The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 2
D V L BY 6 6 -CE N.B. “ When several angles are at one point ' B , any one of them is expressed by three let- ... on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ...
D V L BY 6 6 -CE N.B. “ When several angles are at one point ' B , any one of them is expressed by three let- ... on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ...
Page 5
Of four - sided figures , a square is that which has all its sides equal , and all its angles right anglese XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII .
Of four - sided figures , a square is that which has all its sides equal , and all its angles right anglese XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII .
Page 7
All right angles are equal to one another . XII . * If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being ...
All right angles are equal to one another . XII . * If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being ...
Page 16
Describe * upon it an equilateral triangle ABC , and bisect * the angle ACB by the straight line CD . AB shall be cut into two equal ... To draw a straight line at right angles to a given straight line , from a given point in the same .
Describe * upon it an equilateral triangle ABC , and bisect * the angle ACB by the straight line CD . AB shall be cut into two equal ... To draw a straight line at right angles to a given straight line , from a given point in the same .
Page 17
But when the adjacent angles which one straight line makes with another straight line are equal to one another , each of them is called a right * * 10 Def . angle ; therefore each of the angles DCF , ECF is a right angle .
But when the adjacent angles which one straight line makes with another straight line are equal to one another , each of them is called a right * * 10 Def . angle ; therefore each of the angles DCF , ECF is a right angle .
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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |
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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 |