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 77
Pagina
... Third Book treats of Solids , and exhibits , in a simple form , the most important propositions of the Twelfth Book of Euclid . The treatise on Plane Trigonometry has , in the present edition , been increased by an additional section ...
... Third Book treats of Solids , and exhibits , in a simple form , the most important propositions of the Twelfth Book of Euclid . The treatise on Plane Trigonometry has , in the present edition , been increased by an additional section ...
Pagina 5
... third sides are equal ; and the areas of the triangles are equal ; and their other angles are equal , each to each , viz . , those to which the equal sides are opposite * Let ABC , DEF , be two triangles which have the two sides t AB ...
... third sides are equal ; and the areas of the triangles are equal ; and their other angles are equal , each to each , viz . , those to which the equal sides are opposite * Let ABC , DEF , be two triangles which have the two sides t AB ...
Pagina 13
... third side . Let ABC be a triangle ; any two sides of it taken together are greater than the third side , viz . , the sides BA , AC greater than the side BC ; and AB , BC greater than FIRST BOOK . 13.
... third side . Let ABC be a triangle ; any two sides of it taken together are greater than the third side , viz . , the sides BA , AC greater than the side BC ; and AB , BC greater than FIRST BOOK . 13.
Pagina 14
... third side , the two sides BA , AE of the triangle ABE are greater than BE . To each of these add EC ; therefore , the sides BA , AC are greater than BE , EC : again , because the two sides CE , ED of the triangle CED are greater than ...
... third side , the two sides BA , AE of the triangle ABE are greater than BE . To each of these add EC ; therefore , the sides BA , AC are greater than BE , EC : again , because the two sides CE , ED of the triangle CED are greater than ...
Pagina 15
... third ( I. 20 ) . * Let A , B , C be three given straight lines , of which any two whatever are greater than the third , viz . , A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of ...
... third ( I. 20 ) . * Let A , B , C be three given straight lines , of which any two whatever are greater than the third , viz . , A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of ...
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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