The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 24
... that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAC . Therefore , if from the ends of & c . Q. E. D. PROP . XXII . PROB . To make a triangle 24 EUCLID'S ELEMENTS .
... that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAC . Therefore , if from the ends of & c . Q. E. D. PROP . XXII . PROB . To make a triangle 24 EUCLID'S ELEMENTS .
Page 25
... PROB . To make a triangle of which the sides shall be equal to three given straight lines , but any two what- ever of these must be greater than the third . * Let A , B , C , be the three given straight lines , of which any two whatever ...
... PROB . To make a triangle of which the sides shall be equal to three given straight lines , but any two what- ever of these must be greater than the third . * Let A , B , C , be the three given straight lines , of which any two whatever ...
Page 33
... PROB . * To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw a straight line through the point A , pa- rallel to the ...
... PROB . * To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw a straight line through the point A , pa- rallel to the ...
Page 41
... PROB . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the given triangle , and D the 10. 1 . * 23.1 . given rectilineal angle . E 3 BOOK I ...
... PROB . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the given triangle , and D the 10. 1 . * 23.1 . given rectilineal angle . E 3 BOOK I ...
Page 43
... PROB . To a given straight line to apply a parallelogram which shall be equal to a given triangle , and have one of its angles equal to a given rectili- neal angle . Let AB be the given straight line , and C the given triangle , and D ...
... PROB . To a given straight line to apply a parallelogram which shall be equal to a given triangle , and have one of its angles equal to a given rectili- neal angle . Let AB be the given straight line , and C the given triangle , and D ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole