Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 sider |
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Resultat 1-5 av 42
Side 39
... ABCD'FG will be a convex polygon , having the same number of sides as the original polygon . And it is moreover obvious that the sum of all the interior angles of this convex polygon is the same as the sum of all the angles of the ...
... ABCD'FG will be a convex polygon , having the same number of sides as the original polygon . And it is moreover obvious that the sum of all the interior angles of this convex polygon is the same as the sum of all the angles of the ...
Side 41
... ABCD be a parallelogram , of which the diagonal is AC ; then will its opposite sides and angles be equal to each other , and the A diagonal will divide it into two equal triangles . D B For , since the sides AB and DC are parallel , as ...
... ABCD be a parallelogram , of which the diagonal is AC ; then will its opposite sides and angles be equal to each other , and the A diagonal will divide it into two equal triangles . D B For , since the sides AB and DC are parallel , as ...
Side 42
... ABCD be a quadrilateral , having the opposite sides equal , namely , the side AB equal to DC , and AD equal to BC ; then will these equal sides be also parallel , and the figure will be a parallelogram . B For , let the diagonal AC be ...
... ABCD be a quadrilateral , having the opposite sides equal , namely , the side AB equal to DC , and AD equal to BC ; then will these equal sides be also parallel , and the figure will be a parallelogram . B For , let the diagonal AC be ...
Side 44
... ABCD . 5. The altitude of a trapezoid is the perpendicular drawn be- tween its two parallel sides ; thus , FG is the altitude of the trapezoid ABCD . A D F D F D 6. A rectangle is said to be con- tained 44 ELEMENTS OF GEOMETRY . BOOK ...
... ABCD . 5. The altitude of a trapezoid is the perpendicular drawn be- tween its two parallel sides ; thus , FG is the altitude of the trapezoid ABCD . A D F D F D 6. A rectangle is said to be con- tained 44 ELEMENTS OF GEOMETRY . BOOK ...
Side 45
... ABCD is contained by the sides AB , CD . For brevity , it is often referred to as the rectangle BA.AD. C PROPOSITION 1 . THEOREM . Two parallelograms having the same base and same altitude , are equivalent . Let the two parallelograms ABCD ...
... ABCD is contained by the sides AB , CD . For brevity , it is often referred to as the rectangle BA.AD. C PROPOSITION 1 . THEOREM . Two parallelograms having the same base and same altitude , are equivalent . Let the two parallelograms ABCD ...
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Vanlige uttrykk og setninger
a+b+c AC² altitude angle ACD angle BAC bisect centre chord circ circular sector circumference cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed four right angles given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel planes parallelogram parallelopipedon pendicular perimeter perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right angles right-angled triangle Sabc Schol Scholium semicircle semicircumference side AC similar similar triangles solid angle solid described sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Populære avsnitt
Side 37 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Side 180 - THEOREM. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to this plane. Let AP & ED be parallel lines, of which AP is perpendicular to the plane MN ; then will ED be also perpendicular to this plane.
Side 139 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Side 224 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Side 43 - In a right-angled triangle, the side opposite the right angle is" called the Hypothenuse ; and the other two sides are cal4ed the Legs, and sometimes the Base and Perpendicular.
Side 184 - THEOREM. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, they will be equal, and the planes in which they are situated will be parallel.
Side 10 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Side 226 - We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude.
Side 22 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Side 12 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.