The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth ; the Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored ; Also the Book of Euclid's Data, in Like Manner Corrected

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Desilver, 1829 - 516

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Strona 9 - Let it be granted that a straight line may be drawn from any one point to any other point.
Strona 81 - The angles in the same segment of a circle are equal to one another.
Strona 315 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Strona 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Strona 49 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Strona 96 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Strona 155 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Strona 22 - ANY two angles of a triangle are together less than two right angles.
Strona 25 - Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz.
Strona 24 - Any two sides of a triangle are together greater than the third side.

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