A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 32
... prop . 32 . Ex . Show how to find a point in a given line which shall be equi- distant from two given points . [ See Ex . to prop . 10. ] PROPOSITION 12. PROBLEM . To draw a straight line perpendicular to a given straight line of ...
... prop . 32 . Ex . Show how to find a point in a given line which shall be equi- distant from two given points . [ See Ex . to prop . 10. ] PROPOSITION 12. PROBLEM . To draw a straight line perpendicular to a given straight line of ...
Página 34
... prop . 9 . Ex . From a given point to draw a straight line equally inclined to two given straight lines which cut one another . [ See Ex . to last two props . ] PROPOSITION 13. THOREM . The angles which one straight line makes with ...
... prop . 9 . Ex . From a given point to draw a straight line equally inclined to two given straight lines which cut one another . [ See Ex . to last two props . ] PROPOSITION 13. THOREM . The angles which one straight line makes with ...
Página 35
... prop . ) be bisected by straight lines BG and BH show that the angle GBH will in each case be a right angle . PROPOSITION 14 . THEOREM . If , at a point in a straight line , two other straight lines , on the opposite sides of it , make ...
... prop . ) be bisected by straight lines BG and BH show that the angle GBH will in each case be a right angle . PROPOSITION 14 . THEOREM . If , at a point in a straight line , two other straight lines , on the opposite sides of it , make ...
Página 40
... prop . 5. Placed side by side they stand thus : - Prop . 5. If two sides of a triangle are equal , the angles opposite to them are also equal . Prop . 18 . If two sides of a triangle are unequal , the angles opposite to them are unequal ...
... prop . 5. Placed side by side they stand thus : - Prop . 5. If two sides of a triangle are equal , the angles opposite to them are also equal . Prop . 18 . If two sides of a triangle are unequal , the angles opposite to them are unequal ...
Página 45
... prop . 1 . 2. Having given a side and one of the diagonals of a rhombus , show how to construct it . PROPOSITION 23. PROBLEM . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle ...
... prop . 1 . 2. Having given a side and one of the diagonals of a rhombus , show how to construct it . PROPOSITION 23. PROBLEM . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle ...
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
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal