The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 20
... Q. E. D. COR . 1. From this it is manifest , that , if two straight lines cut one another , the angles they make at ... PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the ...
... Q. E. D. COR . 1. From this it is manifest , that , if two straight lines cut one another , the angles they make at ... PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the ...
Side 21
... Q. E. D. PROP . XVIII . THEOR . The greater side of every triangle is opposite to the greater angle . Let A B C be a triangle , of which the side AC is greater than the side A B ; the angle A B C is also greater than the angle BCA ...
... Q. E. D. PROP . XVIII . THEOR . The greater side of every triangle is opposite to the greater angle . Let A B C be a triangle , of which the side AC is greater than the side A B ; the angle A B C is also greater than the angle BCA ...
Side 22
... Q. E. D. PROP . XIX . THEOR . The greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let A B C be a triangle , of which the angle ABC is greater than the angle B CA ; the side A C ...
... Q. E. D. PROP . XIX . THEOR . The greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let A B C be a triangle , of which the angle ABC is greater than the angle B CA ; the side A C ...
Side 23
... Q. E. D. PROP . XXI . THEOR . If , from the ends of the side of a triangle , there be drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a greater ...
... Q. E. D. PROP . XXI . THEOR . If , from the ends of the side of a triangle , there be drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a greater ...
Side 24
... Q. E. D. PROP . XXII . 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 ...
... Q. E. D. PROP . XXII . 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 ...
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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