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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 5
... centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut ...
... centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut ...
Página 7
... centre , at any distance from that centre . AXIOMS . 1. THINGS which are equal to the same OF GEOMETRY . BOOK I. 7.
... centre , at any distance from that centre . AXIOMS . 1. THINGS which are equal to the same OF GEOMETRY . BOOK I. 7.
Página 32
... centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen- tre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the straight lines ...
... centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen- tre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the straight lines ...
Página 33
... centre A , and at the distance AD , de- scribe ( 3. Post . ) the circle DEF ; and be- cause A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is likewise equal to AD ; whence AE F E B and C are each of them ...
... centre A , and at the distance AD , de- scribe ( 3. Post . ) the circle DEF ; and be- cause A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is likewise equal to AD ; whence AE F E B and C are each of them ...
Página 35
... centre C at the distance CD , describe ( 3 . Post . ) the circle EGF meeting AB in F , G and bisect ( Prob . 5. ) FG ... centre F , at the distance FD , describe ( 3. Post . ) the cir- cle DKL ; and from the centre D F G K AA B C G ...
... centre C at the distance CD , describe ( 3 . Post . ) the circle EGF meeting AB in F , G and bisect ( Prob . 5. ) FG ... centre F , at the distance FD , describe ( 3. Post . ) the cir- cle DKL ; and from the centre D F G K AA B C G ...
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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 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