Plane and Solid GeometryGinn, 1899 - 473 sider |
Inni boken
Resultat 1-5 av 40
Side 13
... contains 180 ° ; and a perigon , when OC has made a complete revolution and contains 360 ° . NOTE . The natural angular unit is one complete revolution . But this unit would require us to express the values of most angles by frac- tions ...
... contains 180 ° ; and a perigon , when OC has made a complete revolution and contains 360 ° . NOTE . The natural angular unit is one complete revolution . But this unit would require us to express the values of most angles by frac- tions ...
Side 27
... that con- tains 37 ° 53 ′ 49 ′′ . Ex . 6. If the complement of an angle is one third of its supplement , how many degrees does the angle contain ? PROPOSITION XIV . THEOREM . 112. If two parallel lines PARALLEL LINES . 27 27.
... that con- tains 37 ° 53 ′ 49 ′′ . Ex . 6. If the complement of an angle is one third of its supplement , how many degrees does the angle contain ? PROPOSITION XIV . THEOREM . 112. If two parallel lines PARALLEL LINES . 27 27.
Side 92
... contains the unit of measure is called the numerical measure of that quantity . 267. No quantity is great or small ... contained 15 times in 2 feet , and 22 times in 33 feet . Hence , 2 feet and 3 feet are multiples of of a foot , since ...
... contains the unit of measure is called the numerical measure of that quantity . 267. No quantity is great or small ... contained 15 times in 2 feet , and 22 times in 33 feet . Hence , 2 feet and 3 feet are multiples of of a foot , since ...
Side 97
... contains d or d ' , the whole right member can be made less than any assigned quantity , but not zero . § 278 Hence , ab - xy can be made less than any assigned quantity , but not zero . Therefore , the limit of xy = ab . Similarly ...
... contains d or d ' , the whole right member can be made less than any assigned quantity , but not zero . § 278 Hence , ab - xy can be made less than any assigned quantity , but not zero . Therefore , the limit of xy = ab . Similarly ...
Side 99
... contained just twice in HB . Then HB = 2 KD ; FD = HB + KD = = 3 KD ; EB = FD + HB = 5 KD ; CD 3 EB + FD = 18 KD ; AB = 41 KD . 41 = 18 = 2 CD + EB AB 41 KD = CD 18 KD Q. E. F. NOTE . By the same process the ratio of two arcs of the ...
... contained just twice in HB . Then HB = 2 KD ; FD = HB + KD = = 3 KD ; EB = FD + HB = 5 KD ; CD 3 EB + FD = 18 KD ; AB = 41 KD . 41 = 18 = 2 CD + EB AB 41 KD = CD 18 KD Q. E. F. NOTE . By the same process the ratio of two arcs of the ...
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Vanlige uttrykk og setninger
ABCD AC² adjacent angles altitude angles are equal apothem axis bisector bisects called centre chord circumference circumscribed coincide construct cylinder denote diagonals diameter dihedral angles divided Draw equiangular equidistant equilateral triangle equivalent exterior angle feet Find the area Find the locus frustum given circle given line given point given straight line greater Hence homologous homologous sides hypotenuse inches inscribed intersecting isosceles triangle lateral area lateral edges limit middle point number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyhedron prism prismatoid Proof proportional prove Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon respectively rhombus right angle right circular right triangle segments similar slant height sphere spherical square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangle is equal trihedral vertex vertices
Populære avsnitt
Side 66 - 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. Given A ABC and A'B'C...
Side 274 - 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.
Side 372 - Each side of a spherical triangle is less than the sum of the other two sides. Let ABC be a spherical triangle, AB the longest side.
Side 385 - If two angles of a spherical triangle are unequal, the sides opposite are unequal,, and the greater side is opposite the greater angle...
Side 191 - 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.
Side 360 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Side 383 - 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.
Side 75 - 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 150 - If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. In the triangles ABC and A'B'C', let ZA = Z A', and let AB : A'B' = AC : A'C'. To prove that the A ABC and A'B'C
Side 376 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...