The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
... drawn from a certain point within the figure to the circumference , are equal to one another . XVI . And this point is called the centre of the circle . XVII . 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 . XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and ...
Page 6
... 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 ...
Page 9
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw * the E B * 2.1 . straight line AD equal to C ; and from the centre A , and at the distance AD , describe the ...
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw * the E B * 2.1 . straight line AD equal to C ; and from the centre A , and at the distance AD , describe the ...
Page 16
... draw a straight line from the point C at right angles to AB . Take any point D in AC , and make * CE equal to CD , and upon DE describe the equilateral triangle DFE , and join FC . The straight line FC drawn from the given point C shall ...
... draw a straight line from the point C at right angles to AB . Take any point D in AC , and make * CE equal to CD , and upon DE describe the equilateral triangle DFE , and join FC . The straight line FC drawn from the given point C shall ...
Page 17
... drawn at right angles to AB . Which was to be done . COR . - By help of this problem , it may be demonstrated , that ... draw + BE at +11 . 1- right angles to AB ; and because ABC is a straight line , the angle CBE is * equal to the ...
... drawn at right angles to AB . Which was to be done . COR . - By help of this problem , it may be demonstrated , that ... draw + BE at +11 . 1- right angles to AB ; and because ABC is a straight line , the angle CBE is * equal to the ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole