The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Side 24
... PROB . To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these must be greater than the third . ( 1. 20. ) Let A , B , C be the three given straight lines , of which any two ...
... PROB . To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these must be greater than the third . ( 1. 20. ) Let A , B , C be the three given straight lines , of which any two ...
Side 25
... PROB . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let A B be the given straight line , and a the given point in it , and DCE the given rectilineal angle ; it is required ...
... PROB . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let A B be the given straight line , and a the given point in it , and DCE the given rectilineal angle ; it is required ...
Side 33
... PROB . To draw a straight line through a given point parallel to a given straight line . А Let A be the given point , and BC the given straight line ; it is required to draw a straight line through the point A , parallel to the E ...
... PROB . To draw a straight line through a given point parallel to a given straight line . А Let A be the given point , and BC the given straight line ; it is required to draw a straight line through the point A , parallel to the E ...
Side 42
... PROB . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let A B C be the given triangle , and D the given rectilineal angle . It is required to ...
... PROB . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let A B C be the given triangle , and D the given rectilineal angle . It is required to ...
Side 43
... triangle ABC is equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD . Wherefore the complements , & c . Q. E. D. PROP . XLIV . PROB . To a given straight BOOK I. PROP . XLIII . 43.
... triangle ABC is equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD . Wherefore the complements , & c . Q. E. D. PROP . XLIV . PROB . To a given straight BOOK I. PROP . XLIII . 43.
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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