## 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 69

Page 16

...

...

**equi- angular**. 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 an- gles , shall be equal to one another . Let ABC be a triangle having the angle ... Page 102

...

...

**equiangular**to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to describe a triangle about the circle ABC**equi- angular**to the triangle DEF . Produce EF both ways to the points G , H , and ... Page 103

...

...

**equiangular**to the triangle DEF : and it is described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given triangle . * Let the given triangle be ABC ; it is required to inscribe a circle in ... Page 109

...

...

**equiangular**pentagon in a given circle . A Let ABCDE be the given circle ; it is required to inscribe an equilateral and**equiangular**pentagon in the circle ABCDE . Describe ( 10. 4. ) an isosceles triangle FGH , having each of the ... Page 110

...

...

**equiangular**; because the cir- cumference AB is equal to the circumference DE : if to each be added BCD , the whole ...**equiangular**pentagon has been inscribed . Which was to be done . PROP . XII . PROB . To describe an equilateral and ...### 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