New Plane and Solid GeometryD.C. Heath & Company, 1908 - 298 páginas |
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Página 6
... BC , the legs . 23. We define a circle as a portion of a plane bounded by a curve , called the circumference , all points of which are equally distant from a point within A called the centre . An arc is any portion of the circum ...
... BC , the legs . 23. We define a circle as a portion of a plane bounded by a curve , called the circumference , all points of which are equally distant from a point within A called the centre . An arc is any portion of the circum ...
Página 8
... arc inter- secting OA at C and OB at D ; with C and D as centres , and the same radius , describe arcs intersecting ... BC at H. With E as a centre , and BG as a radius , describe an arc intersecting DE at K. With K as a centre , and the ...
... arc inter- secting OA at C and OB at D ; with C and D as centres , and the same radius , describe arcs intersecting ... BC at H. With E as a centre , and BG as a radius , describe an arc intersecting DE at K. With K as a centre , and the ...
Página 17
... arc ; with the same radius and B as a centre draw an arc intersecting the first arc at C ; draw lines AC ( b ) and BC ( a ) . We then have : Given a and b , the equal sides of isosceles △ ABC . To Prove LA = LB. Proof . 1. Draw str ...
... arc ; with the same radius and B as a centre draw an arc intersecting the first arc at C ; draw lines AC ( b ) and BC ( a ) . We then have : Given a and b , the equal sides of isosceles △ ABC . To Prove LA = LB. Proof . 1. Draw str ...
Página 22
... BC ; construct EFG ; with E as centre and AB as radius describe an arc intersect- ing FG at D ; draw line DE . We now have : Given , in rt . A ABC and DEF , hypotenuse AB = hypotenuse DE , and BC = EF . To Prove △ ABC A DEF . Proof . 1 ...
... BC ; construct EFG ; with E as centre and AB as radius describe an arc intersect- ing FG at D ; draw line DE . We now have : Given , in rt . A ABC and DEF , hypotenuse AB = hypotenuse DE , and BC = EF . To Prove △ ABC A DEF . Proof . 1 ...
Página 67
... arc of the segment , and its sides pass through the extremities of the subtending chord ; thus , angle B is in- scribed in segment ABC . B C 150. A straight line is said to be tangent to , or to touch , a circle when it has but one ...
... arc of the segment , and its sides pass through the extremities of the subtending chord ; thus , angle B is in- scribed in segment ABC . B C 150. A straight line is said to be tangent to , or to touch , a circle when it has but one ...
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Términos y frases comunes
adjacent angles altitude angle formed angles are equal apothem arc BC base and altitude bisector bisects centre chord circle circumference circumscribed coincide construct Converse of Prop diagonals diameter diedral angle distance Draw line equal parts occur equal respectively equally distant equilateral triangle exterior angle faces frustum Given line given point homologous sides hypotenuse intersecting isosceles trapezoid isosceles triangle lateral area lateral edges line drawn line joining lines be drawn measured by arc middle point number of sides oblique lines opposite parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism Proof proportional Prove pyramid quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle secant segments slant height spherical polygon spherical triangle square straight line surface tangent tetraedron THEOREM trapezoid triedral vertex vertices volume
Pasajes populares
Página 168 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Página 17 - In an isosceles triangle the angles opposite the equal sides are equal.
Página 138 - ... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude.
Página 168 - Similar arcs are to each other as their radii; and similar sectors are to each other as the squares of their radii.
Página 50 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.
Página 128 - In any triangle, the product of any two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle, plus the square of the bisector.
Página 265 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Página 282 - A zone is a portion of the surface of a sphere included between two parallel planes.
Página 241 - Every section of a cylinder made by a plane passing through an element is a parallelogram. Given ABCD, a section of cylinder AC, made by plane through element AB.
Página 256 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.