The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtEvert Duyckinck, 1814 - 508 σελίδες |
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Σελίδα 43
... triangles , in all which any side may be called the base , and the other two the sides . 40. The perpendicular height of a triangle is a line drawn from the vertex to the base perpen- dicularly thus if the triangle ABC , be propos- ed ...
... triangles , in all which any side may be called the base , and the other two the sides . 40. The perpendicular height of a triangle is a line drawn from the vertex to the base perpen- dicularly thus if the triangle ABC , be propos- ed ...
Σελίδα 49
... triangle ABC , one of its legs , as BC , being produced towards D , it will make the external angle ACD equal to the two internal opposite angles taken together . Viz . to B and A. Through C , let CE be drawn parallel to AB ; then since ...
... triangle ABC , one of its legs , as BC , being produced towards D , it will make the external angle ACD equal to the two internal opposite angles taken together . Viz . to B and A. Through C , let CE be drawn parallel to AB ; then since ...
Σελίδα 50
... triangle ABC be supposed to be laid on the triangle DEF , so as to make the points A and B coincide with D and E , which they will do , because AB DE ( by the hypothesis ) ; and since the angle A = D , the line AC will fall along DF ...
... triangle ABC be supposed to be laid on the triangle DEF , so as to make the points A and B coincide with D and E , which they will do , because AB DE ( by the hypothesis ) ; and since the angle A = D , the line AC will fall along DF ...
Σελίδα 51
... triangles a c d , dc b , by making the angle a c d = de b ( by postulate 4. ) then because a c = b c , and cd common , ( by the last ) the triangle a d c d e b ; and therefore the angle a = b . Q. E. D. Cor . Hence if from any point in ...
... triangles a c d , dc b , by making the angle a c d = de b ( by postulate 4. ) then because a c = b c , and cd common , ( by the last ) the triangle a d c d e b ; and therefore the angle a = b . Q. E. D. Cor . Hence if from any point in ...
Σελίδα 52
... triangles ADC , BDC are right angled ones , since the line CD is a perpendicular ; and so the angle ACD = DCB ; ( by cor . 2. theo . 5. ) then have we AC , CD , and the angle ACD in one tri- angle ; severally equal to CB , CD , and the ...
... triangles ADC , BDC are right angled ones , since the line CD is a perpendicular ; and so the angle ACD = DCB ; ( by cor . 2. theo . 5. ) then have we AC , CD , and the angle ACD in one tri- angle ; severally equal to CB , CD , and the ...
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