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 TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 55
Pagina 14
... reason , the ex- terior angle CEB of the triangle ABE is greater than BÁC ; and it has been demonstrated that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAC . Therefore , if from ...
... reason , the ex- terior angle CEB of the triangle ABE is greater than BÁC ; and it has been demonstrated that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAC . Therefore , if from ...
Pagina 23
... reason EF is equal to BC ; where- fore AD is equal ( Ax . 1 ) to EF ; and DE is common ; therefore the whole , or the remainder AE is equal ( Ax . 2 or 3 ) to the whole or the remain- der DF ; now AB is also equal to DC ; therefore the ...
... reason EF is equal to BC ; where- fore AD is equal ( Ax . 1 ) to EF ; and DE is common ; therefore the whole , or the remainder AE is equal ( Ax . 2 or 3 ) to the whole or the remain- der DF ; now AB is also equal to DC ; therefore the ...
Pagina 24
... reason , the parallelogram EFGH is equal to the same EBCH : therefore also the parallelogram ABCD is equal to EFGH . Wherefore , parallelograms , & c . Q. E. D. PROP . XXXVII . THEOR . Triangles upon the same base , and between the same ...
... reason , the parallelogram EFGH is equal to the same EBCH : therefore also the parallelogram ABCD is equal to EFGH . Wherefore , parallelograms , & c . Q. E. D. PROP . XXXVII . THEOR . Triangles upon the same base , and between the same ...
Pagina 27
... reason , the triangle KGC is equal to the triangle KFC ; then , because the triangle AEK is equal to the triangle AHK , and the triangle KGC to the triangle KFC ; the triangle AEK , together with the triangle KGC , is equal to the ...
... reason , the triangle KGC is equal to the triangle KFC ; then , because the triangle AEK is equal to the triangle AHK , and the triangle KGC to the triangle KFC ; the triangle AEK , together with the triangle KGC , is equal to the ...
Pagina 30
... reason , AB and AH are in the same straight line ; now , because the angle DBC is equal to the angle FBA , each of them being a right angle , adding to each the angle ABC , the whole angle DBA will be equal ( Ax . 2 ) to the whole FBC ...
... reason , AB and AH are in the same straight line ; now , because the angle DBC is equal to the angle FBA , each of them being a right angle , adding to each the angle ABC , the whole angle DBA will be equal ( Ax . 2 ) to the whole FBC ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore