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 |
Dentro del libro
Resultados 1-5 de 46
Página 30
... passes , and let BK , KD be the other parallelo- grams , which make up the whole figure ABCD , and are therefore called the com- plements ; The complement BK is equal to the complement KD . D E √K F B G C Because ABCD is a ...
... passes , and let BK , KD be the other parallelo- grams , which make up the whole figure ABCD , and are therefore called the com- plements ; The complement BK is equal to the complement KD . D E √K F B G C Because ABCD is a ...
Página 57
... pass through the centre , it will cut that line at right angles ; and if it cut it at right ungles , it will bisect it . Let ABC be a circle , and let CD , a straight line drawn through the cen- tre , bisect any straight line AB , which ...
... pass through the centre , it will cut that line at right angles ; and if it cut it at right ungles , it will bisect it . Let ABC be a circle , and let CD , a straight line drawn through the cen- tre , bisect any straight line AB , which ...
Página 58
... pass through the centre : AC , BD do not bisect one another . A F E B For if it is possible , let AE be equal to EC , and BE to ED ; If one of the lines pass through the centre , it is plain that it cannot be bisected by the other ...
... pass through the centre : AC , BD do not bisect one another . A F E B For if it is possible , let AE be equal to EC , and BE to ED ; If one of the lines pass through the centre , it is plain that it cannot be bisected by the other ...
Página 60
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre ; and of the rest that which is nearer to that through the centre is always greater than the more ...
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre ; and of the rest that which is nearer to that through the centre is always greater than the more ...
Página 62
... pass ( Cor . 1. Th . 3. 3. ) through each of the two cen- tres C and D. But no more than one straight line can be drawn through two points ; hence , the straight line which passes through the centres will bisect the chord at right ...
... pass ( Cor . 1. Th . 3. 3. ) through each of the two cen- tres C and D. But no more than one straight line can be drawn through two points ; hence , the straight line which passes through the centres will bisect the chord at right ...
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