Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 páginas |
Dentro del libro
Resultados 1-5 de 23
Página 52
... remaining portion of the circumference ? Is it the same for all circles ? ( 33 ) In any two circles which have the same centre * , if a chord be drawn to the outer one and intersecting the inner one , shew that the parts of this chord ...
... remaining portion of the circumference ? Is it the same for all circles ? ( 33 ) In any two circles which have the same centre * , if a chord be drawn to the outer one and intersecting the inner one , shew that the parts of this chord ...
Página 59
... remaining 4 BAD of the one triangle is equal to the L B D remaining ACB of the other , that is , the triangles ADB , ABC , are equiangular , and .. similar . In the same way it may be shewn , that the triangles ADC , ABC , are ...
... remaining 4 BAD of the one triangle is equal to the L B D remaining ACB of the other , that is , the triangles ADB , ABC , are equiangular , and .. similar . In the same way it may be shewn , that the triangles ADC , ABC , are ...
Página 69
... remaining angle PAC = remaining angle PDB ; and the triangles PBD , PAC are similar , and the sides about B D equal angles proportionals ( 71 ) , .. PA : PC :: PD : PB , and the rectangle PA , PB = the rectangle PC , PD ( 74 ) . COR ...
... remaining angle PAC = remaining angle PDB ; and the triangles PBD , PAC are similar , and the sides about B D equal angles proportionals ( 71 ) , .. PA : PC :: PD : PB , and the rectangle PA , PB = the rectangle PC , PD ( 74 ) . COR ...
Página 78
... remaining angles of the polygon . = L A B COR . 1. Hence , if with centre O and radius OA a circle be described , its circumference will pass through all the angular points in the perimeter of the polygon . In this case the circle is ...
... remaining angles of the polygon . = L A B COR . 1. Hence , if with centre O and radius OA a circle be described , its circumference will pass through all the angular points in the perimeter of the polygon . In this case the circle is ...
Página 81
... remaining triangles AEF , aef are similar . N. B. It is not enough in polygons , as in triangles , to make them similar , that the angles of the one are re- spectively equal to those of the other , because two tri- angles cannot have ...
... remaining triangles AEF , aef are similar . N. B. It is not enough in polygons , as in triangles , to make them similar , that the angles of the one are re- spectively equal to those of the other , because two tri- angles cannot have ...
Otras ediciones - Ver todas
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 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.
Página 126 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Página 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.