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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |
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Resultat 6-10 av 49
Side 82
... segments of circles upon the equal straight lines AB , CD ; the segment AEB is equal to the segment CFD . For , if the segment AEB be applied to the segment CFD , so as the point A be on C , and E F the straight line AB upon CD , the ...
... segments of circles upon the equal straight lines AB , CD ; the segment AEB is equal to the segment CFD . For , if the segment AEB be applied to the segment CFD , so as the point A be on C , and E F the straight line AB upon CD , the ...
Side 83
... segment of a circle being given , the circle is described of which it is à segment . Which was to be done . PROP . XXVI . THEOR . In equal circles , equal angles stand upon equal arches , whether they be at the centres or circumferences ...
... segment of a circle being given , the circle is described of which it is à segment . Which was to be done . PROP . XXVI . THEOR . In equal circles , equal angles stand upon equal arches , whether they be at the centres or circumferences ...
Side 84
... segment BAC is similar ( 9. def . 3. ) to the segment EDF ; and they are upon equal straight lines BC , EF ; but similar segments of circles upon equal straight lines are equal ( 24. 3. ) to one another , therefore the segment BAC is ...
... segment BAC is similar ( 9. def . 3. ) to the segment EDF ; and they are upon equal straight lines BC , EF ; but similar segments of circles upon equal straight lines are equal ( 24. 3. ) to one another , therefore the segment BAC is ...
Side 86
... segments ABC , ADC , and join BB , AD , DC ; the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC , which is greater than a semicir- cle , is less than a right angle ; and the angle in the segment ADC ...
... segments ABC , ADC , and join BB , AD , DC ; the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC , which is greater than a semicir- cle , is less than a right angle ; and the angle in the segment ADC ...
Side 87
... segments of the circle : that is , the angle FBD is equal to the angle which is in the segment DAB , and the an- gle DBE to the angle in the segment BCD . : D From the point B draw ( 11. 1. ) BA at right angles to EF , and take any ...
... segments of the circle : that is , the angle FBD is equal to the angle which is in the segment DAB , and the an- gle DBE to the angle in the segment BCD . : D From the point B draw ( 11. 1. ) BA at right angles to EF , and take any ...
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Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore