A School Geometry, Teile 1-4Macmillan and Company, 1908 |
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Seite xvii
... of some Algebraical Formulæ . DEFINITIONS THEOREM 50. [ Euc . II . 1. ] If of two straight lines , one is divided into any number of parts , the rectangle contained by 219 the two lines is equal to the sum of the CONTENTS . xvii.
... of some Algebraical Formulæ . DEFINITIONS THEOREM 50. [ Euc . II . 1. ] If of two straight lines , one is divided into any number of parts , the rectangle contained by 219 the two lines is equal to the sum of the CONTENTS . xvii.
Seite xviii
... divided line . COROLLARIES . [ Euc . II . 2 and 3. ] THEOREM 51. [ Euc . II . 4. ] If a straight line is divided in- ternally at any point , the square on the given line is equal to the sum of the squares on the two segments together ...
... divided line . COROLLARIES . [ Euc . II . 2 and 3. ] THEOREM 51. [ Euc . II . 4. ] If a straight line is divided in- ternally at any point , the square on the given line is equal to the sum of the squares on the two segments together ...
Seite 4
... divided into 90 equal parts called degrees ( ° ) ; each degree into 60 equal parts called minutes ( ' ) ; each minute into 60 equal parts called seconds ( " ) . In the above figure , if OC revolves about O from the position OA into the ...
... divided into 90 equal parts called degrees ( ° ) ; each degree into 60 equal parts called minutes ( ' ) ; each minute into 60 equal parts called seconds ( " ) . In the above figure , if OC revolves about O from the position OA into the ...
Seite 8
... divided into a number of separate dis- cussions , called propositions . Propositions are of two kinds , Theorems and Problems . A Theorem proposes to prove the truth of some geometrical statement . A Problem proposes to perform some ...
... divided into a number of separate dis- cussions , called propositions . Propositions are of two kinds , Theorems and Problems . A Theorem proposes to prove the truth of some geometrical statement . A Problem proposes to perform some ...
Seite 26
... divided into two equal parts . 6 . Shew that the straight lines which join the extremities of the base of an isosceles triangle to the middle points of the opposite sides , are equal to one another . 7. Two given points in the base of ...
... divided into two equal parts . 6 . Shew that the straight lines which join the extremities of the base of an isosceles triangle to the middle points of the opposite sides , are equal to one another . 7. Two given points in the base of ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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...
Seite 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.
Seite 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Seite 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.
Seite 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 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.
Seite 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Seite 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.
Seite 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.