A collection of elementary test questions in pure and mixed mathematics, with answersMacmillan and Company, 1866 - 404 páginas |
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Página 68
... segments of the two sides of the triangle . 658. If from the angles A and C , of the triangle ABC , per- pendiculars , AD and CE , be let fall upon the opposite sides , prove that DE being joined , the angle CAD is equal to the angle ...
... segments of the two sides of the triangle . 658. If from the angles A and C , of the triangle ABC , per- pendiculars , AD and CE , be let fall upon the opposite sides , prove that DE being joined , the angle CAD is equal to the angle ...
Página 69
... segment formed by joining the extremities of the chords . 661 . Divide geometrically a given straight line into two parts , so that the square described on the greater part shall be double of the square described on the other part . 662 ...
... segment formed by joining the extremities of the chords . 661 . Divide geometrically a given straight line into two parts , so that the square described on the greater part shall be double of the square described on the other part . 662 ...
Página 70
... segment within that circle divided by the circumference of the other into three equal parts . 673. Given the segments of the hypothenuse of a right - angled triangle made by the straight line which bisects the right angle ; determine ...
... segment within that circle divided by the circumference of the other into three equal parts . 673. Given the segments of the hypothenuse of a right - angled triangle made by the straight line which bisects the right angle ; determine ...
Página 71
... segments into which the perpendicular divides that side , being given , find the other segment . 684. The base of a triangle is 25 , the perpendicular let fall upon it from the opposite angle is 12 , and the rectangle contained by the ...
... segments into which the perpendicular divides that side , being given , find the other segment . 684. The base of a triangle is 25 , the perpendicular let fall upon it from the opposite angle is 12 , and the rectangle contained by the ...
Página 74
... segment of a circle whose radius is r , the base of the segment is 2r sin ao . 709. The difference of two arcs of a circle is 20 grades , and their sum is 48 degrees ; find the arcs . 710. Find , geometrically , the values of tan 30 ...
... segment of a circle whose radius is r , the base of the segment is 2r sin ao . 709. The difference of two arcs of a circle is 20 grades , and their sum is 48 degrees ; find the arcs . 710. Find , geometrically , the values of tan 30 ...
Otras ediciones - Ver todas
A Collection of Elementary Test Questions in Pure and Mixed Mathematics With ... James Robert Christie Sin vista previa disponible - 2023 |
A Collection of Elementary Test Questions in Pure and Mixed Mathematics with ... James Robert Christie Sin vista previa disponible - 2018 |
A Collection of Elementary Test Questions in Pure and Mixed Mathematics with ... James Robert Christie Sin vista previa disponible - 2015 |
Términos y frases comunes
altitude angle of 30 angle of elevation ARITHMETIC axis base beam body centre of gravity circle circumference co-ordinates cone curve whose equation cylinder determine diameter DIFFERENTIAL CALCULUS equal feet long feet per second Find the area find the distance Find the equation find the height find the number Find the value force fraction frustum GEOMETRY given point Greenwich Mean horizontal plane Horner's method inches latitude logarithms miles an hour number of courses number of shot observed parabola parallel passing pendulum perpendicular places of decimals plane inclined plane triangle pressure pulley radius ratio rectangular pile right angles roots rope segment sides solid of revolution specific gravity sphere spherical triangle square pile straight line string subtangent supposing surface tangent Taylor's Theorem tion velocity vertex weight yards
Pasajes populares
Página 255 - 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 218 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Página 201 - If two straight lines meeting one another be parallel to two other straight lines which meet one another, but are not in the same plane with the first two; the plane which passes through these is parallel to the plane passing through the others.
Página 263 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Página 226 - ... other two shall contain equal angles. Let the two straight lines AB, BC which meet one another be parallel to the two straight lines DE, EF that meet one another, and are not in IJie same plane with AB, BC.
Página 68 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Página 226 - If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or these produced, proportionally : and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle.
Página 270 - THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the.
Página 278 - If a straight line stand at right angles to each of two straight lines at the point of their intersection, it shall also be at right angles to the plane which passes through them, that is, to the plane in which they are.