A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página viii
3 , where five circles have to be described in order to cut off from a greater line a part equal to a less . The gain of such a system , whatever may be the value of it , lies in the mental satisfaction we derive from seeing a man ...
3 , where five circles have to be described in order to cut off from a greater line a part equal to a less . The gain of such a system , whatever may be the value of it , lies in the mental satisfaction we derive from seeing a man ...
Página ix
The former propose something which is to be proved , the latter something to be done , as for example : “ Any two sides of a triangle are together greater than the third side , ” and “ To bisect a given finite ...
The former propose something which is to be proved , the latter something to be done , as for example : “ Any two sides of a triangle are together greater than the third side , ” and “ To bisect a given finite ...
Página 14
An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of any thing . 14. A figure is that which is enclosed by one or more ...
An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of any thing . 14. A figure is that which is enclosed by one or more ...
Página 18
The whole is greater than its part . 10. Two straight lines cannot enclose a space . 11 . All right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line .
The whole is greater than its part . 10. Two straight lines cannot enclose a space . 11 . All right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line .
Página 21
From the greater of two given straight lines , to cut off a part equal to the less . Let AB and C be the two given straight lines , 1 . of which AB is the greater . It is required to cut off from AB , the greater , a part equal to the ...
From the greater of two given straight lines , to cut off a part equal to the less . Let AB and C be the two given straight lines , 1 . of which AB is the greater . It is required to cut off from AB , the greater , a part equal to the ...
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Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD AC is equal angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole