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 TrigonometryW.E. Dean, 1839 - 318 sider |
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Side viii
... whole is so clearly and directly perceived , that I am persuaded no more difficulty will be found in understanding the propositions of the fifth Book , than those of any other of the Ele- ments . In the second Book , also , some ...
... whole is so clearly and directly perceived , that I am persuaded no more difficulty will be found in understanding the propositions of the fifth Book , than those of any other of the Ele- ments . In the second Book , also , some ...
Side xi
... 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 explained . Now ...
... 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 explained . Now ...
Side 21
... whole is greater than its part . X. XI . All right angles are equal to one another . " 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. XI . All right angles are equal to one another . " 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 ... whole AF is equal to the whole AG , and the part AB to the part AC ; the remainder BF shall be D / equal ( 3. Ax . ) to ...
... whole triangle DEF , so that the spaces which they contain or their areas are equal : and the remaining angles of ... whole AF is equal to the whole AG , and the part AB to the part AC ; the remainder BF shall be D / equal ( 3. Ax . ) to ...
Side 42
... whole ex- terior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these angles add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the an- gles ACD , ACB are equal ...
... whole ex- terior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these angles add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the an- gles ACD , ACB are equal ...
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore