The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 sider |
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Side 9
... base BC shall coincide with the base EF ; because , the point B coinciding with E , and C with F , if the base BC does not coincide with the base EF , two straight lines would inclose a space , which ( Ax . 10. ) is impossible ; therefore 4 ...
... base BC shall coincide with the base EF ; because , the point B coinciding with E , and C with F , if the base BC does not coincide with the base EF , two straight lines would inclose a space , which ( Ax . 10. ) is impossible ; therefore 4 ...
Side 10
... base of an isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the ... BC ' is common to the two triangles BFC , CGB ; wherefore ( I. 4. ) 4. The triangles BFC , CGB , are equal , and ...
... base of an isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the ... BC ' is common to the two triangles BFC , CGB ; wherefore ( I. 4. ) 4. The triangles BFC , CGB , are equal , and ...
Side 11
... base . Therefore the angles at the base , & c . Q.E.D. COROLLARY . - Hence every equilateral triangle is also ... B C For if AB be not equal to AC , one of them is greater than the other . Let AB be the greater , and from it cut ...
... base . Therefore the angles at the base , & c . Q.E.D. COROLLARY . - Hence every equilateral triangle is also ... B C For if AB be not equal to AC , one of them is greater than the other . Let AB be the greater , and from it cut ...
Side 13
... base BC equal to the base EF . The angle BAC is equal to the angle EDF . A D G B E For if the triangle ABC be applied to DEF , so that the point B be on E , and the straight line BC upon EF ; 1 . The point C shall coincide with the ...
... base BC equal to the base EF . The angle BAC is equal to the angle EDF . A D G B E For if the triangle ABC be applied to DEF , so that the point B be on E , and the straight line BC upon EF ; 1 . The point C shall coincide with the ...
Side 14
... BC , CD , each to each ; 2. The angle ACD is equal to the angle BCD ; therefore ( I. 4. ) 3 . wherefore The base AD is equal to the base DB ; 4. The straight line AB is divided into two equal parts in the point D. Which was to be done ...
... BC , CD , each to each ; 2. The angle ACD is equal to the angle BCD ; therefore ( I. 4. ) 3 . wherefore The base AD is equal to the base DB ; 4. The straight line AB is divided into two equal parts in the point D. Which was to be done ...
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The Synoptical Euclid; Being the First Four Books of Euclid's Elements of ... Euclid,Samuel A. GOOD Uten tilgangsbegrensning - 1854 |
The synoptical Euclid; being the first four books of Euclid's Elements of ... Euclides Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle