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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Resultados 1-5 de 19
Página 100
... multiple of B by m . When the num- 66 " 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 ...
... multiple of B by m . When the num- 66 " 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 ...
Página 101
... 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 ...
Página 103
... 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 ...
Página 104
... 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 ...
Página 105
... 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 ʼn be any two numbers ; mA : nB :: mC : nD . 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 ʼn be any two numbers ; mA : nB :: mC : nD . Take of mA and mC equimultiples by any number p , and of nB and nD ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC triangle DEF wherefore