Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
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Seite 19
... drawn from a certain point within the figure to the circumference , are equal to one another . XII . And 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 circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and ...
Seite 24
... draw the c 11. Defi nition . d 1. Axi- om , a 1. Post b l . 1 . b straight lines CA , CB to the points A , B ; ABC ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it ...
... draw the c 11. Defi nition . d 1. Axi- om , a 1. Post b l . 1 . b straight lines CA , CB to the points A , B ; ABC ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it ...
Seite 25
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw a the straight line AD equal to C ; and from the centre A , and at the dis- tance AD , describe A E a 2. 1 ...
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw a the straight line AD equal to C ; and from the centre A , and at the dis- tance AD , describe A E a 2. 1 ...
Seite 32
... draw a straight line from the point C at right angles to AB . F Take any point D in AC , and a make CE equal to CD , and upon DE de- scribe a the equilateral triangle DFE , and join FC ; the straight line FC , drawn from the gi- ven ...
... draw a straight line from the point C at right angles to AB . F Take any point D in AC , and a make CE equal to CD , and upon DE de- scribe a the equilateral triangle DFE , and join FC ; the straight line FC , drawn from the gi- ven ...
Seite 33
... drawn from the given point C , is perpendicular to the given straight line AB . d C Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; but the ...
... drawn from the given point C , is perpendicular to the given straight line AB . d C Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; but the ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC arch AC base BC bisected Book centre circle ABC circumference cosine cylinder definition demonstrated described diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles GEOMETRY given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram perpendicular polygon prism PROB 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 parallelepipeds spherical angle spherical triangle SPHERICAL TRIGONOMETRY straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore