The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 8
PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw from the point A a straight line equal to BC . # 1 Post .
PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw from the point A a straight line equal to BC . # 1 Post .
Page 9
Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . * 3 Ax , PROP . III . PROB . G * 2.1 . From the greater of two given straight lines to cut off a part equal ...
Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . * 3 Ax , PROP . III . PROB . G * 2.1 . From the greater of two given straight lines to cut off a part equal ...
Page 15
PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is requireu to bisect it . Take any point D in AB , and from AC cut * * 3 .
PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is requireu to bisect it . Take any point D in AB , and from AC cut * * 3 .
Page 16
X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe * upon it an equilateral triangle ABC ...
X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe * upon it an equilateral triangle ABC ...
Page 17
PROB . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB bé the given straight line , which may be produced to any length both ways , and let C be a point ...
PROB . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB bé the given straight line , which may be produced to any length both ways , and let C be a point ...
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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
altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole
Bibliographic information
| Title | The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
| Author | Euclid |
| Editors | Robert Simson, Samuel Maynard |
| Translated by | Robert Simson |
| Publisher | Longman, Orme, Brown, Green, and Longmans, 1838 |
| Original from | University of Iowa |
| Digitized | 13 Jul 2015 |
| Length | 328 pages |
| Export Citation | BiBTeX EndNote RefMan |