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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Side vi
... whole is so clearly and directly perceived , that I am persuaded no more dif- ficulty will be found in understanding the proposi- tions of the fifth Book , than those of any other of the Elements . In the Second Book , also , some ...
... whole is so clearly and directly perceived , that I am persuaded no more dif- ficulty will be found in understanding the proposi- tions of the fifth Book , than those of any other of the Elements . In the Second Book , also , some ...
Side x
... whole of the Elements , viz . That in the demonstration of a theorem , he never supposes any thing to be done , as any line to be drawn , or any figure to be constructed , the manner of doing which he has not previously ex- plained ...
... whole of the Elements , viz . That in the demonstration of a theorem , he never supposes any thing to be done , as any line to be drawn , or any figure to be constructed , the manner of doing which he has not previously ex- plained ...
Side 21
... whole is greater than its part . X. All right angles are equal to one another . XI . " Two straight lines which intersect one another , cannot be both " parallel to the same straight line . " PROPOSITION I. PROBLEM . To describe an ...
... whole is greater than its part . X. All right angles are equal to one another . XI . " Two straight lines which intersect one another , cannot be both " parallel to the same straight line . " PROPOSITION I. PROBLEM . To describe an ...
Side 24
... whole triangle DEF , so that the spaces which they contain or their areas are equal and the remaining angles of the ... whole AF is equal to the whole AG , and the part AB to the part AC ; the remain- der BF shall be equal ( 3. Ax . ) to ...
... whole triangle DEF , so that the spaces which they contain or their areas are equal and the remaining angles of the ... whole AF is equal to the whole AG , and the part AB to the part AC ; the remain- der BF shall be equal ( 3. Ax . ) to ...
Side 25
... whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved ...
... whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved ...
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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