A School Geometry, Μέρη 1-4Macmillan and Company, 1908 |
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Αποτελέσματα 1 - 5 από τα 19.
Σελίδα 101
... rect . AB , AD , or simply AB × AD . A square drawn on the side AB is denoted by sq . on AB , or AB2 . EXERCISES . ( On Tables of Length and Area . ) Draw a figure to shew why ( i ) 1 sq . yard = 32 sq . feet . ( ii ) sq . foot = 122 sq ...
... rect . AB , AD , or simply AB × AD . A square drawn on the side AB is denoted by sq . on AB , or AB2 . EXERCISES . ( On Tables of Length and Area . ) Draw a figure to shew why ( i ) 1 sq . yard = 32 sq . feet . ( ii ) sq . foot = 122 sq ...
Σελίδα 105
... rect . ABEF = AB X BE = base x altitude . F D E Α ́ B COROLLARY . Since the area of a parallelogram depends only on its base and altitude , it follows that Parallelograms on equal bases and of equal altitudes are equal in area ...
... rect . ABEF = AB X BE = base x altitude . F D E Α ́ B COROLLARY . Since the area of a parallelogram depends only on its base and altitude , it follows that Parallelograms on equal bases and of equal altitudes are equal in area ...
Σελίδα 106
... rect . BCED . And the rect . BCED = any parm BCHG on the same base and between the same parls . .. the ABC is half the parm BCHG . G HD B Α.Ε THE AREA OF A TRIANGLE . If BC and AF 106 GEOMETRY .
... rect . BCED . And the rect . BCED = any parm BCHG on the same base and between the same parls . .. the ABC is half the parm BCHG . G HD B Α.Ε THE AREA OF A TRIANGLE . If BC and AF 106 GEOMETRY .
Σελίδα 108
... rect . BCED ; .. the ABC = the △ GBC . Theor . 25 Q.E.D. Similarly , triangles on equal bases and of equal ... rect . BC , AF the rect . BC , GH ; = AF = GH . Theor . 23 , Cor . 2 . Also AF and GH are par1 ; hence AG and FH , that is BC ...
... rect . BCED ; .. the ABC = the △ GBC . Theor . 25 Q.E.D. Similarly , triangles on equal bases and of equal ... rect . BC , AF the rect . BC , GH ; = AF = GH . Theor . 23 , Cor . 2 . Also AF and GH are par1 ; hence AG and FH , that is BC ...
Σελίδα 118
... FAC ; = add to each the CAB : then the whole CAD = the whole & FAB . Then in the △ CAD , FAB , CA = FA , AD = AB , CAD = the included & FAB ; because and the included .. the CAD = the AFAB . Theor . 4 Now the rect . AL is double of the ...
... FAC ; = add to each the CAB : then the whole CAD = the whole & FAB . Then in the △ CAD , FAB , CA = FA , AD = AB , CAD = the included & FAB ; because and the included .. the CAD = the AFAB . Theor . 4 Now the rect . AL is double of the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB² adjacent angles altitude angle equal base BC bisector bisects circle of radius circle whose centre circles which touch circum-circle circumference circumscribed coincide common tangents concyclic Construct a triangle diagonals diagram diameter distance divided draw a circle equal in area equidistant escribed circles Euclid exterior angles Find the area find the locus given angle given circle given point given straight line given triangle greater Hence hypotenuse inches inscribed isosceles triangle length Let ABC meet metres middle point millimetre nine-points circle opposite sides orthocentre par¹ parallelogram pedal triangle perp PROBLEM produced Proof radii rect rectangle rectangle contained rectilineal figure required to prove respectively rhombus right angles right-angled triangle segment shew shewn straight line drawn tangent Theor Theorem trapezium triangle ABC triangles are equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα xi - IF two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 44 - 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.
Σελίδα 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 12 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 122 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα x - 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 65 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.