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, 1836 - 311 páginas |
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Resultados 1-5 de 43
Página 26
... ABCD , EBCF be upon the same base BC , and between the same parallels AF , BC ; the parallelogram ABCD is equal to the paral- lelogram EBCF . If the sides AD , DF of the parallelo- grams ABCD , DBCF opposite to the base BC be terminated ...
... ABCD , EBCF be upon the same base BC , and between the same parallels AF , BC ; the parallelogram ABCD is equal to the paral- lelogram EBCF . If the sides AD , DF of the parallelo- grams ABCD , DBCF opposite to the base BC be terminated ...
Página 27
... ABCD is equal to the parallelogram EBCF . PROP . XXX . THEOR . Parallelograms upon equal bases , and between the same parallels , are equivalent to one another . Let ABCD , EFGH be parallelograms upon equal bases BC , FG , and between ...
... ABCD is equal to the parallelogram EBCF . PROP . XXX . THEOR . Parallelograms upon equal bases , and between the same parallels , are equivalent to one another . Let ABCD , EFGH be parallelograms upon equal bases BC , FG , and between ...
Página 29
... ABCD and the tri- angle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD is double of the trian- gle EBC . Join AC ; then the triangle ABC is equal ( 31. 1. ) to the triangle EBC , because ...
... ABCD and the tri- angle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD is double of the trian- gle EBC . Join AC ; then the triangle ABC is equal ( 31. 1. ) to the triangle EBC , because ...
Página 30
... ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelo- grams , which make up the whole figure ABCD , and are ...
... ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelo- grams , which make up the whole figure ABCD , and are ...
Página 40
... ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an angle equal to E. Join DB , and describe ( Prob . 14. ) the parallelogram FH equal to ...
... ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an angle equal to E. Join DB , and describe ( Prob . 14. ) the parallelogram FH equal to ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore