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 25
Pagina 3
... . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing , are equal to one another . * See Notes . VII . Things which are halves of the same thing BOOK FIRST . 3.
... . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing , are equal to one another . * See Notes . VII . Things which are halves of the same thing BOOK FIRST . 3.
Pagina 23
... double ( I. 34 ) the triangle BDC ; and they are there- fore equal to one another . B C But , if the sides AD , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not terminated in the same point ; then , because ABCD ...
... double ( I. 34 ) the triangle BDC ; and they are there- fore equal to one another . B C But , if the sides AD , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not terminated in the same point ; then , because ABCD ...
Pagina 26
... double ( I. 34 ) the triangle ABC , because the diagonal AC divides it into two equal parts ; wherefore ABCD is also double the triangle EBC . Therefore , if a parallelogram , & c . Q. E. D. PROP . XLII . PROB . To describe a ...
... double ( I. 34 ) the triangle ABC , because the diagonal AC divides it into two equal parts ; wherefore ABCD is also double the triangle EBC . Therefore , if a parallelogram , & c . Q. E. D. PROP . XLII . PROB . To describe a ...
Pagina 30
... double the triangle BFC , because these also are upon the same base FB , and between the same parallels FB , GC ; now the doubles of equals are equal ( Ax . 6 ) to one another ; there- fore the parallelogram B is equal to the square GB ...
... double the triangle BFC , because these also are upon the same base FB , and between the same parallels FB , GC ; now the doubles of equals are equal ( Ax . 6 ) to one another ; there- fore the parallelogram B is equal to the square GB ...
Pagina 36
... double of the square of half the line , and of the square of the line between the points of section . Let the straight line AB be divided at the point C into two equal , and at D into two unequal parts ; the squares of AD , DB are ...
... double of the square of half the line , and of the square of the line between the points of section . Let the straight line AB be divided at the point C into two equal , and at D into two unequal parts ; the squares of AD , DB are ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
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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