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
Resultados 1-5 de 23
Página 11
... space would a body describe in a given time if it should move on uniformly after having acquired a given velocity , compared with the space through which it has fallen ? What is the space described in any time , by a body projected ...
... space would a body describe in a given time if it should move on uniformly after having acquired a given velocity , compared with the space through which it has fallen ? What is the space described in any time , by a body projected ...
Página 15
equilibrio ? In the wheel and axle , whilst the power descends through a space equal to the circumference of the wheel , what space does the weight descend through ? In what kind of pulley does the power and weight move through equal spaces ...
equilibrio ? In the wheel and axle , whilst the power descends through a space equal to the circumference of the wheel , what space does the weight descend through ? In what kind of pulley does the power and weight move through equal spaces ...
Página 34
... space . Neither can two 11 . straight lines have a common segment ; that is , they cannot coincide in part without coinciding altogether . 4. A super- ficies is that which has only length and breadth . Cor . The extremities of a ...
... space . Neither can two 11 . straight lines have a common segment ; that is , they cannot coincide in part without coinciding altogether . 4. A super- ficies is that which has only length and breadth . Cor . The extremities of a ...
Página 35
... space , are equal to one another . 9. The whole is greater than its part . 10. All right angles are equal to one another . 11. " Two straight lines which in- tersect one another , cannot be both parallel to the same straight line ...
... space , are equal to one another . 9. The whole is greater than its part . 10. All right angles are equal to one another . 11. " Two straight lines which in- tersect one another , cannot be both parallel to the same straight line ...
Página 52
... space contained within it . : AXIOM . The least line that can be drawn between two points , is a straight line and if two figures have the same straight line for their base , that which is contained within the other , if its bounding ...
... space contained within it . : AXIOM . The least line that can be drawn between two points , is a straight line and if two figures have the same straight line for their base , that which is contained within the other , if its bounding ...
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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...