Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical TrigonometryW.E. Dean, 1839 - 318 sider |
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Resultat 1-5 av 37
Side 44
... ABCD is equal to the parallelogram EBCF . A If the sides AD , DF of the parallel- ograms ABCD , DBCF opposite to the base BC be terminated in the same point D ; it is plain that each of the par- allelograms is double ( 34. 1. ) of the ...
... ABCD is equal to the parallelogram EBCF . A If the sides AD , DF of the parallel- ograms ABCD , DBCF opposite to the base BC be terminated in the same point D ; it is plain that each of the par- allelograms is double ( 34. 1. ) of the ...
Side 45
... ABCD is equal to the parallelo- gram EBCF . Therefore , parallelograms upon the same base , & c . Q. E. D. ' PROP . XXXVI . THEOR . Parallelograms upon equal bases , and between the same paral- lels , are equal to one another . Let ABCD ...
... ABCD is equal to the parallelo- gram EBCF . Therefore , parallelograms upon the same base , & c . Q. E. D. ' PROP . XXXVI . THEOR . Parallelograms upon equal bases , and between the same paral- lels , are equal to one another . Let ABCD ...
Side 47
... ABCD and the triangle EBC be upon the same base BC and between the same par- A D E allels BC , AE ; the parallelogram ABCD is double of the triangle EBC . Join AC ; then the triangle ABC is e- qual ( 37. 1. ) to the triangle EBC , be ...
... ABCD and the triangle EBC be upon the same base BC and between the same par- A D E allels BC , AE ; the parallelogram ABCD is double of the triangle EBC . Join AC ; then the triangle ABC is e- qual ( 37. 1. ) to the triangle EBC , be ...
Side 48
... ABCD , and are there- fore called the complements : The- complement BK is equal to the com- plement KD . E Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 34. 1. ) to the triangle ADC : And because EKHA ...
... ABCD , and are there- fore called the complements : The- complement BK is equal to the com- plement KD . E Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 34. 1. ) to the triangle ADC : And because EKHA ...
Side 50
... ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done .. COR . From this it ...
... ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done .. COR . From this it ...
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Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore