A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 42
... difference of AB and AC - is less than the third side BC . 3. The four sides of a quadrilateral are together greater than its two diagonals . PROPOSITION 21. THEOREM . If from the ends of the side of a triangle there be drawn two ...
... difference of AB and AC - is less than the third side BC . 3. The four sides of a quadrilateral are together greater than its two diagonals . PROPOSITION 21. THEOREM . If from the ends of the side of a triangle there be drawn two ...
Página 52
... difference between them : the angle ACB opposite AB in the one triangle is acute ( for DCB is an isosceles triangle ) , while ADB , the angle in the other triangle opposite to AB , is obtuse . Therefore , when two triangles have two ...
... difference between them : the angle ACB opposite AB in the one triangle is acute ( for DCB is an isosceles triangle ) , while ADB , the angle in the other triangle opposite to AB , is obtuse . Therefore , when two triangles have two ...
Página 64
... difference of AD and DE . At this point we enter upon the " third section " of the First Book , which treats of triangles and parallelograms upon equal bases , and between the same parallels and their relation to one another . Ex . 1 ...
... difference of AD and DE . At this point we enter upon the " third section " of the First Book , which treats of triangles and parallelograms upon equal bases , and between the same parallels and their relation to one another . Ex . 1 ...
Página 78
... AC are less than the square on BC the angle BAC is acute ; but if greater than BAC is obtuse . 2. Make a square equal to the difference of two given squares . BOOK II . INTRODUCTION . THE Second Book of Euclid 78 EUCLID'S ELEMENTS .
... AC are less than the square on BC the angle BAC is acute ; but if greater than BAC is obtuse . 2. Make a square equal to the difference of two given squares . BOOK II . INTRODUCTION . THE Second Book of Euclid 78 EUCLID'S ELEMENTS .
Página 88
... difference of the squares on two unequal lines AC , CD , is equal to the rectangle contained by their sum and difference . If AC contains m units and CD n units , then AD = m + n , and BD = m - n . But ( m + n ) ( m - n ) = m2 — n2 by ...
... difference of the squares on two unequal lines AC , CD , is equal to the rectangle contained by their sum and difference . If AC contains m units and CD n units , then AD = m + n , and BD = m - n . But ( m + n ) ( m - n ) = m2 — n2 by ...
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 CBA axioms base BC BC is equal 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 Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION 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