## The Common School Manual: A Regular and Connected Course of Elementary Studies : Embracing the Necessary and Useful Branches of a Common Education ... |

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第 555 頁

Thus : --- are The figure A , B , D , E , is called a

lines C A , C B , C D , and C E , radii , or semidiameters , and are all A D equal .

But the lines A , C , D , and 22.6 E , C , B , are diameters , either of 74 which

divides ...

Thus : --- are The figure A , B , D , E , is called a

**circle**, and C is its centre . Thelines C A , C B , C D , and C E , radii , or semidiameters , and are all A D equal .

But the lines A , C , D , and 22.6 E , C , B , are diameters , either of 74 which

divides ...

第 559 頁

to find the side of a square contained in a

Double the square of the semidiameter , and the square root of the sum will be

the ...

**CIRCLES**, & C .-- LESSON 19 . CASE 3. When the diameter of a**circle**is given ,to find the side of a square contained in a

**circle**, work by the following Rule .Double the square of the semidiameter , and the square root of the sum will be

the ...

第 560 頁

Thus :C In the segment A , B , C , D , the chord A , B , is 19.5 feet , and the versed

sign D | 6.75 A C , D , is 6.75 feet : -- what is the diam19.5 cter of the whole

? 19.5-2 = 9.75 X 9.75 = 95.0625 ; 6.75 = 14.083 the part sought , and 14.085 + ...

Thus :C In the segment A , B , C , D , the chord A , B , is 19.5 feet , and the versed

sign D | 6.75 A C , D , is 6.75 feet : -- what is the diam19.5 cter of the whole

**circle**? 19.5-2 = 9.75 X 9.75 = 95.0625 ; 6.75 = 14.083 the part sought , and 14.085 + ...

第 648 頁

All radii of the same

right line drawn from one side of the circumference to the other through the А

centre , dividing the

E ...

All radii of the same

**circle**are manifestly equal . 12. The diameter of a**circle**, is aright line drawn from one side of the circumference to the other through the А

centre , dividing the

**circle**into two equal parts , called semicircles , As , A , D , orE ...

第 651 頁

... on the spot where Gen. Warren fell . ELEMENTS OF GEOMETRY .-- LESSON 7

. Definitions . 13. An arc of a

B D ; and it is said to be an arc of as many degrees as it includes parts of the 360

...

... on the spot where Gen. Warren fell . ELEMENTS OF GEOMETRY .-- LESSON 7

. Definitions . 13. An arc of a

**circle**is any part of the circumference ; as , AB , orB D ; and it is said to be an arc of as many degrees as it includes parts of the 360

...

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第 540 頁 - The battle, sir, is not to the strong alone; it is to the vigilant, the active, the brave. Besides, sir, we have no election. If we were base enough to desire it, it is now too late to retire from the contest. There is no retreat but in submission and slavery ! Our chains are forged. Their clanking may be heard on the plains of Boston! The war is inevitable, and let it come! I repeat it, sir, let it come! It is in vain, sir, to extenuate the matter. Gentlemen may cry peace! peace!

第 554 頁 - Thou hast brought a vine out of Egypt : Thou hast cast out the heathen, and planted it. Thou preparedst room before it, And didst cause it to take deep root, And it filled the land. The hills were covered with the shadow of it, And the boughs thereof were like the goodly cedars. She sent out her boughs unto the sea, And her branches unto the river.

第 745 頁 - The friends of our country have long seen and desired that the power of making war, peace, and treaties, that of levying money and regulating commerce, and the correspondent executive and judicial authorities, should be fully and effectually vested in the General Government of the Union...

第 757 頁 - Every citizen may freely speak, write, and publish his sentiments, on all subjects, being responsible for the abuse of that right ; and no law shall be passed to restrain, or abridge, the liberty of speech, or of the press.

第 355 頁 - An Act for the Encouragement of Learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies during the time* therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.

第 748 頁 - Each house shall keep a journal of its proceedings, and publish the same, except such parts as may require secrecy. The doors of each house shall be kept open, except when the public welfare shall require secrecy.

第 540 頁 - Gentlemen may cry peace, peace, but there is no peace. The war is actually begun. The next gale that sweeps from the north will bring to our ears the clash of resounding arms. Our brethren are already in the field. Why stand we here idle ? What is it that gentlemen wish ? What would they have ? Is life so dear, or peace so sweet, as to be purchased at the price of chains and slavery ? Forbid it, Almighty God! I know not what course others may take, but as for me, give me liberty, or give me death!

第 744 頁 - That it is the opinion of this convention, that as soon as the conventions of nine states shall have ratified this constitution, the United States in congress assembled should fix a day on which electors should be appointed by the states which shall have ratified the same...

第 568 頁 - He had a fever when he was in Spain, And when the fit was on him, I did mark How he did shake...

第 725 頁 - Be the same more or less together with all and singular the hereditaments and appurtenances thereunto belonging or in any wise appertaining and the reversion and reversions remainder and remainders, rents, issues and profits thereof and all the estate, right, title, interest, claim and demand whatsoever of the said party of the first part either in law or equity of in and to the above bargained premises with the hereditaments and appurtenances.