The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 97
... segment greater than a semicircle is less than a right angle ; and the angle in a seg- ment less than a semicircle is greater than a right angle . K Let ABCD be a circle , of which the diameter BOOK III . PROPS . XXX , XXXI . 97.
... segment greater than a semicircle is less than a right angle ; and the angle in a seg- ment less than a semicircle is greater than a right angle . K Let ABCD be a circle , of which the diameter BOOK III . PROPS . XXX , XXXI . 97.
Side 98
... segments A B C , A D C , and join B A , AD , DC ; the angle in the semicircle B A C is a right angle ; and the angle in the segment A B C , which is greater than a semicircle , is less than a right angle ; and the angle in the segment ...
... segments A B C , A D C , and join B A , AD , DC ; the angle in the semicircle B A C is a right angle ; and the angle in the segment A B C , which is greater than a semicircle , is less than a right angle ; and the angle in the segment ...
Side 99
... segments of the circle : that is , the angle F BD is equal to the angle which is in the segment DA B , and the angle DBE to the angle in the segment B C D. A From the point в draw ( I. 11. ) BA at right angles to EF , and take any point ...
... segments of the circle : that is , the angle F BD is equal to the angle which is in the segment DA B , and the angle DBE to the angle in the segment B C D. A From the point в draw ( I. 11. ) BA at right angles to EF , and take any point ...
Side 100
... segment of the circle . Wherefore , if a straight line , & c . Q. E. D. PROP . XXXIII . PROB . Upon a given straight line to describe a segment of a circle , containing an angle equal to a given rectilineal angle . Let AB be the given ...
... segment of the circle . Wherefore , if a straight line , & c . Q. E. D. PROP . XXXIII . PROB . Upon a given straight line to describe a segment of a circle , containing an angle equal to a given rectilineal angle . Let AB be the given ...
Side 101
... segment AHB : Wherefore , upon the given straight line A B the segment AHB of a circle is described which contains an angle equal to the given angle at c . Which was to be done . PROP . XXXIV . PROB . To cut off a segment from a given ...
... segment AHB : Wherefore , upon the given straight line A B the segment AHB of a circle is described which contains an angle equal to the given angle at c . Which was to be done . PROP . XXXIV . PROB . To cut off a segment from a given ...
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The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
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