The Teacher's Assistant in the "Course of Mathematics Adapted to the Method of Instruction in the American CollegesDurrie & Peck, 1836 - 472 páginas |
Dentro del libro
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Página 312
... find the lateral surface of a regular pyramid . Example 1. To find the line from the center to one side . By Art . 16 , Rside :: cotang . Perpen .; that is , 1 : MENSURATION OF SOLIDS . 4 : cot 30 ° Perpen 312 MENSURATION OF SOLIDS .
... find the lateral surface of a regular pyramid . Example 1. To find the line from the center to one side . By Art . 16 , Rside :: cotang . Perpen .; that is , 1 : MENSURATION OF SOLIDS . 4 : cot 30 ° Perpen 312 MENSURATION OF SOLIDS .
Página 313
... cotang . One side Example 2. As in the last example . R Perpen . , that is , 1 : 10.39 :: cot 60 ° Perpen . subtends an angle of 120 ° , and this 60 ° . By the tables , 10.0000000 : 1.0166155 :: 9.7614394 ; 0.7780549 , which added to ...
... cotang . One side Example 2. As in the last example . R Perpen . , that is , 1 : 10.39 :: cot 60 ° Perpen . subtends an angle of 120 ° , and this 60 ° . By the tables , 10.0000000 : 1.0166155 :: 9.7614394 ; 0.7780549 , which added to ...
Página 34
... Co - sine . 90 ° Dif . Infinite . 3010300 17609121 1249387 9691007 791811 ... tang . Dif . 9.9999503 8 11.8119636 10.0000516 9.9999484 7 11.8038444 ... Co - secant . Sine . 89 ° Sine . 0 8.8435545 1 8.8453974 2 8.8471827 3 8.8489707 0 ...
... Co - sine . 90 ° Dif . Infinite . 3010300 17609121 1249387 9691007 791811 ... tang . Dif . 9.9999503 8 11.8119636 10.0000516 9.9999484 7 11.8038444 ... Co - secant . Sine . 89 ° Sine . 0 8.8435545 1 8.8453974 2 8.8471827 3 8.8489707 0 ...
Página 35
Sine . O 8.2418553 Dif . Co - secant . Tangent . Dif . Co tangent . Secant . D. Co - sine . 11.7581447 8.2419215 ... tang . Dif . Tangent . Co - secant . D. Sine . 24 25 25 25 25 26 27 26 27 28 27 28 29 29 29 30 30 30 31 31 31 32 32 33 ...
Sine . O 8.2418553 Dif . Co - secant . Tangent . Dif . Co tangent . Secant . D. Co - sine . 11.7581447 8.2419215 ... tang . Dif . Tangent . Co - secant . D. Sine . 24 25 25 25 25 26 27 26 27 28 27 28 29 29 29 30 30 30 31 31 31 32 32 33 ...
Página 36
... Co - tang . 36071 35774 ! 35483 35196 34914 34636 34363 34093 33829 33569 33311 33059 32809 32564 32323 32085 31850 31619 31391 31166 30946 30727 30511 30300 30091 29884 29681 29480 29282 29086 28894 28703 28516 28331 28147 27968 27789 ...
... Co - tang . 36071 35774 ! 35483 35196 34914 34636 34363 34093 33829 33569 33311 33059 32809 32564 32323 32085 31850 31619 31391 31166 30946 30727 30511 30300 30091 29884 29681 29480 29282 29086 28894 28703 28516 28331 28147 27968 27789 ...
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Términos y frases comunes
added answer arithmetical base body Changing signs circle circumference Clearing of fractions co-efficients Co-secant Co-sine Co-tangent Completing the square cot a cot Course Cube Roots denominator diameter Diff difference of latitude Dist distance Dividing divisor equal equation Euclid Extracting the square extremes and means feet find the angle find the area find the solidity frustum geometrical geometrical progression geometrical series given greater Hence hight hypothenuse inches less Let x=the logarithm magnitude Merid miles Multiplying extremes natural number belonging parallelogram parallelopiped perpendicular plane sailing polygon PROBLEM proportion quotient radius ratio rectangle contained Reduce right angles rods Secant sector segment Sine square root straight line Substi Substituting a's Substituting numbers Substituting y's value subtracted surface tables Tangent Theorem Transposing and uniting Trig velocity
Pasajes populares
Página 36 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Página 49 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 42 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles...
Página 39 - IF a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Página 38 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Página 37 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Página 38 - Prove it. 6.If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced together with the -square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Página 42 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Página 35 - Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another.
Página 33 - Then divide the first term of the remainder by the first term of the divisor...