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 25
Pagina
... 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 .
... 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 79
... mean proportional between the other two . X. When there is any number of magnitudes of the same kind , the first is said to have to the last the ratio compounded of the ratio which the first has to the second , and of the ratio which ...
... mean proportional between the other two . X. When there is any number of magnitudes of the same kind , the first is said to have to the last the ratio compounded of the ratio which the first has to the second , and of the ratio which ...
Pagina 93
... mean ratio , when the whole is to the greater segment as the greater seg- ment is to the less . IV . The altitude of any figure is the straight line drawn from its vertex perpendicular to its base . PROP . I. THEOR . Triangles and ...
... mean ratio , when the whole is to the greater segment as the greater seg- ment is to the less . IV . The altitude of any figure is the straight line drawn from its vertex perpendicular to its base . PROP . I. THEOR . Triangles and ...
Pagina 100
... mean proportional between the segments of the base ; and also , that each of the sides is a mean proportional between the base and its segment adjacent to that side . For , in the triangles BDA , ADC , BD : DA :: DA : DC ( VI . 4 ) ...
... mean proportional between the segments of the base ; and also , that each of the sides is a mean proportional between the base and its segment adjacent to that side . For , in the triangles BDA , ADC , BD : DA :: DA : DC ( VI . 4 ) ...
Pagina 102
... mean proportional between two given straight lines . Let AB , BC be the two given straight lines ; it is required to find a mean proportional between them . Place AB , BC in a straight line , and upon AC describe the semicircle ADC ...
... mean proportional between two given straight lines . Let AB , BC be the two given straight lines ; it is required to find a mean proportional between them . Place AB , BC in a straight line , and upon AC describe the semicircle ADC ...
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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