Books Books
Triangles upon equal bases, and between the same parallels, are equal to one another.
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 26
by Dennis M'Curdy - 1846 - 138 pages

## The Calendar of King's College, London

1857 - 488 pages
...PR be drawn to the extremities of the chord QR, which ii parallel to A It, then shall 6. Triangles upon equal bases, and between the same parallels are equal to one another. 7. Let ABC, AB D be two equal triangles on the same base AS, and on opposite sides of it; join CD,...

## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...altitude, we obtain the square units, or units of surface, in the parallelogram. PROP. 36. — THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. CONSTRUCTION. — Pst. 1. A st. line may be drawn from any one point to any other point. DEMONSTRATION....

## Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 1

Euclides - 1868 - 88 pages
...Sul. DKM. 10 11 SCHoL. Ax. 2. 3. P. 34. P. 29. P. 4. Sub. Ax. 3. Recap. USE. Puor. XXXVI. THF.oII. Parallelograms upon equal bases, and between the same parallels, are equal to one anoti Coy. P*t. 1. DEM. P. 31. Ax. 1. P. 33. Def. AP 35. 60 PROP. XXXVI. UsE. Exp. 1 Hyp. 1. „ 2....

## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...in Euclid's First Book, in the proof of which, the property, printed above in italics, is used. 2. Parallelograms upon equal bases and between the same parallels are equal to each other. Show that the straight lines joining the points of bisection of the opposite sides of a...

## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...bisect a given rectilineal angle, that is, to divide it into two equal angles. 2. Parallelograms on equal bases, and between the same parallels, are equal to one another. 3. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite...

## The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...angles ; and the three interior angles of every triangle are together equal to two right angles. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION XXXViII. THEOREM. T•iangles upon equal bases and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD. Then the...

## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...is (Ax. 3), the parallelogram ABCD is equal to the parallelogram EBCF. PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases, and between the same -parallels, are equal to one another. Givtn two parallelograms ABCD and EFGH upon equal bases BC and FG, and between the same parallels AH...