## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Corrected |

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Side 10

A scalene triangle , is that which has three unequal

triangle , is that which has a right angle . XXVIII . An obtuse - angled triangle , is

that which has an obtuse ingle . XXIX . An acute - angled triangle , is that which ...

A scalene triangle , is that which has three unequal

**sides**. XXVII . A right - angledtriangle , is that which has a right angle . XXVIII . An obtuse - angled triangle , is

that which has an obtuse ingle . XXIX . An acute - angled triangle , is that which ...

Side 14

If two triangles have two

each ; and have likewise the angles contained by those

another , they shall likewise have their bases , or third

...

If two triangles have two

**sides**of the one equal to two**sides**of the other , each toeach ; and have likewise the angles contained by those

**sides**equal to oneanother , they shall likewise have their bases , or third

**sides**, equal ; and the two...

Side 15

A B to D Е , and AC to DF ; A D and the angle BAC equal to the angle EDF , the

base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ;

and the other angles , to which the equal

A B to D Е , and AC to DF ; A D and the angle BAC equal to the angle EDF , the

base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ;

and the other angles , to which the equal

**sides**are opposite , shall be equal ... Side 16

Because AF is equal to AG , and AB to AC , the two

two GA , AB , each to each ; and they contain the angle FAG common to the А two

triangles AFC , AGB ; therefore the base FC is equal ( 4. 1. ) to the base GB ...

Because AF is equal to AG , and AB to AC , the two

**sides**FA , AC are equal to thetwo GA , AB , each to each ; and they contain the angle FAG common to the А two

triangles AFC , AGB ; therefore the base FC is equal ( 4. 1. ) to the base GB ...

Side 17

UPON the same base , and on the same

that have their

terminated in the extremity A of the base equal to one another , and likewise their

C D ...

UPON the same base , and on the same

**side**of it , there cannot be two trianglesthat have their

**sides**which are ...**side**of it , which have their**sides**CA , DA ,terminated in the extremity A of the base equal to one another , and likewise their

C D ...

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The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2016 |

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |

### Vanlige uttrykk og setninger

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