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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |
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Side 17
... lines are such that they cannot coincide in any two points , " without coinciding altogether , each of them is called a straight " line . " " COR . Hence two straight lines cannot inclose a space . Neither can " two straight lines have a ...
... lines are such that they cannot coincide in any two points , " without coinciding altogether , each of them is called a straight " line . " " COR . Hence two straight lines cannot inclose a space . Neither can " two straight lines have a ...
Side 18
... straight lines that ' contain the angle meet one another , is put between the other two letters , and one of these two is somewhere upon one of those straight lines , and the other upon the other line : Thus the angle which is contained ...
... straight lines that ' contain the angle meet one another , is put between the other two letters , and one of these two is somewhere upon one of those straight lines , and the other upon the other line : Thus the angle which is contained ...
Side 19
... line , which is called the circumference , and is such that all straight lines drawn from a cer- tain point within ... straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the ...
... line , which is called the circumference , and is such that all straight lines drawn from a cer- tain point within ... straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the ...
Side 21
... a straight line may be 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 ...
... a straight line may be 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 ...
Side 22
... a given finite straight line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B ...
... a given finite straight line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B ...
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Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals 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 straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore