The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 44
Euclides Thomas Tate. PROP . XLIV . PROB . To a given straight line to apply a parallelo- gram , which shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let AB be the given straight line ...
Euclides Thomas Tate. PROP . XLIV . PROB . To a given straight line to apply a parallelo- gram , which shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let AB be the given straight line ...
Side 45
... PROB . To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to de ...
... PROB . To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to de ...
Side 46
... PROB . To describe a square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . From the point A draw ( I. 11. ) AC at right angles to AB ; and make ( 1. 3. ) A D equal to AB ...
... PROB . To describe a square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . From the point A draw ( I. 11. ) AC at right angles to AB ; and make ( 1. 3. ) A D equal to AB ...
Side 62
... PROB . To divide a given straight line into two parts , so that the rectangle contained by the whole , and one of the parts , shall be equal to the square of the other part . Let AB be the given straight line ; it is required to divide ...
... PROB . To divide a given straight line into two parts , so that the rectangle contained by the whole , and one of the parts , shall be equal to the square of the other part . Let AB be the given straight line ; it is required to divide ...
Side 64
... PROB . XIII . THEOR . In every triangle , the square of the side sub- tending any of the acute angles is less than the squares of the sides containing that angle , by twice the rectangle contained by either of these sides , and the ...
... PROB . XIII . THEOR . In every triangle , the square of the side sub- tending any of the acute angles is less than the squares of the sides containing that angle , by twice the rectangle contained by either of these sides , and the ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle