Plane and Solid GeometryLongmans, Green and Company, 1898 - 210 sider |
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Resultat 1-5 av 15
Side 40
... perimeter of the parallelogram thus formed is equal to the sum of the equal sides of the triangle . SUGGESTION . See 112 . 115. A Polygon is a plane figure bounded by straight lines ; as ABCDE . The straight lines are called the Sides ...
... perimeter of the parallelogram thus formed is equal to the sum of the equal sides of the triangle . SUGGESTION . See 112 . 115. A Polygon is a plane figure bounded by straight lines ; as ABCDE . The straight lines are called the Sides ...
Side 41
... perimeter . 120. A polygon is called Concave when at least one of its angles is greater than a straight angle ; as FGHIK , in which the interior angle whose vertex is H is greater than a straight angle . Such an angle is called ...
... perimeter . 120. A polygon is called Concave when at least one of its angles is greater than a straight angle ; as FGHIK , in which the interior angle whose vertex is H is greater than a straight angle . Such an angle is called ...
Side 92
... perimeters of two similar polygons have the same ratio as any two homologous sides . E A A ' E ' B C B ' Let the two similar polygons be ABCDE and A'B'C'D'E ' , and let P and P ' represent their perimeters . To prove P : P ' :: AB : A'B ...
... perimeters of two similar polygons have the same ratio as any two homologous sides . E A A ' E ' B C B ' Let the two similar polygons be ABCDE and A'B'C'D'E ' , and let P and P ' represent their perimeters . To prove P : P ' :: AB : A'B ...
Side 106
... perimeter in feet ? 2. If the base and altitude of a triangle are 18 and 12 , what is the length of the side of an equivalent square ? 3. Show that the area of a triangle is equal to one- half the product of its perimeter by the radius ...
... perimeter in feet ? 2. If the base and altitude of a triangle are 18 and 12 , what is the length of the side of an equivalent square ? 3. Show that the area of a triangle is equal to one- half the product of its perimeter by the radius ...
Side 117
... perimeter . EXERCISES . 1. If the sides of a triangle are 13 , 14 , 15 , find the area . 2. In the above , find the radius of the inscribed circle ( see 257 , Ex . 3 ) . 3. The area of a rhombus is 24 and its side is 5 ; find the ...
... perimeter . EXERCISES . 1. If the sides of a triangle are 13 , 14 , 15 , find the area . 2. In the above , find the radius of the inscribed circle ( see 257 , Ex . 3 ) . 3. The area of a rhombus is 24 and its side is 5 ; find the ...
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Vanlige uttrykk og setninger
ABCD AC² acute angle AD² adjacent adjacent angles altitude angle formed angles are equal apothem arc BC base and altitude bisect bisector called centre chord circumference circumscribed cone cylinder diagonals diameter diedral angles distance divided draw drawn ECDH equally distant equilateral equivalent EXERCISES faces four right angles frustum given point given straight line hence homologous homologous sides hypotenuse inscribed polygon interior angles intersection isosceles triangle join lateral area lateral edges Let ABC lune mean proportional measured by one-half middle point number of sides parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron PROPOSITION XI prove pyramid Q.E.D. PROPOSITION quadrilateral radii radius ratio rectangle rectangular parallelopiped regular polygon right triangle SCHOLIUM segments semiperimeter sphere spherical angle spherical polygon spherical triangle surface tangent THEOREM triangle ABC triangles are equal triangular triangular prism V-ABC vertex vertical angle
Populære avsnitt
Side 46 - 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.
Side 105 - ... 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.
Side 82 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Side 192 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Side 108 - Two triangles having 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.
Side 146 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Side 30 - In an isosceles triangle, the angles opposite the equal sides are equal.
Side 80 - In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Side 79 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос.
Side 148 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.