Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |
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A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight line , and the ...
A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight line , and the ...
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The sign ( or two parallel lines ) , is the sign of equality ; thus , A = B , implies that the quantity denoted by A is equal to the quantity denoted by B , and is read A equal to B. - 19. To signify that A is greater than B ...
The sign ( or two parallel lines ) , is the sign of equality ; thus , A = B , implies that the quantity denoted by A is equal to the quantity denoted by B , and is read A equal to B. - 19. To signify that A is greater than B ...
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... and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 15. Two lines are said to be parallel , when OF GEOMETRY . 5 BOOK I.
... and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 15. Two lines are said to be parallel , when OF GEOMETRY . 5 BOOK I.
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Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a ...
Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a ...
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And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not adjacent to each other .
And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not adjacent to each other .
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore