The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesA. S. Barnes, 1839 - 412 páginas |
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Página 44
... base , and the other two the sides . 40. The perpendicular height of a triangle is a line drawn from the vertex to the base perpendicularly : thus if the triangle ABC be proposed , and BC be made its base , then if from the vertex A 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 perpendicularly : thus if the triangle ABC be proposed , and BC be made its base , then if from the vertex A the ...
Página 48
... base of the one BC will be equal to EF , that of the other . If the 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 ...
... base of the one BC will be equal to EF , that of the other . If the 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 ...
Página 51
... base AB , and between the same parallels with the parallelogram ABCD , is half the parallelogram . Cor . 3. It is hence also plain that the opposite sides of a parallelogram are equal ; for it has been proved that , ABCD being a ...
... base AB , and between the same parallels with the parallelogram ABCD , is half the parallelogram . Cor . 3. It is hence also plain that the opposite sides of a parallelogram are equal ; for it has been proved that , ABCD being a ...
Página 52
... bases and between the same par- allels are equal to one another ; that is , if BD = GH , and the lines BH and AF are ... base and perpendicular will be the hypothenuse . For different demonstrations of this excellent theorem , the reader ...
... bases and between the same par- allels are equal to one another ; that is , if BD = GH , and the lines BH and AF are ... base and perpendicular will be the hypothenuse . For different demonstrations of this excellent theorem , the reader ...
Página 54
... bases were divided ; therefore it will be , as the sum of the parts in one base is to the sum of those in the other , so will be the sum of the small triangles in the first to the sum of the small triangles in the second triangle ; that ...
... bases were divided ; therefore it will be , as the sum of the parts in one base is to the sum of those in the other , so will be the sum of the small triangles in the first to the sum of the small triangles in the second triangle ; that ...
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Términos y frases comunes
ABCD acres altitude arch base bearing blank line centre chains and links circle circumferentor column compasses contained Cosine Sine cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance multiplied needle nonius number of degrees object observed opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal screw secant sect sector semicircle side Sine Cotang square root station stationary distance subtract suppose survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 49 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 41 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 45 - A lemma is something which is premised, or demonstrated, in order to render what follows more easy. A corollary is a consequent truth derived immediately from some preceding truth or demonstration.
Página 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Página 21 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.