The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 35
... parts . Wherefore , The opposite sides , & c . 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 be upon the same BOOK I. 35.
... parts . Wherefore , The opposite sides , & c . 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 be upon the same BOOK I. 35.
Página 36
... ABCD shall be equal to the parallelogram EBCF . If ( fig . 1 ) the points D , E coincide , it is plain that each of the parallelograms ABCD , DBCF is double of the triangle BDC ( 1. 34 ) , and they are therefore equal to one another ...
... ABCD shall be equal to the parallelogram EBCF . If ( fig . 1 ) the points D , E coincide , it is plain that each of the parallelograms ABCD , DBCF is double of the triangle BDC ( 1. 34 ) , and they are therefore equal to one another ...
Página 37
... ABCD shall be equal to EFGH . A DE H C F G Join BE , CH : Then because BC is equal to FG , and FG to EH ( 1. 34 ) ... ABCD , because it is upon the same base BC , and between the same parallels BC , AH ( 1.35 ) : For the like reason , the ...
... ABCD shall be equal to EFGH . A DE H C F G Join BE , CH : Then because BC is equal to FG , and FG to EH ( 1. 34 ) ... ABCD , because it is upon the same base BC , and between the same parallels BC , AH ( 1.35 ) : For the like reason , the ...
Página 40
... ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE : the parallelogram ABCD shall be double of the triangle EBC . A Ꭰ E Join AC : Then the triangle ABC is equal to the triangle EBC , because ...
... ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE : the parallelogram ABCD shall be double of the triangle EBC . A Ꭰ E Join AC : Then the triangle ABC is equal to the triangle EBC , because ...
Página 41
... ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelograms about AC , that is , through which AC passes , and BK , KD the other parallelograms which make up the whole figure ABCD , and are therefore called ...
... ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelograms about AC , that is , through which AC passes , and BK , KD the other parallelograms which make up the whole figure ABCD , and are therefore called ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore