Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 - Mathematics |
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Page vi
... right angles to the same straight line , " will then be demonstrated as follows : - Let A B be parallel to CD , and from any point E of A B let EF be drawn at right angles to CD ( 12. ) : EF shall also be at right angles to AB . A E Α ...
... right angles to the same straight line , " will then be demonstrated as follows : - Let A B be parallel to CD , and from any point E of A B let EF be drawn at right angles to CD ( 12. ) : EF shall also be at right angles to AB . A E Α ...
Page 2
... angles equal to one another , each of them is called a right angle , and the straight line which stands upon the other is called a perpendicular to it . 11. If an angle be not right , it is called oblique . An oblique angle is said to ...
... angles equal to one another , each of them is called a right angle , and the straight line which stands upon the other is called a perpendicular to it . 11. If an angle be not right , it is called oblique . An oblique angle is said to ...
Page 4
... angles ; i . e . it will be assumed that if two straight lines are equal , they may be made to coincide with one another , and the same of two angles . SECTION 2. First Theorems . PROP . 1. ( EUc . i . Ax . 11. ) All right angles are ...
... angles ; i . e . it will be assumed that if two straight lines are equal , they may be made to coincide with one another , and the same of two angles . SECTION 2. First Theorems . PROP . 1. ( EUc . i . Ax . 11. ) All right angles are ...
Page 5
... right angles : and , conversely , if the adjacent angles , which one straight line makes with two others at the same point , be together equal to two right angles , these two straight lines shall be in one and the same straight line ...
... right angles : and , conversely , if the adjacent angles , which one straight line makes with two others at the same point , be together equal to two right angles , these two straight lines shall be in one and the same straight line ...
Page 7
one of the equal angles A B C , A CB , is equal to two right angles ( 2. ) . Cor . 3. The straight line which bi- sects the vertical angle of an isosceles triangle , bisects the base at right angles : and conversely , the straight line ...
one of the equal angles A B C , A CB , is equal to two right angles ( 2. ) . Cor . 3. The straight line which bi- sects the vertical angle of an isosceles triangle , bisects the base at right angles : and conversely , the straight line ...
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A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical