Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1866 - 317 Seiten |
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Seite 12
... 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 an- other , draw the straight lines ( 1 . Post . ) CA , CB to the points A , B ; ABC is an ...
... 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 an- other , draw the straight lines ( 1 . Post . ) CA , CB to the points A , B ; ABC is an ...
Seite 13
... circle DEF ; and because A. is the centre of the circle DEF , AE is equal to ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ... ABC to the triangle DEF ; and the other an- gles , to which the equal ...
... circle DEF ; and because A. is the centre of the circle DEF , AE is equal to ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ... ABC to the triangle DEF ; and the other an- gles , to which the equal ...
Seite 24
... circle DKL , and from the centre G , at the distance GH , describe ( 3. Post . ) another circle HLK ; and join KF ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two DE , DF each to each , viz . AB equal to ...
... circle DKL , and from the centre G , at the distance GH , describe ( 3. Post . ) another circle HLK ; and join KF ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two DE , DF each to each , viz . AB equal to ...
Seite 62
... circle is said to circumscribe such a figure . 7. And an angle is said to insist or stand upon the arc intercepted ... ABC be the given circle ; it is required to find its centre . Draw within it any straight line AB , and bisect ( 10. 1 ...
... circle is said to circumscribe such a figure . 7. And an angle is said to insist or stand upon the arc intercepted ... ABC be the given circle ; it is required to find its centre . Draw within it any straight line AB , and bisect ( 10. 1 ...
Seite 63
... circle ABC : In the same manner it can be shown that no other point but F is the centre : that is F is the centre of the circle ABC . COR . From this it is manifest that if in a circle a straight line bisect another at right angles ...
... circle ABC : In the same manner it can be shown that no other point but F is the centre : that is F is the centre of the circle ABC . COR . From this it is manifest that if in a circle a straight line bisect another at right angles ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore