The Elements of Euclid |
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Page 15
Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . с From the centre A , at the distance AB , describe a the circle & 3. PostuBCD , and from the centre B , at late . the distance BA ...
Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . с From the centre A , at the distance AB , describe a the circle & 3. PostuBCD , and from the centre B , at late . the distance BA ...
Page 16
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 . E MC + Y 21 2 C 2 11 PROP . III . PROB . t FROM the greater of two given straight lines to cut off a part ...
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 . E MC + Y 21 2 C 2 11 PROP . III . PROB . t FROM the greater of two given straight lines to cut off a part ...
Page 21
4 ° to the angle B Cos1 EAF ; wherefore the given rectilineal angle BAC is bisected by the straight line AF , which was to be done . i PROP . X. PROB . TO bisect a given finite straight line , that is , to divide it into two equal parts ...
4 ° to the angle B Cos1 EAF ; wherefore the given rectilineal angle BAC is bisected by the straight line AF , which was to be done . i PROP . X. PROB . TO bisect a given finite straight line , that is , to divide it into two equal parts ...
Page 22
To draw a straight line at right angles to a given straight line , from a given point in the same . an OLE De PC CE m S a Let AB be , a given straight line , and C a point given in it : See Note . it is required to draw a straight line ...
To draw a straight line at right angles to a given straight line , from a given point in the same . an OLE De PC CE m S a Let AB be , a given straight line , and C a point given in it : See Note . it is required to draw a straight line ...
Page 23
D B с TO draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . ai Let AB be the given straight line , which may be produced to any length both ways , and let C be a point ...
D B с TO draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . ai Let AB be the given straight line , which may be produced to any length both ways , and let C be a point ...
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Other editions - View all
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |
Common terms and phrases
added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone 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 prisms produced PROP proportionals proposition pyramid 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
Bibliographic information
| Title | The Elements of Euclid |
| Authors | Euclid, Robert Simson |
| Editor | Robert Simson |
| Publisher | Johnson and Warner, 1811 |
| Original from | University of Chicago |
| Digitized | 17 Jun 2013 |
| Length | 518 pages |
| Export Citation | BiBTeX EndNote RefMan |