Elements of Geometry: With, Practical ApplicationsD. Appleton and Company, 1850 - 320 σελίδες |
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Αποτελέσματα 1 - 5 από τα 48.
Σελίδα 21
... equals , the re- maining angle AFC will be equal to the remaining angle BFD ( Ax . III . ) And in the same manner it may be shown that the angle AFD is equal to BFC . PROPOSITION III . THEOREM . If two triangles have two BOOK 1 . 21.
... equals , the re- maining angle AFC will be equal to the remaining angle BFD ( Ax . III . ) And in the same manner it may be shown that the angle AFD is equal to BFC . PROPOSITION III . THEOREM . If two triangles have two BOOK 1 . 21.
Σελίδα 27
... . In like manner , if CB be produced to H , and AB be bisected , it may be shown that the exterior angle ABH , or its equal CBD , is greater than the other interior angle BAC . PROPOSITION VII . THEOREM . When a triangle has two BOOK I. 27.
... . In like manner , if CB be produced to H , and AB be bisected , it may be shown that the exterior angle ABH , or its equal CBD , is greater than the other interior angle BAC . PROPOSITION VII . THEOREM . When a triangle has two BOOK I. 27.
Σελίδα 31
... shown that they also are equal , and consequently FA is equal to GB . ( 36. ) PROBLEM . Given , the lengths of three lines drawn from a point within an equilateral triangle , to the three corners , to find the side of the triangle . Let ...
... shown that they also are equal , and consequently FA is equal to GB . ( 36. ) PROBLEM . Given , the lengths of three lines drawn from a point within an equilateral triangle , to the three corners , to find the side of the triangle . Let ...
Σελίδα 40
... shown to equal the angle HKD ; therefore the two angles BHK , DKH , taken together , are also equal to two right - angles . Cor . 1. And , conversely , if one line meet two other lines , making the exterior angle equal to the interior ...
... shown to equal the angle HKD ; therefore the two angles BHK , DKH , taken together , are also equal to two right - angles . Cor . 1. And , conversely , if one line meet two other lines , making the exterior angle equal to the interior ...
Σελίδα 60
... shown to be equal to the parallelogram BM . Consequently the two squares AH and BK together are equal to the two parallelograms AM and BM together , or to the whole square AF . That is , the sum of the squares on the two lesser sides is ...
... shown to be equal to the parallelogram BM . Consequently the two squares AH and BK together are equal to the two parallelograms AM and BM together , or to the whole square AF . That is , the sum of the squares on the two lesser sides is ...
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Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c altitude angle ABC angle BAC angle BCD bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder denote diagonal diameter dicular distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line AC line CD lines drawn measured by half meet multiplied number of sides parallel planes parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar similar triangles solid angle sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Δημοφιλή αποσπάσματα
Σελίδα 231 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Σελίδα 147 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Σελίδα 17 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Σελίδα 28 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Σελίδα 233 - The volume of a cylinder is equal to the product of its base by its altitude. Let the volume of the cylinder be denoted by V, its base by B, and its altitude by H.
Σελίδα 276 - THEOREM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side...
Σελίδα 120 - 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Σελίδα 18 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.
Σελίδα 232 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 96 - Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional.