The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 6
“ 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 ... Let A B be the given straight line ; it is required to describe an equilateral triangle upon it .
“ 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 ... Let A B be the given straight line ; it is required to describe an equilateral triangle upon it .
Side 7
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 . From the point A to B draw ...
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 . From the point A to B draw ...
Side 14
the base E F , but the sides BA , CA do not coincide with the sides E D , F D , but have a different situation as E G ... to the angle E A F ; wherefore the given rectilineal angle BAC is bisected by the straight line A F. Which was to ...
the base E F , but the sides BA , CA do not coincide with the sides E D , F D , but have a different situation as E G ... to the angle E A F ; wherefore the given rectilineal angle BAC is bisected by the straight line A F. Which was to ...
Side 15
To bisect a given finite straight line , that is , to divide it into two equal parts . Let A B be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle A B C ...
To bisect a given finite straight line , that is , to divide it into two equal parts . Let A B be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle A B C ...
Side 16
angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point c , in the given straight line AB , FC has been drawn at right angles to AB . Which was to be done . COR .
angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point c , in the given straight line AB , FC has been drawn at right angles to AB . Which was to be done . COR .
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Vanlige uttrykk og setninger
A B C ABCD adjacent angle ABC angle ACB angle BAC angle equal base BC BC is equal bisect centre circle ABC circumference coincide common construct demonstrated describe diameter divided double draw equal angles equal to FB equilateral exterior angle extremity figure fore four given point given straight line greater impossible interior join less Let ABC likewise lines AC manner meet opposite angles opposite sides parallel parallelogram pass perpendicular PROB produced Q. E. D. PROP rectangle A B rectangle contained remaining remaining angle right angles segment semicircle shown sides squares of AC straight line A B Take taken THEOR third touch touches the circle triangle ABC twice the rectangle Wherefore whole
Bibliografisk informasjon
| Tittel | The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate Gleig's sch. series |
| Forfatter | Euclides |
| Redaktør | Thomas Tate |
| distribuert | 1851 |
| Original fra | Oxford University |
| Digitalisert | 30. jan 2009 |
| Lengde | 139 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |