The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Página 16
... vertex , and the straight lines are called the arms , of the angle . A line drawn from the vertex and turning about the vertex in the plane of the angle from the position of coincidence with one arm to that of coincidence with the other ...
... vertex , and the straight lines are called the arms , of the angle . A line drawn from the vertex and turning about the vertex in the plane of the angle from the position of coincidence with one arm to that of coincidence with the other ...
Página 17
... vertex and common arms ) are said to be conjugate . The greater of the two is called the major conjugate , and the smaller the minor conjugate , angle . When the angle contained by two lines is spoken of with- out qualification , the ...
... vertex and common arms ) are said to be conjugate . The greater of the two is called the major conjugate , and the smaller the minor conjugate , angle . When the angle contained by two lines is spoken of with- out qualification , the ...
Página 20
... vertex is A , and DE , DF the arms of another straight angle , whose vertex is D : B Α C E D F then shall the straight angle contained by AB , AC be equal to that contained by DE , DF . Because the angle contained by AB , AC is a ...
... vertex is A , and DE , DF the arms of another straight angle , whose vertex is D : B Α C E D F then shall the straight angle contained by AB , AC be equal to that contained by DE , DF . Because the angle contained by AB , AC is a ...
Página 24
... vertices of any angles of a polygon which have not a common arm . DEF . 25. The perimeter of a rectilineal figure is the sum of its ... vertex . DEF . 29. An isosceles triangle is that which has 24 THE ELEMENTS OF PLANE GEOMETRY . Triangles.
... vertices of any angles of a polygon which have not a common arm . DEF . 25. The perimeter of a rectilineal figure is the sum of its ... vertex . DEF . 29. An isosceles triangle is that which has 24 THE ELEMENTS OF PLANE GEOMETRY . Triangles.
Página 26
... vertex is A points B and D are taken , and on the other arm points C and E , such that AB is equal to AC , and AD to AE : shew that BE is equal to CD . THEOR . 6. If two triangles have two angles of 26 THE ELEMENTS OF PLANE GEOMETRY .
... vertex is A points B and D are taken , and on the other arm points C and E , such that AB is equal to AC , and AD to AE : shew that BE is equal to CD . THEOR . 6. If two triangles have two angles of 26 THE ELEMENTS OF PLANE GEOMETRY .
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Términos y frases comunes
AB is equal ABCD AC is equal adjacent angles adjoining sides alternate angle angle ABC angle ACB angle AFG angle BAC angle CAB angle DEF angle EDF angle FGD angles are equal angles equal BA and AC base BC bisectors bisects centre circle cutting Constr construct a triangle contrapositive diagonal equal angles equal to AC exterior angle find the locus Geometry given angle given point given straight line greater Hence hypotenuse identically equal interior opposite angle isosceles triangle less Let ABC meet middle point obtuse angle opposite sides parallel straight lines parallelogram perpendicular point equidistant Prob produced quadrilateral radius rectangle contained rectangle whose base right angles right-angled triangle shew side AB side AC side DF sides equal square on AC squares on AB straight angle straight line drawn Theorem trapezium triangle ABC triangle DEF triangles are identically twice the rectangle vertex
Pasajes populares
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 70 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 56 - ... is equal to twice as many right angles as the polygon
Página 101 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Página 35 - Any two sides of a triangle are together greater than the third side.
Página 26 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
Página 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 85 - The locus of a point at a given distance from a given point is the circumference described from the point with the given distance as radius.
Página 42 - 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 110 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.