The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 1-5 of 58
Page 6
And that a circle may be described from any centre , at any distance from that centre . a AXIOMS . I. THINGS which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III .
And that a circle may be described from any centre , at any distance from that centre . a AXIOMS . I. THINGS which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III .
Page 8
... BC are equal to one another : and the triangle ABC is therefore equilateral , and it is described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal ...
... BC are equal to one another : and the triangle ABC is therefore equilateral , and it is described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal ...
Page 42
... angles CEF equalt to the given angle D : wherefore a parallelogram FECG has been described equal to the given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . Me # PROP . XLIII . THEOR .
... angles CEF equalt to the given angle D : wherefore a parallelogram FECG has been described equal to the given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . Me # PROP . XLIII . THEOR .
Page 45
Therefore the parallelogram KFLM has been described equal to the given rectilineal . figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . OR . - From thi t is manifest how to a given straight line to ...
Therefore the parallelogram KFLM has been described equal to the given rectilineal . figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . OR . - From thi t is manifest how to a given straight line to ...
Page 46
In any right - angled triangle , the square which is described upon the side subtending the right angle , is equal to the squares described upon the sides which contain the right angle . Let ABC be a right - angled triangle having * 14 ...
In any right - angled triangle , the square which is described upon the side subtending the right angle , is equal to the squares described upon the sides which contain the right angle . Let ABC be a right - angled triangle having * 14 ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
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 |