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 24
Side 5
... double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ...
... double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ...
Side 37
... double ( 1. 34. ) of the triangle BDC ; and they B D F 1 are therefore equal to one another . But , if the sides AD , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not termi- E nated in the same point ; then ...
... double ( 1. 34. ) of the triangle BDC ; and they B D F 1 are therefore equal to one another . But , if the sides AD , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not termi- E nated in the same point ; then ...
Side 41
... ; the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon the same base BC , and between the E 3 BOOK I. PROPS . XL . XLI . 41 impossible Therefore AE is not parallel to BC, In ...
... ; the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon the same base BC , and between the E 3 BOOK I. PROPS . XL . XLI . 41 impossible Therefore AE is not parallel to BC, In ...
Side 42
... double of the triangle EBC . Join AC ; then the triangle ABC is equal ( 1. 37. ) to the tri- B D E angle EBC , because they are upon the same base BC , and between the same parallels BC , AE . But the parallelogram ABCD is double ( 1 ...
... double of the triangle EBC . Join AC ; then the triangle ABC is equal ( 1. 37. ) to the tri- B D E angle EBC , because they are upon the same base BC , and between the same parallels BC , AE . But the parallelogram ABCD is double ( 1 ...
Side 48
... double of the triangle FBC , because these also are upon the same base FB , and between the same parallels FB , GC . But the doubles of equals are equal ( Ax . 6. ) to one another : Therefore the pa- rallelogram BL is equal to the ...
... double of the triangle FBC , because these also are upon the same base FB , and between the same parallels FB , GC . But the doubles of equals are equal ( Ax . 6. ) to one another : Therefore the pa- rallelogram BL is equal to the ...
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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 |
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