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 TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 54
Pagina
... the character of the demonstration remains un- changed . By this means the steps of the argument are brought near to one another , and the force of the whole is so clearly and distinctly perceived , that no more difficulty Allardice .
... the character of the demonstration remains un- changed . By this means the steps of the argument are brought near to one another , and the force of the whole is so clearly and distinctly perceived , that no more difficulty Allardice .
Pagina
... whole work is now so well known and appreciated , that a detailed explanatory preface is altogether superfluous . PHILIP KELLAND . COLLEGE OF EDINBURGH , June 1 , 1859 . ELEMENTS OF GEOMETRY . BOOK FIRST . DEFINITIONS . I. iv PREFACE .
... whole work is now so well known and appreciated , that a detailed explanatory preface is altogether superfluous . PHILIP KELLAND . COLLEGE OF EDINBURGH , June 1 , 1859 . ELEMENTS OF GEOMETRY . BOOK FIRST . DEFINITIONS . I. iv PREFACE .
Pagina 4
... 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 ...
Pagina 6
... whole AF is equal to the whole ' D AG , and the part AB to the part AC ; the remainder BF is equal ( Ax . 3 ) to the remainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB ...
... whole AF is equal to the whole ' D AG , and the part AB to the part AC ; the remainder BF is equal ( Ax . 3 ) to the remainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB ...
Pagina 21
... whole exterior angle ACD is equal to the two inte- rior 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 angles ACD , ACB are equal ( I. 13 ) ...
... whole exterior angle ACD is equal to the two inte- rior 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 angles ACD , ACB are equal ( I. 13 ) ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore