Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes, 1886 - 324 σελίδες |
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Αποτελέσματα 1 - 5 από τα 93.
Σελίδα 12
... draw CE , then , the angle ECB will be equal to 40 degrees . If CF were drawn through 180 90 80 40 E B the point of division marked 80 , the angle BCF would be equal to 80 degrees . OF LINES . 30. Two straight lines are said to be ...
... draw CE , then , the angle ECB will be equal to 40 degrees . If CF were drawn through 180 90 80 40 E B the point of division marked 80 , the angle BCF would be equal to 80 degrees . OF LINES . 30. Two straight lines are said to be ...
Σελίδα 14
... a triangle is a line drawn from the angle opposite the base and per - Á B pendicular to the base . Thus , CD is the altitude of the tri angle ACB Definitions . 48. There are three kinds of quadrilaterals . 14 GEOMETRY .
... a triangle is a line drawn from the angle opposite the base and per - Á B pendicular to the base . Thus , CD is the altitude of the tri angle ACB Definitions . 48. There are three kinds of quadrilaterals . 14 GEOMETRY .
Σελίδα 16
... drawn from the opposite side or angle , perpendicular to the base . AXIOMS . 1. Things which are equal to the same thing are equal to each other . 2. If equals be added to equals , the wholes will be equal . 3. If equals be taken from ...
... drawn from the opposite side or angle , perpendicular to the base . AXIOMS . 1. Things which are equal to the same thing are equal to each other . 2. If equals be added to equals , the wholes will be equal . 3. If equals be taken from ...
Σελίδα 17
... drawn through the centre C perpen- dicular to each other , each will divide the circumference into two equal parts ; and 4 the entire circumference will be divided into the equal quadrants DB , DA , AE , and EB . E B Cor . 2. Hence , a ...
... drawn through the centre C perpen- dicular to each other , each will divide the circumference into two equal parts ; and 4 the entire circumference will be divided into the equal quadrants DB , DA , AE , and EB . E B Cor . 2. Hence , a ...
Σελίδα 23
... drawn . A B Then , since the side AC is equal to AD , by hypothesis , the mangle ADC will be isosceles ; and therefore , the angle ACD will be equal to the angle ADC ( Th . vi ) . In like manner , in the triangle CBD , the side CB is ...
... drawn . A B Then , since the side AC is equal to AD , by hypothesis , the mangle ADC will be isosceles ; and therefore , the angle ACD will be equal to the angle ADC ( Th . vi ) . In like manner , in the triangle CBD , the side CB is ...
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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.