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 TrigonometryLippincott, Grambo & Company, 1854 - 317 sider |
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Resultat 1-5 av 19
Side 106
... multiple of B by m . When the num- " ber is intended to multiply two or more magnitudes 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 excess of A above ...
... multiple of B by m . When the num- " ber is intended to multiply two or more magnitudes 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 excess of A above ...
Side 107
... multiple of the first is greater than the multiple of the second , equal to it , or less , the multiple of the third is also greater than the multiple of the fourth , equal to it , or less ; then the first of the magnitudes is said to ...
... multiple of the first is greater than the multiple of the second , equal to it , or less , the multiple of the third is also greater than the multiple of the fourth , equal to it , or less ; then the first of the magnitudes is said to ...
Side 109
... multiples , are equal to one another . 3. A multiple of a greater magnitude is greater than the same multiple of a less . 4. That magnitude of which a multiple is greater than the same multi- ple of another , is greater than that other ...
... multiples , are equal to one another . 3. A multiple of a greater magnitude is greater than the same multiple of a less . 4. That magnitude of which a multiple is greater than the same multi- ple of another , is greater than that other ...
Side 110
... multiple of D + E + F . 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 . PROP . II . THEOR . If to a ...
... multiple of D + E + F . 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 . PROP . II . THEOR . If to a ...
Side 111
... 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 :: mC : nD . Take of mA and mC equimultiples by any number p , and of nB and ...
... 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 :: mC : nD . Take of mA and mC equimultiples by any number p , and of nB and ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore