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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Αποτελέσματα 1 - 5 από τα 22.
Σελίδα 107
... multiple of B by 66 m . When the number is intended to multiply two or more mag- " nitudes that follow , it is written thus , m ( A + B ) , which signifies " the sum of A and B taken m times ; m ( A – B ) is m times the ex- " cess of A ...
... multiple of B by 66 m . When the number is intended to multiply two or more mag- " nitudes that follow , it is written thus , m ( A + B ) , which signifies " the sum of A and B taken m times ; m ( A – B ) is m times the ex- " cess of A ...
Σελίδα 108
... multiple of a less , when the great- er 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 mul- tiple of the third ...
... multiple of a less , when the great- er 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 mul- tiple of the third ...
Σελίδα 109
... multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the ...
... multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the ...
Σελίδα 111
... multiples , are equal to one another . III . A multiple of a greater magnitude is greater than the same multiple of a less . IV . That magnitude of which a multiple is greater than the same multiple of another , is greater than that ...
... multiples , are equal to one another . III . A multiple of a greater magnitude is greater than the same multiple of a less . IV . That magnitude of which a multiple is greater than the same multiple of another , is greater than that ...
Σελίδα 112
... multiple of D + E + F . Therefore , & 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 . Therefore , & 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 ...
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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 multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals 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 parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore