Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 sider |
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Side 36
... similar construction , what figure will the two together make ? ( 2 ) Have we yet laid down any mode of measuring an angle ? If not , how are we able to prove that one angle is equal to , less than , or greater than , another ac ...
... similar construction , what figure will the two together make ? ( 2 ) Have we yet laid down any mode of measuring an angle ? If not , how are we able to prove that one angle is equal to , less than , or greater than , another ac ...
Side 57
... Similar triangles have the sides form- ing the equal angles proportionals . [ DEF . Similar triangles are such as have their angles equal , each to each . ] Let ABC , abc , be similar triangles , that is , A = Lα , E A D B a < B = 2b ...
... Similar triangles have the sides form- ing the equal angles proportionals . [ DEF . Similar triangles are such as have their angles equal , each to each . ] Let ABC , abc , be similar triangles , that is , A = Lα , E A D B a < B = 2b ...
Side 58
... similar . COR . 2. Hence , also , if a triangle be cut off from a larger triangle by a line parallel to one of the sides , the two triangles will be similar , and have the sides about equal angles proportionals . COR . 3. If CD be drawn ...
... similar . COR . 2. Hence , also , if a triangle be cut off from a larger triangle by a line parallel to one of the sides , the two triangles will be similar , and have the sides about equal angles proportionals . COR . 3. If CD be drawn ...
Side 59
... similar . In the same way it may be shewn , that the triangles ADC , ABC , are equiangular , and .. similar . Hence also the triangles ADB , ADC are equiangular and similar . COR . 1. Since in similar triangles the sides forming equal ...
... similar . In the same way it may be shewn , that the triangles ADC , ABC , are equiangular , and .. similar . Hence also the triangles ADB , ADC are equiangular and similar . COR . 1. Since in similar triangles the sides forming equal ...
Side 63
... similar triangles are proportional to the squares of any two corresponding sides * , that is , sides opposite to equal angles † . Let ABC , abc be similar triangles , in which < A = ≤ α , E H a d h D B Sometimes called ' homologous ...
... similar triangles are proportional to the squares of any two corresponding sides * , that is , sides opposite to equal angles † . Let ABC , abc be similar triangles , in which < A = ≤ α , E H a d h D B Sometimes called ' homologous ...
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Elements of Geometry and Mensuration: With Easy Exercises, Designed for ... Thomas Lund Uten tilgangsbegrensning - 1859 |
Elements of Geometry and Mensuration: With Easy Exercises, Designed for ... Thomas Lund Uten tilgangsbegrensning - 1859 |
Vanlige uttrykk og setninger
ABCDEF acres base bisect breadth centre chain chord circular circum circumference circumscribing circle compasses construction contained continued fraction curved decimal Diagonal Scale diagram diameter distance divided draw drawn edge equilateral triangle find the area find the length fraction frustum given angle given circle given line given point given straight line given triangle half height Hence hexagon inscribed instrument intersecting join Let ABCD lineal unit magnitude meet multiplied number of equal number of sides number of units opposite angle parallelogram perimeter perpendicular plane surface plot points of division PROB produced PROP proportional Protractor radii radius ratio rectangle rectangular regular polygon represent right angles shew shewn similar similar triangles square feet square foot square inches straight edge subtends suppose trapezium triangle ABC vernier vertex whole yards
Populære avsnitt
Side 32 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Side 27 - 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.
Side 32 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle.
Side 43 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 17 - 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.
Side 22 - Theorem. The greater side of every triangle is opposite to the greater angle. Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA. Because AC is greater than AB, make...
Side 192 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Side 126 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.