Plane and Solid GeometryLongmans, Green and Company, 1898 - 210 sider |
Inni boken
Resultat 1-5 av 18
Side 34
... Diagonal of a quadrilateral is a straight line joining two vertices not adjacent ; as AC . 102. Quadrilaterals are divided into classes as follows : 1st . The Trapezium ( A ) , which has no two of its sides parallel . 2d . The Trapezoid ...
... Diagonal of a quadrilateral is a straight line joining two vertices not adjacent ; as AC . 102. Quadrilaterals are divided into classes as follows : 1st . The Trapezium ( A ) , which has no two of its sides parallel . 2d . The Trapezoid ...
Side 35
... diagonal AC . Since AB and CE are parallel and AC cuts them , ( by 62 ) , = LBACZ ACE . Since AE and BC are parallel and AC cuts them , ( by 62 ) , ZACB = ZCAE . Then the triangles ABC and ACE have the side AC com- mon , and the two ...
... diagonal AC . Since AB and CE are parallel and AC cuts them , ( by 62 ) , = LBACZ ACE . Since AE and BC are parallel and AC cuts them , ( by 62 ) , ZACB = ZCAE . Then the triangles ABC and ACE have the side AC com- mon , and the two ...
Side 36
... diagonals of a parallelogram bisect each other . B C A E Let the figure ABCE be a parallelogram , and let the diagonals AC and BE cut each other at O. To prove that AO OC and BO = OE . = ≤ In the triangles BOC and AOE , BC = AE ( by ...
... diagonals of a parallelogram bisect each other . B C A E Let the figure ABCE be a parallelogram , and let the diagonals AC and BE cut each other at O. To prove that AO OC and BO = OE . = ≤ In the triangles BOC and AOE , BC = AE ( by ...
Side 37
James Howard Gore. 2. Show that the diagonals of a rhombus bisect each other at right angles . 3. Show that the diagonals of a rectangle are equal . 4. Show that two parallelograms are equal when two adjacent sides and the included angle ...
James Howard Gore. 2. Show that the diagonals of a rhombus bisect each other at right angles . 3. Show that the diagonals of a rectangle are equal . 4. Show that two parallelograms are equal when two adjacent sides and the included angle ...
Side 40
... is an angle between any side and the continuation of an adjacent side . A Diagonal is a line joining any two vertices that are not adjacent , as AD . 117. Polygons are named from the number of their sides 40 [ Вк . І. PLANE GEOMETRY .
... is an angle between any side and the continuation of an adjacent side . A Diagonal is a line joining any two vertices that are not adjacent , as AD . 117. Polygons are named from the number of their sides 40 [ Вк . І. PLANE GEOMETRY .
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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.