Elements of Geometry, Containing Books I. to VI. and Portions of Books XI. and XII. of EuclidA. Miller & Company, 1879 - 349 páginas |
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Página 7
... shew hereafter , be deduced from a more simple Postulate . The student must defer the consideration of this Postulate , till he has reached the 17th Proposition of Book I. Euclid next enumerates , as statements of fact , nine Axioms or ...
... shew hereafter , be deduced from a more simple Postulate . The student must defer the consideration of this Postulate , till he has reached the 17th Proposition of Book I. Euclid next enumerates , as statements of fact , nine Axioms or ...
Página 12
... Shew that if straight lines be drawn from A and B in the diagram of Prop . I. to the other point in which the circles intersect , another equilateral triangle will be described on AB . 2. By a similar construction to that in Prop . 1 ...
... Shew that if straight lines be drawn from A and B in the diagram of Prop . I. to the other point in which the circles intersect , another equilateral triangle will be described on AB . 2. By a similar construction to that in Prop . 1 ...
Página 20
... Shew that we can prove this Proposition by means of Prop . IV . and PROP . A. , without applying Prop . C. Ex . 2. If the equilateral triangle , employed in the construc- tion , be described with its vertex towards the given angle ; shew ...
... Shew that we can prove this Proposition by means of Prop . IV . and PROP . A. , without applying Prop . C. Ex . 2. If the equilateral triangle , employed in the construc- tion , be described with its vertex towards the given angle ; shew ...
Página 22
... Shew that in the diagram of Prop . ix . AF and ED intersect each other at right angles , and that ED is bisected by ... shew that OA , OB , OC are all equal . Ex . 3. Shew that Prop . XI . is a particular case of Prop . Ix PROPOSITION ...
... Shew that in the diagram of Prop . ix . AF and ED intersect each other at right angles , and that ED is bisected by ... shew that OA , OB , OC are all equal . Ex . 3. Shew that Prop . XI . is a particular case of Prop . Ix PROPOSITION ...
Página 24
... shew that BDC is an isosceles triangle . 4. D , E , F are points taken in the sides BC , CA , AB , of an equilateral triangle , so that BD - CE = AF . Shew that the triangle DEF is equilateral . 5. In a given straight line find a point ...
... shew that BDC is an isosceles triangle . 4. D , E , F are points taken in the sides BC , CA , AB , of an equilateral triangle , so that BD - CE = AF . Shew that the triangle DEF is equilateral . 5. In a given straight line find a point ...
Otras ediciones - Ver todas
Elements of Geometry: Containing Books I to VI and Portions of Books XI and ... Thomas Kirkland,J Hamblin 1829-1901 Smith Sin vista previa disponible - 2015 |
Elements of Geometry Containing Books I to VI and Portions of Books XI and ... J. Hamblin Smith,Thos Kirkland Sin vista previa disponible - 2018 |
Términos y frases comunes
ABCD AC=DF angle contained angles equal angular points base BC BC=EF centre chord circumference coincide diagonals diameter divided equal angles equiangular equilateral triangle equimultiples Eucl Euclid exterior angle given angle given circle given point given st given straight line greater than nB Hence hypotenuse inscribed intersect isosceles triangle less Let ABC Let the st lines be drawn magnitudes middle points multiple obtuse opposite angles opposite sides parallelogram pentagon perpendicular produced Prop prove Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radius ratio rectangle contained reflex angle rhombus right angles segment shew shewn straight line joining subtended sum of sqq Take any pt tangent THEOREM together=two rt trapezium triangle ABC triangles are equal twice rect vertex vertical angle