 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 - Σελίδα 216των University of Allahabad - 1908Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Association for the improvement of geometrical teaching - 1876 - 66 σελίδες
...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... | |
 | James Maurice Wilson - 1878 - 450 σελίδες
...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... | |
 | 1881 - 504 σελίδες
...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... | |
 | Mathematical association - 1883 - 86 σελίδες
...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... | |
 | Mathematical association - 1884 - 146 σελίδες
...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... | |
 | Lewis Carroll - 1885 - 318 σελίδες
...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... | |
 | Association for the Improvement of Geometrical Teaching - 1888 - 208 σελίδες
...=».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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...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... | |
 | 1903 - 692 σελίδες
...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... | |
 | Association for the Improvement of Geometrical Teaching - 1903 - 342 σελίδες
...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... | |
| |
