Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with Explanatory Notes ...Printed at the University Press, 1845 - 383 sider |
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Side xiii
... Theorems useful in the solution of Problems . Book VIII . was a collection of Problems with their solutions by means of the Theorems in Book VII . Besides the treatise on the Conic Sections , Apollonius was the author of several ...
... Theorems useful in the solution of Problems . Book VIII . was a collection of Problems with their solutions by means of the Theorems in Book VII . Besides the treatise on the Conic Sections , Apollonius was the author of several ...
Side xxxi
... theorems than the two following ; the sides of similar triangles are proportionals ; and in right - angled triangles the square of the hypothenuse is equal to the squares of the two sides . And I am not afraid to suppose several unknown ...
... theorems than the two following ; the sides of similar triangles are proportionals ; and in right - angled triangles the square of the hypothenuse is equal to the squares of the two sides . And I am not afraid to suppose several unknown ...
Side 16
... THEOREM . Q.E.D. If at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight ...
... THEOREM . Q.E.D. If at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight ...
Side 18
... THEOREM . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle . Then any two of its angles together shall be less than two right angles . A B C D Produce any side BC to D. Then because ACD is ...
... THEOREM . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle . Then any two of its angles together shall be less than two right angles . A B C D Produce any side BC to D. Then because ACD is ...
Side 19
... THEOREM . The greater angle of every triangle is subtended by the greater side , or , has the greater side opposite to it . Let ABC be a triangle of which the angle ABC is greater than the angle BCA . Then the side AC shall be greater ...
... THEOREM . The greater angle of every triangle is subtended by the greater side , or , has the greater side opposite to it . Let ABC be a triangle of which the angle ABC is greater than the angle BCA . Then the side AC shall be greater ...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... Robert Potts Uten tilgangsbegrensning - 1860 |
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ... Euclid,Robert Potts Uten tilgangsbegrensning - 1847 |
Vanlige uttrykk og setninger
AC is equal altitude angle ABC angle ACB angle BAC Archimedes base BC bisected Book centre chord circle ABCD circumference cone constr cylinder demonstrated diagonal diameter divided draw equal angles equiangular equilateral triangle equimultiples Euclid Euclid's Elements exterior angle Geometry given circle given line given point given straight line gnomon greater inscribed intersection isosceles triangle less lines be drawn magnitudes meet multiple opposite angle opposite sides parallel parallelogram pentagon perpendicular polygon prism problem Proclus produced Prop proportionals proved Q.E.D. PROPOSITION radius rectangle contained rectilineal figure regular polygon remaining angle right angles right-angled triangle segment semicircle shew shewn similar solid angle solid parallelopipeds sphere square of AC tangents THEOREM third touches the circle trapezium triangle ABC triplicate ratio twice the rectangle vertex vertical angle wherefore