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 32
... distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the ... distance BC , describe ( 3. Post . ) the circle CGH , and from the centre D , at the distance DG , de- scribe the circle ...
... distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the ... distance BC , describe ( 3. Post . ) the circle CGH , and from the centre D , at the distance DG , de- scribe the circle ...
Página 33
... 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 equal to AD ...
... 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 equal to AD ...
Página 35
... distance CD , describe ( 3 . Post . ) the circle EGF meeting AB in F , G and bisect ( Prob . 5. ) FG in H , and join ... distance FD , describe ( 3. Post . ) the cir- cle DKL ; and from the centre D F G K AA B C G , at the distance GH ...
... distance CD , describe ( 3 . Post . ) the circle EGF meeting AB in F , G and bisect ( Prob . 5. ) FG in H , and join ... distance FD , describe ( 3. Post . ) the cir- cle DKL ; and from the centre D F G K AA B C G , at the distance GH ...
Página 36
... distance GH , describe ( 3. Post . ) another circle HLK ; and join KF , KG ; the triangle KFG has its sides equal to the three straight lines , A , B , C. Because the point F is the centre of the circle DKL , FD is equal ( 11 . Def ...
... distance GH , describe ( 3. Post . ) another circle HLK ; and join KF , KG ; the triangle KFG has its sides equal to the three straight lines , A , B , C. Because the point F is the centre of the circle DKL , FD is equal ( 11 . Def ...
Página 38
... distances from the common perpendicular , these triangles would be equal . Secondly . If the given angle be acute , and the side opposite to it greater than the adjacent side , the same mode of construction will apply : for , mak- ing ...
... distances from the common perpendicular , these triangles would be equal . Secondly . If the given angle be acute , and the side opposite to it greater than the adjacent side , the same mode of construction will apply : for , mak- ing ...
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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