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 |
Inni boken
Resultat 1-5 av 53
Side vi
... taken in their utmost generality , and when no assistance can be received from diagrams . As it is plain , that the concise lan- guage of Algebra is directly calculated to remedy this inconvenience , I have endeavoured to introduce it ...
... taken in their utmost generality , and when no assistance can be received from diagrams . As it is plain , that the concise lan- guage of Algebra is directly calculated to remedy this inconvenience , I have endeavoured to introduce it ...
Side 17
... taken , the straight line between them lies wholly in that superficies . VI . A plane rectilineal angle is the inclination of two stright lines to one another , which meet together , but are not in the same straight line . * The ...
... taken , the straight line between them lies wholly in that superficies . VI . A plane rectilineal angle is the inclination of two stright lines to one another , which meet together , but are not in the same straight line . * The ...
Side 21
... taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal V If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing , are equal to ...
... taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal V If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing , are equal to ...
Side 53
... taken away " from the former . " " 6 " The sign signifies , that the things between which it is placed " are equal to one another . " II . A E In every parallelogram , any of the parallelograms about a di- ameter , together with the two ...
... taken away " from the former . " " 6 " The sign signifies , that the things between which it is placed " are equal to one another . " II . A E In every parallelogram , any of the parallelograms about a di- ameter , together with the two ...
Side 68
... taken in the circumference of a circle , the straight line which joins them shall fal within the circle . Let ABC be a circle , and A , B any two points in the circumfer- ence the straight line drawn from A to B shall fall within the ...
... taken in the circumference of a circle , the straight line which joins them shall fal within the circle . Let ABC be a circle , and A , B any two points in the circumfer- ence the straight line drawn from A to B shall fall within the ...
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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