Elements of Geometry |
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Page 2
... triangle is that which has one right angle . The side opposite to the right angle is called the hypothenuse . Fig . 10. Thus ABC ( fig . 10 ) is a triangle right - angled at A , and the side BC is the hypothenuse . Fig . 11 . Fig . 12 ...
... triangle is that which has one right angle . The side opposite to the right angle is called the hypothenuse . Fig . 10. Thus ABC ( fig . 10 ) is a triangle right - angled at A , and the side BC is the hypothenuse . Fig . 11 . Fig . 12 ...
Page 7
... triangle DEF is equal to the triangle ABC ( 26 ) . 37. Corollary . When , in two triangles , these three things are equal , namely , the angle AD , the side AB DE , and the = side AC = DF , we may thence infer , that the other three are ...
... triangle DEF is equal to the triangle ABC ( 26 ) . 37. Corollary . When , in two triangles , these three things are equal , namely , the angle AD , the side AB DE , and the = side AC = DF , we may thence infer , that the other three are ...
Page 8
... triangle ABC , there be drawn straight lines OB , OC , to the extremities of BC , one of its sides , the sum of these lines will be less than that of AB , AC , the two other sides . Demonstration . Let BO be produced till it meet the ...
... triangle ABC , there be drawn straight lines OB , OC , to the extremities of BC , one of its sides , the sum of these lines will be less than that of AB , AC , the two other sides . Demonstration . Let BO be produced till it meet the ...
Page 10
... triangle to the middle of the base , is perpendicular to that base , and divides the vertical angle into two equal ... ABC ACB ( fig . 29 ) , the side AC will be equal to the side AB . For , if these sides are not equal , let AB be the ...
... triangle to the middle of the base , is perpendicular to that base , and divides the vertical angle into two equal ... ABC ACB ( fig . 29 ) , the side AC will be equal to the side AB . For , if these sides are not equal , let AB be the ...
Page 11
... triangle CBF is equal to the triangle ABC . For the angle CBF is a right angle ( 29 ) , as well as CBA , and the side BF BA ; therefore the triangles are equal ( 36 ) , and the angle BCF - BCA . But BCA is , by hypothesis , a right ...
... triangle CBF is equal to the triangle ABC . For the angle CBF is a right angle ( 29 ) , as well as CBA , and the side BF BA ; therefore the triangles are equal ( 36 ) , and the angle BCF - BCA . But BCA is , by hypothesis , a right ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence
Bibliographic information
| Title | Elements of Geometry |
| Author | Adrien Marie Legendre |
| Translated by | John Farrar |
| Publisher | Hilliard, Gray, and Company, 1833 |
| Original from | University of Chicago |
| Digitized | 11 Apr 2012 |
| Length | 235 pages |
| Export Citation | BiBTeX EndNote RefMan |