The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 1-5 av 30
Side 36
... parallelogram is a four - sided figure , of which the opposite sides are parallel ; and the diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides ...
... parallelogram is a four - sided figure , of which the opposite sides are parallel ; and the diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides ...
Side 37
... parallelogram ACDB into two equal parts . Q. E. D. PROP . XXXV . THEOR . Parallelograms upon the same base and between the same parallels , are equal to one another . Let the parallelograms ABCD , EBCF ( see the 2d and 3d figures ) be ...
... parallelogram ACDB into two equal parts . Q. E. D. PROP . XXXV . THEOR . Parallelograms upon the same base and between the same parallels , are equal to one another . Let the parallelograms ABCD , EBCF ( see the 2d and 3d figures ) be ...
Side 38
... parallelogram ABCD is equal to the parallelogram EBC F. Therefore , parallelograms upon the same base , & c . Q. E. D. PROP . XXXVI . THEOR . A DE H Parallelograms upon equal bases , and between the same parallels , are equal to one ...
... parallelogram ABCD is equal to the parallelogram EBC F. Therefore , parallelograms upon the same base , & c . Q. E. D. PROP . XXXVI . THEOR . A DE H Parallelograms upon equal bases , and between the same parallels , are equal to one ...
Side 39
... parallelogram ; and it is equal ( 1. 35. ) to ABCD , because it is upon the same base BC , and between the same parallels BC , AD : For the like reason , the parallelogram EFGH is equal to the same EBCH : Therefore also the parallelogram ...
... parallelogram ; and it is equal ( 1. 35. ) to ABCD , because it is upon the same base BC , and between the same parallels BC , AD : For the like reason , the parallelogram EFGH is equal to the same EBCH : Therefore also the parallelogram ...
Side 40
... parallelogram ; and they are equal to ( 1. 36. ) one another , be- cause they are upon equal bases BC , EF , and between the same parallels BF , GH ; and the tri- angle ABC is the half ( 1. 34. ) of the parallelogram GBCA , because the ...
... parallelogram ; and they are equal to ( 1. 36. ) one another , be- cause they are upon equal bases BC , EF , and between the same parallels BF , GH ; and the tri- angle ABC is the half ( 1. 34. ) of the parallelogram GBCA , because 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