Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 sider |
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Resultat 6-10 av 78
Side 64
... similar triangles , .. paral TM . AGHB : square of AB :: paral TM , aghb and , alternately , : square paralm . AGHB : paral " . aghb :: square of AB : square since of ab ; .. triangle ABC : triangle abc :: square of AB of ab , : square ...
... similar triangles , .. paral TM . AGHB : square of AB :: paral TM , aghb and , alternately , : square paralm . AGHB : paral " . aghb :: square of AB : square since of ab ; .. triangle ABC : triangle abc :: square of AB of ab , : square ...
Side 65
... similar , when they have their angles equal , each to each , and the sides form- ing equal angles proportionals . Hence all squares are similar figures , since the angles of any one are equal to the angles of any other , each to each ...
... similar , when they have their angles equal , each to each , and the sides form- ing equal angles proportionals . Hence all squares are similar figures , since the angles of any one are equal to the angles of any other , each to each ...
Side 68
... similar parallelograms are composed of two pairs of similar triangles , which are to each other as the squares of corresponding sides or lines within them ( 76 ) , therefore the parallelograms also are proportional to the squares of ...
... similar parallelograms are composed of two pairs of similar triangles , which are to each other as the squares of corresponding sides or lines within them ( 76 ) , therefore the parallelograms also are proportional to the squares of ...
Side 69
... 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 . If one of the chords , AB , be a diameter , the proposition holds true , viz ...
... 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 . If one of the chords , AB , be a diameter , the proposition holds true , viz ...
Side 72
... bisected , the line joining the points of bisection is pa- rallel to the third side , and equal to half of it . ( 13 ) Define similar triangles ; can triangles be 72 222 GEOMETRY AS A SCIENCE . Note on Ratio and Proportion Exercises C.
... bisected , the line joining the points of bisection is pa- rallel to the third side , and equal to half of it . ( 13 ) Define similar triangles ; can triangles be 72 222 GEOMETRY AS A SCIENCE . Note on Ratio and Proportion Exercises C.
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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.