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 |
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Seite vi
... parallel to the same straight line . " 66 The converse part of Prop . 14 , viz . that " parallel straight lines are at right angles to the same straight line , " will then be demonstrated as follows : - Let A B be parallel to CD , and ...
... parallel to the same straight line . " 66 The converse part of Prop . 14 , viz . that " parallel straight lines are at right angles to the same straight line , " will then be demonstrated as follows : - Let A B be parallel to CD , and ...
Seite 11
... parallel : and , conversely , parallel straight lines are at right angles to the same straight line ; that is , if a straight line be drawn through the two at right angles to one of them , it shall be at right angles to the other ...
... parallel : and , conversely , parallel straight lines are at right angles to the same straight line ; that is , if a straight line be drawn through the two at right angles to one of them , it shall be at right angles to the other ...
Seite 12
... parallel , the perpendiculars drawn from the points of the one to the other must all of them be equal but that ... parallel : and , conversely , if two parallel straight lines be cut by the same straight line , they shall make equal ...
... parallel , the perpendiculars drawn from the points of the one to the other must all of them be equal but that ... parallel : and , conversely , if two parallel straight lines be cut by the same straight line , they shall make equal ...
Seite 13
... parallel to CD , L K is at right angles also to AB ( 14. ) . And , because , in the right - angled triangles H EL , H FK , the hypotenuse HE , and adjacent angle EHL of the one , are equal to the hypo- tenuse HF , and adjacent angle FHK ...
... parallel to CD , L K is at right angles also to AB ( 14. ) . And , because , in the right - angled triangles H EL , H FK , the hypotenuse HE , and adjacent angle EHL of the one , are equal to the hypo- tenuse HF , and adjacent angle FHK ...
Seite 14
... parallel to the sides of the other , or perpendicular to the sides of the other , in the same order , the two angles shall be equal . Let AB C , D E F be two angles in the same plane , having the sides AB , BC of the one parallel to the ...
... parallel to the sides of the other , or perpendicular to the sides of the other , in the same order , the two angles shall be equal . Let AB C , D E F be two angles in the same plane , having the sides AB , BC of the one parallel to the ...
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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