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 19
Side 37
... ABCD , EBCF ( see the 2d and 3d figures ) be upon the same base BC , and between the same parallels AF , BC ; the parallelo- gram ABCD shall be equal to the parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCF ...
... ABCD , EBCF ( see the 2d and 3d figures ) be upon the same base BC , and between the same parallels AF , BC ; the parallelo- gram ABCD shall be equal to the parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCF ...
Side 38
... 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 another . Let ABCD ...
... 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 another . Let ABCD ...
Side 39
... 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 ABCD is equal to EFGH . Where- fore ...
... 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 ABCD is equal to EFGH . Where- fore ...
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
... ABCD is 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 ...
... ABCD is 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 ...
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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