be done . * 3. 1 . D +1 Ax . PROP . II . PROB . In a given circle to inscribe a triangle

**equiangular**to a given triangle . 4 * 23. 1 . H A A B Let ABC 1 86 EUCLID'S ELEMENTS . Page 87

H A A B Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle

H A A B Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle

**equiangular**to the triangle DEF . Draw * the straight line GAH touching the circle in 17.3 . the point A , and at ... Page 88

and therefore the remaining angle MLN is equal * to the remaining angle EDF : therefore the triangle LMN is

and therefore the remaining angle MLN is equal * to the remaining angle EDF : therefore the triangle LMN is

**equiangular**to the triangle DEF : and it is described about the circle ABC . Which was to be done . एन + Constr .### What people are saying - Write a review

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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equimultiples Euclid excess figure fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise logarithm magnitude manner meet multiple opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition proved pyramid radius reason rectangle rectilineal figure remaining right angles segment shewn sides similar sine solid sphere square square of AC taken THEOR third triangle ABC wherefore whole