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 67
Pagina 4
... 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 equilateral triangle upon a given finite straight line ...
... 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 equilateral triangle upon a given finite straight line ...
Pagina 5
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given straight lines to cut ...
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given straight lines to cut ...
Pagina 8
... a side of the other needs no demonstration . Therefore , upon the same base , and on the same side of it , there cannot be ... line BC upon EF ; the point C must also coincide with the point F , because ... a given 8 ELEMENTS OF GEOMETRY .
... a side of the other needs no demonstration . Therefore , upon the same base , and on the same side of it , there cannot be ... line BC upon EF ; the point C must also coincide with the point F , because ... a given 8 ELEMENTS OF GEOMETRY .
Pagina 9
... given rectilineal angle ; that is , to divide it into two equal angles . Let ... straight line AF bisects the angle BAC . Because AD is equal to AE , and AF ... given rectilineal angle BAC is bisected by the straight B line AF . Which was ...
... given rectilineal angle ; that is , to divide it into two equal angles . Let ... straight line AF bisects the angle BAC . Because AD is equal to AE , and AF ... given rectilineal angle BAC is bisected by the straight B line AF . Which was ...
Pagina 10
... line makes with another straight line are equal to one another , each of them is called a right ( Def . 7 ) angle ; therefore each of the angles DCF , ECF is a right angle . Wherefore , from the given point C , in the given straight ...
... line makes with another straight line are equal to one another , each of them is called a right ( Def . 7 ) angle ; therefore each of the angles DCF , ECF is a right angle . Wherefore , from the given point C , in the given straight ...
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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