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 36
... centre of the circle DKL , FD is equal ( 11 . Def . ) to FK ; but FD is equal to the straight line A ; therefore FK is equal to A : Again , because G is the centre of the circle LKH , GH is equal ( 11. Def . ) to GK ; but GH is equal to ...
... centre of the circle DKL , FD is equal ( 11 . Def . ) to FK ; but FD is equal to the straight line A ; therefore FK is equal to A : Again , because G is the centre of the circle LKH , GH is equal ( 11. Def . ) to GK ; but GH is equal to ...
Página 37
... centre , with a 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 ...
... centre , with a 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 ...
Página 43
... centre , with a 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 ...
... centre , with a 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 ...
Página 55
... centre of a circle , when the perpendiculars drawn to them from the centre are equal . 5. And the straight line on which the greater pe pendicular falls , is said to be farther from the centre . 6. Any portion of the circumference is ...
... centre of a circle , when the perpendiculars drawn to them from the centre are equal . 5. And the straight line on which the greater pe pendicular falls , is said to be farther from the centre . 6. Any portion of the circumference is ...
Página 56
... centre . The angles at the circumference and centre , are both said to be subtended by the chords or arcs which their sides include . 11. The sector of a circle is the figure contained by two straight lines drawn from the centre , and ...
... centre . The angles at the circumference and centre , are both said to be subtended by the chords or arcs which their sides include . 11. The sector of a circle is the figure contained by two straight lines drawn from the centre , and ...
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