Books Books IF a straight line fall upon two parallel straight lines it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite, upon the same side ; and likewise the two interior angles upon the same side together... The Elements of Euclid: viz. the first six books, together with the eleventh ... - Page 26
by Robert Simson - 1835 - 513 pages ## Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...alternate angles equal to one another ; and the exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior...the same side together equal to two right angles. 3. PROP. XL VIII. — If the square described upon one t>f the sides of a triangle, be equal to the... ## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...alternate angles equal to one another ; and the exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to two rt. angles. DEMONSTRATION. — Ax. 4. If equals be added to unequals, the wholes are unequal. P. 13.... ## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...exterior angle equal to the interior and opposite on the same side ; and the two interior angles on the same side together equal to two right angles. Let the straight line EF intersect E the two parallel lines AB, CD ; the \ alternate angles AGH, GHD are \Ct__---- equal to... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior...the same side together equal to two right angles. Given the straight line EF falling upon the parallel straight lines AB, CD ; to prove that the alternate... ## A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...alternate angles equal to one another ; and the exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior...the same side together equal to two right angles. PKOP. XL VIII. — If the square described upon one of the sides of a triangle, be equal to the squares... ## The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the saine side together equal to two right angles. 6. Parallelograms upon the same base, and between the... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon... ## Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side, and likewise the two interior angles...the same side together equal to two right angles. 2. Draw a straight line from a given point without the circumference which shall touch a given circle.... ## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...alternate angles equal to each other ; and the exterior angle equal to the interior and opposite angle upon the same side; and likewise the two interior...the same side together equal to two right angles. (References — Prop. i. 13, 15; ax. l. 2, 4, 12.) Let the right line EF, fall on the parallel lines... 