Plane and Solid GeometryGinn, 1904 - 473 σελίδες |
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Σελίδα 153
... inches and 5 feet 6 inches , respectively . If the homologous base of a similar triangle is 5 feet 6 inches , find its homologous altitude . PROPOSITION XXII . THEOREM . 362. If two parallels are SIMILAR POLYGONS . 153.
... inches and 5 feet 6 inches , respectively . If the homologous base of a similar triangle is 5 feet 6 inches , find its homologous altitude . PROPOSITION XXII . THEOREM . 362. If two parallels are SIMILAR POLYGONS . 153.
Σελίδα 172
... m n p Q. E. F. Ex . 286. Divide a line 12 inches long into three parts proportional to the numbers 3 , 5 , 7 . PROPOSITION XXXVII . PROBLEM . 386. To find the fourth 172 BOOK III . PLANE GEOMETRY . PROBLEMS OF CONSTRUCTION.
... m n p Q. E. F. Ex . 286. Divide a line 12 inches long into three parts proportional to the numbers 3 , 5 , 7 . PROPOSITION XXXVII . PROBLEM . 386. To find the fourth 172 BOOK III . PLANE GEOMETRY . PROBLEMS OF CONSTRUCTION.
Σελίδα 181
... inches and 12 inches ; find the lengths of the projections of these legs upon the hypotenuse , and the distance of the vertex of the right angle from the hypotenuse . Ex . 320. If the sides of a triangle are 6 inches , 9 inches , and 12 ...
... inches and 12 inches ; find the lengths of the projections of these legs upon the hypotenuse , and the distance of the vertex of the right angle from the hypotenuse . Ex . 320. If the sides of a triangle are 6 inches , 9 inches , and 12 ...
Σελίδα 182
... inches , find DE . Ex . 322. The sides of a triangle are 9 , 12 , 15. Find the segments of the sides made by ... inches from the centre of a circle whose radius is 10 inches . Ex . 331. The distance from the centre of a circle to a chord ...
... inches , find DE . Ex . 322. The sides of a triangle are 9 , 12 , 15. Find the segments of the sides made by ... inches from the centre of a circle whose radius is 10 inches . Ex . 331. The distance from the centre of a circle to a chord ...
Σελίδα 183
... inches long a secant is drawn through the centre of the circle . If the external segment of this secant is 8 inches , find the radius of the circle . Ex . 337. The radius of a circle is 13 inches . Through a point 5 inches from the ...
... inches long a secant is drawn through the centre of the circle . If the external segment of this secant is 8 inches , find the radius of the circle . Ex . 337. The radius of a circle is 13 inches . Through a point 5 inches from the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCDE AC² altitude apothem axis bisector bisects called centre chord circumference circumscribed coincide common construct curve denote diagonals diameter dihedral angles distance divided draw ellipse equidistant equilateral triangle equivalent face angles feet Find the area Find the locus frustum given circle given line given point given straight line given triangle greater Hence homologous homologous sides hypotenuse inches intersection lateral area lateral edges length limit middle point number of sides parallel planes parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle polyhedron prism prismatoid Proof prove Q. E. D. PROPOSITION radii radius ratio rectangle regular polygon regular pyramid respectively right angle right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangular prism trihedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 44 - If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 276 - If two planes are perpendicular to each other, a straight line drawn in one of them perpendicular to their intersection is perpendicular to the other plane.
Σελίδα 52 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 43 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Σελίδα 193 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. To prove that Proof. A Let the triangles ABC and ADE have the common angle A. A ABC -AB X AC Now and A ADE AD X AE Draw BE.
Σελίδα 362 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 171 - In any triangle the product of two sides is equal to the product of the diameter of the circumscribed circle by the altitude upon the third side.
Σελίδα 73 - The sum of the perpendiculars dropped from any point within an equilateral triangle to the three sides is constant, and equal to the altitude.
Σελίδα 385 - Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle.
Σελίδα 77 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.