Elements of Plane Geometry, Del 1Harper & Brothers, 1878 - 132 sider |
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Resultat 1-5 av 28
Side viii
... figures . The work in its present form will be cheap , and will exhaust the first and most important depart- ment of geometrical study . Any pupil wishing to make further progress can readily do so by taking up any other work on the ...
... figures . The work in its present form will be cheap , and will exhaust the first and most important depart- ment of geometrical study . Any pupil wishing to make further progress can readily do so by taking up any other work on the ...
Side 9
... . 2880 70 BOOK IV . Proportion ..... 68 89 BOOK V. Proportion applied to Figures .. 95 Test Examples . ............... ... 114 APPENDIX . Mensuration of Surfaces ..... 125 A * T ELEMENTS OF PLANE GEOMETRY . BOOK I. EXPLANATION OF.
... . 2880 70 BOOK IV . Proportion ..... 68 89 BOOK V. Proportion applied to Figures .. 95 Test Examples . ............... ... 114 APPENDIX . Mensuration of Surfaces ..... 125 A * T ELEMENTS OF PLANE GEOMETRY . BOOK I. EXPLANATION OF.
Side 12
... figure or letter placed to the right and a little above the quantity ; thus , A3 , A3 , A * , A ” , is read A squared , A cubed , A raised to the fourth power , A raised to the mth power 2 , 3 , 4 , and m are called exponents , or ...
... figure or letter placed to the right and a little above the quantity ; thus , A3 , A3 , A * , A ” , is read A squared , A cubed , A raised to the fourth power , A raised to the mth power 2 , 3 , 4 , and m are called exponents , or ...
Side 13
... figure or letter to indicate the particular root ; thus , √Ā , VĀ , VĀ , ï / A is read the square root , the cube root , the fourth root , the mth root of A ; or these roots may be expressed by frac- tional exponents ; thus A , A , A ...
... figure or letter to indicate the particular root ; thus , √Ā , VĀ , VĀ , ï / A is read the square root , the cube root , the fourth root , the mth root of A ; or these roots may be expressed by frac- tional exponents ; thus A , A , A ...
Side 14
... Figure is a portion of a surface bounded by straight or curved lines . 14. The area of a figure is the quantity of space con- tained in it . D 15. A Circle is a plane figure bound- ed by a curved line such that every point upon it is ...
... Figure is a portion of a surface bounded by straight or curved lines . 14. The area of a figure is the quantity of space con- tained in it . D 15. A Circle is a plane figure bound- ed by a curved line such that every point upon it is ...
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Vanlige uttrykk og setninger
ABCD AC and BD AC and CB AC is equal ACEH adjacent angle allel alternate angles altitude angle ABC angle ACB angle BAC angle equal base centre chord circumference diagonal diameter draw equal angles equal const equal Prop equal to DF equiangular equilateral triangle exterior angle feet Find the area Geometry given line given point gles greater half the arc Hence the triangles hypothenuse included angle inscribed interior and opposite isosceles triangle Join the points Let ABC lines AC measured by half opposite angle parallelogram perpendicular point F polygon proportional PROPOSITION Prove quadrilateral radius rectangle rectangle contained Required the area rhombus right angles Prop right-angled triangle Scholium secant secant line segment side AC similar six right square tangent TEST EXAMPLES three sides trapezium triangle ABC
Populære avsnitt
Side 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Side 26 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Side 46 - 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.
Side 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
Side 63 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Side 64 - 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 114 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Side 57 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Side 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Side 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.