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 19
Pagina 78
... multiple of B by m . When the number is intended to multiply two or more magnitudes that follow , it is written thus , m ( A + B ) , which sig- nifies the sum of A and B taken m times ; m ( A - B ) is m times the excess of A above B ...
... multiple of B by m . When the number is intended to multiply two or more magnitudes that follow , it is written thus , m ( A + B ) , which sig- nifies the sum of A and B taken m times ; m ( A - B ) is m times the excess of A above B ...
Pagina 79
... multiple of a less , when the greater is measured by the less , that is , when the greater contains the less a ... multiple of the first is greater than the multiple of the second , equal to it , or less , the multiple of the third is ...
... multiple of a less , when the greater is measured by the less , that is , when the greater contains the less a ... multiple of the first is greater than the multiple of the second , equal to it , or less , the multiple of the third is ...
Pagina 81
... multiple of a greater magnitude is greater than the same multiple of a less . IV . The magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude . F PROP . I. THEOR . If any number ...
... multiple of a greater magnitude is greater than the same multiple of a less . IV . The magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude . F PROP . I. THEOR . If any number ...
Pagina 82
... multiple of D + E + F . There- fore , & c . Q. E. D. COR . Hence , if m be any number , mD + mE + mF = m ( D + E + F ) . For mD , mE , and mF are multiples of D , E , and F by m , therefore their sum is also a multiple of D + E + F by m ...
... multiple of D + E + F . There- fore , & c . Q. E. D. COR . Hence , if m be any number , mD + mE + mF = m ( D + E + F ) . For mD , mE , and mF are multiples of D , E , and F by m , therefore their sum is also a multiple of D + E + F by m ...
Pagina 83
... multiple of the second , that the multiple of the third has to the multiple of the fourth . Let A : B :: C : D , and let m and n be any two numbers ; mA : nB :: mCnD . Take of mA and mC equimultiples by any number p , and of nB and nD ...
... multiple of the second , that the multiple of the third has to the multiple of the fourth . Let A : B :: C : D , and let m and n be any two numbers ; mA : nB :: mCnD . Take of mA and mC equimultiples by any number p , and of nB and nD ...
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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