The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Página 15
... extremities of a line are points , and the intersection of two lines is a point . DEF . 3. A surface has position , and it has length and breadth , but not thickness . The boundaries of a surface , and the intersection of two surfaces ...
... extremities of a line are points , and the intersection of two lines is a point . DEF . 3. A surface has position , and it has length and breadth , but not thickness . The boundaries of a surface , and the intersection of two surfaces ...
Página 26
... extremities of the base . Ex . 6. The straight line which bisects the vertical angle of an isosceles triangle is perpendicular to the base . Ex . 7. Any point D is taken on the bisector of an angle BAC ; prove that , if AB is equal to ...
... extremities of the base . Ex . 6. The straight line which bisects the vertical angle of an isosceles triangle is perpendicular to the base . Ex . 7. Any point D is taken on the bisector of an angle BAC ; prove that , if AB is equal to ...
Página 63
... extremities of the former . THEOR . 32. Straight lines that are equal and parallel have equal projections on any other straight line ; conversely , parallel straight lines that have equal projections on another straight line are equal ...
... extremities of the former . THEOR . 32. Straight lines that are equal and parallel have equal projections on any other straight line ; conversely , parallel straight lines that have equal projections on another straight line are equal ...
Página 98
... extremities of the former . DEF . 41. 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 ...
... extremities of the former . DEF . 41. 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 ...
Página 108
... extremities of the line are called the segments of the line . A straight line is equal to the sum or difference of its seg- ments according as it is divided internally or externally . THEOR . 5. The rectangle contained by two given ...
... extremities of the line are called the segments of the line . A straight line is equal to the sum or difference of its seg- ments according as it is divided internally or externally . THEOR . 5. The rectangle contained by two given ...
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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.