Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes, 1886 - 324 σελίδες |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 14
... Third . A scalene triangle , which has its three sides all unequal . Fourth . A right angled triangle , which has one right angle . In the right angled triangle ABC , the side AC , opposite the right angle , is called the hypothenuse ...
... Third . A scalene triangle , which has its three sides all unequal . Fourth . A right angled triangle , which has one right angle . In the right angled triangle ABC , the side AC , opposite the right angle , is called the hypothenuse ...
Σελίδα 25
... third cide . Let ABC be a triangle then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the short- A B est distance between the two points A and B ( Ax . xi ) : hence AC + ...
... third cide . Let ABC be a triangle then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the short- A B est distance between the two points A and B ( Ax . xi ) : hence AC + ...
Σελίδα 26
... third line GH , the angles AEF and EFD are called alternate angles . It is required to prove that these C angles are equal . H B D If they are unequal one of them must be greater than the other . Suppose EFD to be the greater angle ...
... third line GH , the angles AEF and EFD are called alternate angles . It is required to prove that these C angles are equal . H B D If they are unequal one of them must be greater than the other . Suppose EFD to be the greater angle ...
Σελίδα 30
... third angles will also be equal ( Ax . 3 ) . Cor . 2. If one angle of one triangle be equal to one angle of another triangle , the sum of the two remaining angles in each triangle , will also be equal ( Ax . 3 ) . Cor . 3. If one angle ...
... third angles will also be equal ( Ax . 3 ) . Cor . 2. If one angle of one triangle be equal to one angle of another triangle , the sum of the two remaining angles in each triangle , will also be equal ( Ax . 3 ) . Cor . 3. If one angle ...
Σελίδα 35
... third angles cqual ( Th . xvii . Cor . 1 ) , viz . the angle A equal to the angle C , and these are two of the opposite angles of the parallelogram . Also , if to the equal angles ADB , DBC , we add the equals BDC , ABD , the sums will ...
... third angles cqual ( Th . xvii . Cor . 1 ) , viz . the angle A equal to the angle C , and these are two of the opposite angles of the parallelogram . Also , if to the equal angles ADB , DBC , we add the equals BDC , ABD , the sums will ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angles equal base multiplied bisect called centre chains chord circle whose diameter circular sector circumference column comp cone consequently convex surface Cosine Cosine D Cotang cubic cylinder decimal diagonal dicular distance divided draw drawn equal Bk equal to half equivalent EXAMPLES feet figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE segment side AC similar similar triangles slant height sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards
Δημοφιλή αποσπάσματα
Σελίδα 44 - Let ABC be a triangle, of which the side AC is greater than the side AB; the angle ABC shall be greater than the angle BCA.
Σελίδα 11 - A circle (Fig. 38) is a figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within, called the center.
Σελίδα 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 130 - ... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Σελίδα 209 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower Cway 33° 45' ; required the height of the tower.
Σελίδα 58 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Σελίδα 159 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Σελίδα 70 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Σελίδα 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.