Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 σελίδες |
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Αποτελέσματα 1 - 5 από τα 65.
Σελίδα 15
... equal . Let AB and CD be two straight lines cutting one an- other in E. Then will AEC be equal to its opposite or ver- tical angle DEB . C B For the angles AEC , AED , on one side of CD , are together equal to two right angles ( Theo ...
... equal . Let AB and CD be two straight lines cutting one an- other in E. Then will AEC be equal to its opposite or ver- tical angle DEB . C B For the angles AEC , AED , on one side of CD , are together equal to two right angles ( Theo ...
Σελίδα 16
... equal to each other ; also the alternate angles . Let the straight line EF intersect the two parallel straight lines ... ( Theo . II ) . But EGB has just been proved equal to GHD . Consequently , AGH is equal to GHD ( Ax . 3 ) . Therefore ...
... equal to each other ; also the alternate angles . Let the straight line EF intersect the two parallel straight lines ... ( Theo . II ) . But EGB has just been proved equal to GHD . Consequently , AGH is equal to GHD ( Ax . 3 ) . Therefore ...
Σελίδα 17
... equal . THEOREM IV . If a straight line intersect two parallels , the sum of the two inner angles on the same side ... ( Theo . I ) . But GHC is equal to its alternate angle BGH ( Theo . III ) . Therefore , the sum of BGH and GHD is equal ...
... equal . THEOREM IV . If a straight line intersect two parallels , the sum of the two inner angles on the same side ... ( Theo . I ) . But GHC is equal to its alternate angle BGH ( Theo . III ) . Therefore , the sum of BGH and GHD is equal ...
Σελίδα 18
... Theo . III ) are equal to each other . 4. Prove that the sum of the two outer angles on the same side , EGB and FHD ( Fig . Theo . IV ) , is equal to two right angles . 5. Point out all the angles equal to EGB ( Fig . Theo . IV ) ; also ...
... Theo . III ) are equal to each other . 4. Prove that the sum of the two outer angles on the same side , EGB and FHD ( Fig . Theo . IV ) , is equal to two right angles . 5. Point out all the angles equal to EGB ( Fig . Theo . IV ) ; also ...
Σελίδα 19
... equal to either of the others . The ALTITUDE of a triangle is the perpendicular let fall from the vertex on the base ... Theo . I ) . But because CB intersects the parallels AC and BE , the angle CBE is equal to its alternate angle BCA ...
... equal to either of the others . The ALTITUDE of a triangle is the perpendicular let fall from the vertex on the base ... Theo . I ) . But because CB intersects the parallels AC and BE , the angle CBE is equal to its alternate angle BCA ...
Άλλες εκδόσεις - Προβολή όλων
Primary Elements of Plane and Solid Geometry: For Schools and Academies E W (Evan Wilhelm) 1827-1874 Evans Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2021 |
Primary Elements of Plane and Solid Geometry: For Schools and Academies E. W. 1827-1874 Evans Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCDEF allel alternate angles altitude angle BAC angles ABC apothegm base multiplied bisect called chord circle circumference cone consequently convex surface diagonals diameter divided draw Eclectic Reader equal Theo equal to half equivalent frustum Geometry given point half the arc half the product Hence hypotenuse included angle inscribed angle intersect isosceles triangle Let ABCD let fall McGuffey's measured by half mutually equiangular mutually equilateral number of equal number of sides opposite parallelogram perimeter perpendicular perpendicular distance prism proportion proved Published by W. B. quadrilateral radii radius Ray's rectangle regular inscribed regular polygon regular pyramid right angles right parallelopiped right-angled triangle Schol semicircle side BC slant hight solidity square straight line SUPT tangent THEOREM trapezoid triangles ABC triangles are equal triangular vertex W. B. SMITH
Δημοφιλή αποσπάσματα
Σελίδα 69 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Σελίδα 42 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Σελίδα 21 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 47 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Σελίδα 72 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Σελίδα 33 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 38 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Σελίδα 52 - PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop.
Σελίδα 30 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 69 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...