Search Images Maps Play YouTube News Gmail Drive More »
Sign in
 Books Books
If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent. If two sides of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse....
Calendar - Page 216
by University of Allahabad - 1908
Full view - About this book

## Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

...only one perpendicular can be drawn to that line. THEOR. 19. Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest ; and of the others, those which make equal angles with the perpendicular are equal ; and that which...
Full view - About this book

## Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...therefore ab = cd. QED Similarly the converse propositions may be proved. THEOREM 32. If there are three parallel straight lines, and the intercepts made by...any straight line that cuts them are equal, then the intercepts on any other straight line that cuts them are equal. Let the three parallel straight lines...
Full view - About this book

## The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...the angles in a regular pentagon, decagon, and dodecagon. 2. Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest ; and of the others, those which make equal angles with the perpendicular are equal ; and that which...
Full view - About this book

## Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...sides of the triangle, but contain a greater angle. THEOR. 15. Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest; and of the others, those which make equal angles with the perpendicular are equal; and that which makes...
Full view - About this book

## The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...and OC is less than the perimeter of the triangle. THEOR. 15. Of all the strain-lit lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest ; and of the others, those which make equal angles with the perpendicular are equal ; and that which...
Full view - About this book

## Euclid and His Modern Rivals

Lewis Carroll - Geometry - 1885 - 318 pages
...are equal, both being zero, whether the Lines are equal or not. P. 1 8, Th. 33. ' If there are three parallel straight Lines, and the intercepts made by...on any straight Line that cuts them are equal, then etc.' The subject of this Proposition is inconceivable : there are three intercepts, and by no possibility...
Full view - About this book

## The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...=».FH. Hence AC : EG : : BD : FH. Def. 5. QED COR. i. If there are three parallel straight lines, the intercepts made by them on any straight line that cuts them are to one another in the same ratio as the corresponding intercepts on any other straight line that cuts...
Full view - About this book

## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...Prop. 6, and is an immediate inference from Prop. 5. Ex. 24. — Of all straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest ; and of the others those which make equal angles with the perpendicular are equal; and that which...
Full view - About this book

## The School World: A Monthly Magazine of Educational Work and Progress, Volume 5

Education - 1903 - 692 pages
...can be drawn to a given straight "* 'rom a given point outside it, the perpendicular is the "hottest. The opposite sides and angles of a parallelogram are...the corresponding intercepts on any other straight line that cuts them are also equal. Areas. — Parallellograms on the same or equal bases and of the...
Full view - About this book

## The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...and OC is less than the perimeter of the triangle. THEOE. 15. Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest ; and of the others, those which make equal angles with the perpendicular are equal ; and that which...
Full view - About this book