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 91
Pagina 2
... drawn from a certain point within the figure to the cir- cumference are equal to one another . XII . This point is called the centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and ...
... drawn from a certain point within the figure to the cir- cumference are equal to one another . XII . This point is called the centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and ...
Pagina 3
... drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS ...
... drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS ...
Pagina 4
... draw a straight line equal to a given straight line . K Let A be the given point , and BC the given straight line ; it is required to draw , from the point A , a straight line equal to BC . From the point A to B draw ( Post . 1 ) the ...
... draw a straight line equal to a given straight line . K Let A be the given point , and BC the given straight line ; it is required to draw , from the point A , a straight line equal to BC . From the point A to B draw ( Post . 1 ) the ...
Pagina 5
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw ( I. 2 ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( Post . 3 ) ...
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw ( I. 2 ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( Post . 3 ) ...
Pagina 9
... draw a straight line from the point C at right angles to AB . Take any point D in AC , and ( I. 3 ) and upon DE describe ( I. 1 ) the equi- lateral triangle DFE , and join FC ; the straight line FC , drawn from the given point C , is at ...
... draw a straight line from the point C at right angles to AB . Take any point D in AC , and ( I. 3 ) and upon DE describe ( I. 1 ) the equi- lateral triangle DFE , and join FC ; the straight line FC , drawn from the given point C , is at ...
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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