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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Página 37
... radius equal to AB , the other given side , would cut BC on opposite sides of C ' ; so that only one obtuse angled triangle could be B A formed ; that is , the triangle BC'A will be thè triangle required . And , if the given angle were ...
... radius equal to AB , the other given side , would cut BC on opposite sides of C ' ; so that only one obtuse angled triangle could be B A formed ; that is , the triangle BC'A will be thè triangle required . And , if the given angle were ...
Página 38
... radius equal to the other given side , describe an arc , cutting CB in B ; draw AB , and CAB will be the triangle re- quired . But if the given angle is acute , and the side opposite to it less than the other given side ; make the angle ...
... radius equal to the other given side , describe an arc , cutting CB in B ; draw AB , and CAB will be the triangle re- quired . But if the given angle is acute , and the side opposite to it less than the other given side ; make the angle ...
Página 43
... radius equal to the side of the other square , de- scribe an arc cutting AD in D : the square described upon AD will be equivalent to the difference of the squares constructed upon AC and CD . For the triangle DAC is right angled ...
... radius equal to the side of the other square , de- scribe an arc cutting AD in D : the square described upon AD will be equivalent to the difference of the squares constructed upon AC and CD . For the triangle DAC is right angled ...
Página 55
... radius of a circle is the straight line drawn from the centre to the circumference . 2. A straight line is said to touch a circle , when it meets the cir- cle , and being produced does not cut it . And that line which has but . one ...
... radius of a circle is the straight line drawn from the centre to the circumference . 2. A straight line is said to touch a circle , when it meets the cir- cle , and being produced does not cut it . And that line which has but . one ...
Página 62
... radius FA . It is obvious , that besides this , no other circumference can pass through the same points ; for the centre , lying in the per- pendicular DF bisecting the chord AB , and at the same time in the perpendicular EF A F 12 ...
... radius FA . It is obvious , that besides this , no other circumference can pass through the same points ; for the centre , lying in the per- pendicular DF bisecting the chord AB , and at the same time in the perpendicular EF A F 12 ...
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