## 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 |

### From inside the book

Results 1-5 of 100

Page 14

... Let AB and C be the two giv- en straight lines , whereof AB is the greater . It is required to cut off from AB , the ...

... Let AB and C be the two giv- en straight lines , whereof AB is the greater . It is required to cut off from AB , the ...

**Let ABC**, DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ... Page 15

... ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each ...

... ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each ...

**Let ABC**be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be ... Page 16

... ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the ...

... ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the ...

**Let ABC**be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . D A ... Page 18

...

...

**Let ABC**, DEF be two triangles , having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; A and also the base BC equal to the base EF . The angle BAC is equal to the angle EDF . For ... Page 22

...

...

**ABC**; therefore the angles DBA ,**ABC**are equal to the three angles DBE , EBA ,**ABC**; but the angles CBE , EBD have ...**let**the two straight lines BC , BD upon the opposite sides of AB make the adjacent angles**ABC**, ABD equal together to ...### Other editions - View all

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

### Common terms and phrases

altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore