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 TrigonometryW.E. Dean, 1839 - 318 sider |
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Side ix
... third Book , the remarks con- cerning the angles made by a straight line , and the circumference of a circle , are left out , as tending to perplex one who has advanc- ed no farther than the elements of the science . The 27th , 28th ...
... third Book , the remarks con- cerning the angles made by a straight line , and the circumference of a circle , are left out , as tending to perplex one who has advanc- ed no farther than the elements of the science . The 27th , 28th ...
Side x
... third Book , I have departed from EUCLID altogether , with a view of rendering it both shorter and more comprehensive . This , however , is not attempted by introducing a mode of reasoning less rigorous than that PREFACE .
... third Book , I have departed from EUCLID altogether , with a view of rendering it both shorter and more comprehensive . This , however , is not attempted by introducing a mode of reasoning less rigorous than that PREFACE .
Side xv
... third ; it may be replied , that this is no doubt a truth which , with- out proof , most men will be inclined to admit ; but are we for that reason to account it of no consequence to know what the propo sitions are , which must cease to ...
... third ; it may be replied , that this is no doubt a truth which , with- out proof , most men will be inclined to admit ; but are we for that reason to account it of no consequence to know what the propo sitions are , which must cease to ...
Side 23
... third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite . * Let ABC , DEF be two triangles which have the ...
... third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite . * Let ABC , DEF be two triangles which have the ...
Side 33
... third side . Let ABC be a triangle ; any two sides of it together are greater than the third side , viz . the sides BA , AC greater than the side BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to the point D ...
... third side . Let ABC be a triangle ; any two sides of it together are greater than the third side , viz . the sides BA , AC greater than the side BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to the point D ...
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore